TSTP Solution File: SYN796-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:32:34 EDT 2024
% Result : Unsatisfiable 3.39s 1.19s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssRr(skf3(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(c_50,negated_conjecture,
ssRr(X0,skf2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(c_51,negated_conjecture,
( ~ ssRr(X0,X1)
| ssPv3(X0)
| ssPv3(X1)
| ssPv1(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(c_52,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(X1)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(c_53,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X1)
| ssPv4(X1)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(c_54,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv3(X1)
| ssPv1(X1)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(c_55,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(c_56,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X0)
| ssPv2(X1)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(c_57,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X1)
| ssPv1(X2)
| ssPv4(X0)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(c_58,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ssPv3(X1)
| ssPv3(X2)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(c_59,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(c_60,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ssPv3(X1)
| ssPv2(X1)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(c_61,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ssPv1(X1)
| ssPv4(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
cnf(c_62,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(c_63,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ssPv1(X1)
| ssPv4(X1)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
cnf(c_64,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv4(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
cnf(c_65,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ssPv3(X1)
| ssPv1(X1)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(c_66,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ssPv4(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
cnf(c_67,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(X2)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(c_68,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
cnf(c_69,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssPv4(X1)
| ssPv3(X1)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
cnf(c_70,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv3(X0)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(c_71,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
cnf(c_72,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(c_73,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(c_74,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(c_75,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(c_76,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssPv2(X2)
| ssPv1(X0)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
cnf(c_77,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(c_78,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
cnf(c_79,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(c_80,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(c_81,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(c_82,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(c_83,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv4(X2)
| ssPv2(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(c_84,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv4(X2)
| ssPv2(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(c_86,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ssPv4(X0)
| ssPv4(X3)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(c_87,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X2)
| ssPv3(X0)
| ssPv1(X1)
| ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(c_89,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv3(X2)
| ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(c_90,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X2)
| ssPv4(X3)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(c_94,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X3,X1)
| ~ ssPv3(X2)
| ~ ssPv1(X3)
| ~ ssPv4(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(c_95,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssPv1(X1)
| ~ ssPv1(X3)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(c_96,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssPv2(X3)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(c_97,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X1)
| ~ ssPv1(X3)
| ~ ssPv4(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(c_98,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv3(X2)
| ~ ssPv3(X3)
| ~ ssPv4(X0)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(c_99,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X3)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(c_100,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv1(X3)
| ~ ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(c_121,plain,
( ssPv4(X0)
| ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_54,c_53,c_56,c_65,c_61]) ).
cnf(c_122,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X0)
| ssPv2(X2) ),
inference(renaming,[status(thm)],[c_121]) ).
cnf(c_123,plain,
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_62,c_75]) ).
cnf(c_124,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(renaming,[status(thm)],[c_123]) ).
cnf(c_126,plain,
( ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_122]) ).
cnf(c_127,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X0)
| ssPv2(X2) ),
inference(renaming,[status(thm)],[c_126]) ).
cnf(c_128,plain,
( ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_124]) ).
cnf(c_129,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(renaming,[status(thm)],[c_128]) ).
cnf(c_1509,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X1) ),
inference(factoring,[status(thm)],[c_82]) ).
cnf(c_1514,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c_82,c_50]) ).
cnf(c_1521,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_1509,c_49]) ).
cnf(c_1523,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c_1509,c_50]) ).
cnf(c_1534,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[c_1521,c_73]) ).
cnf(c_1537,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(resolution,[status(thm)],[c_1521,c_55]) ).
cnf(c_1547,plain,
( ~ ssRr(skf3(X0),X0)
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv3(X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1549,plain,
( ~ ssRr(X0,skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1551,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,skf3(X0))
| ssPv1(skf3(X0))
| ssPv4(X1)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_1562,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ssPv1(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[c_1523,c_53]) ).
cnf(c_1588,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X0)
| ssPv4(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1551]) ).
cnf(c_1589,plain,
ssRr(skf3(skf3(X0)),skf3(X0)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1596,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1598,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1605,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(X0)
| ssPv2(skf3(X0))
| ssPv3(X1)
| ssPv4(X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_1640,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv1(X1)
| ssPv2(skf3(X0))
| ssPv4(X0)
| ssPv4(X2) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1642,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(X2)
| ssPv4(skf2(X0))
| ssPv4(X1)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1645,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ssPv3(X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_1647,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv4(X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_1649,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X2)
| ssPv4(X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_1652,plain,
ssRr(skf2(X0),skf2(skf2(X0))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1658,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssRr(X2,X1)
| ssPv3(X1)
| ssPv3(X2)
| ssPv4(X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1678,plain,
( ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_1714,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_1715,plain,
( ~ ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_1718,plain,
( ~ ssPv2(X0)
| ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_1722,plain,
( ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
cnf(c_1723,plain,
( ~ ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
cnf(c_1741,plain,
( ~ ssRr(X0,X1)
| ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_127]) ).
cnf(c_1742,plain,
( ~ ssRr(skf2(X0),X1)
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_1749,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1751,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1755,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_1759,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(X0))
| ssPv2(X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1761,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X1,X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv4(X0)
| ssPv2(X0)
| ssPv2(X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_1785,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c_1537,c_49]) ).
cnf(c_1805,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv2(X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1807,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X1,X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv2(X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1811,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv4(skf3(X1))
| ssPv1(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_1842,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,X0)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_1848,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf3(X1))
| ssPv3(X0)
| ssPv3(X1)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_1852,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ssPv2(X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_1893,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_50,c_59]) ).
cnf(c_1972,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssPv1(X1)
| ssPv4(skf3(skf3(X0)))
| ssPv2(skf3(X0))
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_1640]) ).
cnf(c_1974,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0))
| ssPv3(X0)
| ssPv2(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_1979,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv4(skf3(skf3(X0))) ),
inference(instantiation,[status(thm)],[c_1647]) ).
cnf(c_1988,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1649]) ).
cnf(c_2013,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_129]) ).
cnf(c_2014,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_129]) ).
cnf(c_2017,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X1,X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(X1) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_2036,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X1))
| ssPv1(X1)
| ssPv4(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_63]) ).
cnf(c_2054,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv2(X0) ),
inference(factoring,[status(thm)],[c_100]) ).
cnf(c_2068,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X2,skf3(X1))
| ~ ssPv3(X0)
| ssPv1(skf3(X1))
| ssPv4(skf3(X1))
| ssPv4(X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_2070,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ssPv1(X2) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_2071,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssRr(X3,skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssPv4(X2)
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_2073,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv4(X0)
| ssPv1(skf3(X1))
| ssPv3(X0)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_2086,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(skf3(X1)) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_2087,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X2)
| ssPv1(skf3(X1)) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_2088,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ssPv1(skf3(X1))
| ssPv3(X0) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_2099,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_50,c_64]) ).
cnf(c_2109,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0))
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
cnf(c_2128,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_2054,c_49]) ).
cnf(c_2129,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_2054,c_50]) ).
cnf(c_2130,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1) ),
inference(resolution,[status(thm)],[c_2054,c_49]) ).
cnf(c_2134,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_66]) ).
cnf(c_2142,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_2129,c_49]) ).
cnf(c_2147,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_50,c_67]) ).
cnf(c_2183,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ssPv3(skf3(X1))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_68]) ).
cnf(c_2186,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_69]) ).
cnf(c_2195,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ssPv3(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_50,c_70]) ).
cnf(c_2201,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_71]) ).
cnf(c_2243,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1988]) ).
cnf(c_2251,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_72]) ).
cnf(c_2252,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv2(X1)
| ssPv2(skf2(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_72]) ).
cnf(c_2287,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_2292,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ssPv3(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_2297,plain,
( ssPv4(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_1741]) ).
cnf(c_2298,plain,
( ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_1741]) ).
cnf(c_2302,plain,
( ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_2307,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_74]) ).
cnf(c_2319,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ssPv1(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_76]) ).
cnf(c_2320,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf2(X0))
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_76]) ).
cnf(c_2366,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ssPv1(skf3(skf3(X0)))
| ssPv4(skf3(skf3(X0)))
| ssPv3(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1547]) ).
cnf(c_2421,plain,
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(skf2(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_2298,c_1714]) ).
cnf(c_2428,plain,
ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0)))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2447,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(X1,skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ssPv3(X1) ),
inference(instantiation,[status(thm)],[c_1658]) ).
cnf(c_2450,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_79]) ).
cnf(c_2451,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_79]) ).
cnf(c_2454,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv4(X1) ),
inference(instantiation,[status(thm)],[c_1605]) ).
cnf(c_2628,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_49,c_81]) ).
cnf(c_2699,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(skf3(X0),X2)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X1)
| ssPv2(X2) ),
inference(superposition,[status(thm)],[c_49,c_84]) ).
cnf(c_2708,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_50,c_1742]) ).
cnf(c_2710,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv1(X2) ),
inference(superposition,[status(thm)],[c_49,c_87]) ).
cnf(c_2716,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv1(X2) ),
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_2839,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_2292]) ).
cnf(c_2863,plain,
( ~ ssRr(skf3(X0),skf2(skf3(X0)))
| ~ ssRr(skf3(X0),X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv3(skf2(skf3(X0)))
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_2302]) ).
cnf(c_2907,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(X1,skf3(X0))
| ~ ssPv3(X1)
| ssPv4(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2068]) ).
cnf(c_2915,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2086]) ).
cnf(c_2920,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(X1)
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2087]) ).
cnf(c_2927,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ssPv3(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2088]) ).
cnf(c_2960,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X1,X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_2968,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1749]) ).
cnf(c_2972,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1761]) ).
cnf(c_2974,plain,
( ~ ssRr(skf2(X0),skf2(skf2(X0)))
| ~ ssRr(X0,skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ~ ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1761]) ).
cnf(c_2983,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1807]) ).
cnf(c_3038,plain,
( ~ ssPv2(skf3(X0))
| ssPv1(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_2013]) ).
cnf(c_3039,plain,
( ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_2013]) ).
cnf(c_3050,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1759]) ).
cnf(c_3057,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1805]) ).
cnf(c_3068,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2017]) ).
cnf(c_3075,plain,
( ~ ssPv1(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_1811]) ).
cnf(c_3103,plain,
ssRr(skf3(X0),skf2(skf3(X0))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3116,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_1848]) ).
cnf(c_3122,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv4(skf2(X0))
| ssPv2(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2454]) ).
cnf(c_3225,plain,
( ~ ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_3075,c_3116]) ).
cnf(c_3264,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(X0))
| ~ ssPv4(skf3(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_1534,c_1521]) ).
cnf(c_3265,plain,
( ~ ssPv4(skf3(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_3264,c_50,c_73,c_1521,c_1598,c_1785,c_2130,c_2251,c_2307]) ).
cnf(c_3266,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2) ),
inference(renaming,[status(thm)],[c_3265]) ).
cnf(c_3272,plain,
( ~ ssPv1(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_1893]) ).
cnf(c_3277,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_1974]) ).
cnf(c_3278,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_1974]) ).
cnf(c_3359,plain,
( ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_2014]) ).
cnf(c_3361,plain,
( ~ ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_2036]) ).
cnf(c_3362,plain,
( ~ ssPv3(skf3(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_50,c_2036]) ).
cnf(c_3482,plain,
( ssPv1(skf2(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_2708,c_3359]) ).
cnf(c_3522,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_1645]) ).
cnf(c_3547,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X1,X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X1)
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1842]) ).
cnf(c_3575,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X1) ),
inference(instantiation,[status(thm)],[c_1852]) ).
cnf(c_3583,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_2109]) ).
cnf(c_3584,plain,
( ~ ssPv2(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_2109]) ).
cnf(c_3600,plain,
( ~ ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_1722,c_3584]) ).
cnf(c_3601,plain,
( ~ ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_1718,c_3584]) ).
cnf(c_3608,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_1722,c_3583]) ).
cnf(c_3609,plain,
( ~ ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_1718,c_3583]) ).
cnf(c_3619,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv4(skf3(skf3(X0)))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_2134]) ).
cnf(c_3620,plain,
( ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv2(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_2134]) ).
cnf(c_3682,plain,
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_2147]) ).
cnf(c_3762,plain,
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_2183]) ).
cnf(c_3766,plain,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_2186]) ).
cnf(c_3767,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_2186]) ).
cnf(c_3770,plain,
( ~ ssPv3(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_2195]) ).
cnf(c_3771,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_2195]) ).
cnf(c_3802,plain,
( ~ ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3762,c_50,c_49,c_2983,c_3122,c_3762]) ).
cnf(c_3808,plain,
( ~ ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_1678,c_3767]) ).
cnf(c_3815,plain,
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_3682,c_3771]) ).
cnf(c_3889,plain,
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_50,c_49,c_52,c_1715,c_2307,c_2972,c_3278]) ).
cnf(c_3890,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_3889]) ).
cnf(c_3892,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_3890]) ).
cnf(c_3893,plain,
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_3890]) ).
cnf(c_3912,plain,
( ssPv2(skf2(X0))
| ssPv2(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2421,c_50,c_49,c_2421,c_2983,c_3122,c_3762]) ).
cnf(c_3913,plain,
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(skf2(X0)) ),
inference(renaming,[status(thm)],[c_3912]) ).
cnf(c_3939,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_50,c_1742]) ).
cnf(c_3940,plain,
( ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2014,c_3359]) ).
cnf(c_3948,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_78]) ).
cnf(c_3949,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_50,c_78]) ).
cnf(c_3950,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_79]) ).
cnf(c_3951,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_79]) ).
cnf(c_3952,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_49,c_80]) ).
cnf(c_3953,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_50,c_80]) ).
cnf(c_3954,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_49,c_81]) ).
cnf(c_3955,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_50,c_81]) ).
cnf(c_3960,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(skf3(X0),X2)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X1)
| ssPv2(X2) ),
inference(superposition,[status(thm)],[c_49,c_84]) ).
cnf(c_3966,plain,
( ~ ssPv1(skf2(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_3949]) ).
cnf(c_3967,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_3949]) ).
cnf(c_3970,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3950,c_50,c_49,c_55,c_1509,c_1514,c_1751,c_2130,c_2147,c_2302,c_2450,c_3225,c_3522,c_3771,c_3802]) ).
cnf(c_3973,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(skf3(skf3(X0))) ),
inference(superposition,[status(thm)],[c_49,c_3970]) ).
cnf(c_3974,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(superposition,[status(thm)],[c_50,c_3970]) ).
cnf(c_3978,plain,
( ~ ssPv2(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_3953]) ).
cnf(c_3982,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_3955]) ).
cnf(c_3985,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv1(X2) ),
inference(superposition,[status(thm)],[c_49,c_87]) ).
cnf(c_3989,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv1(X2) ),
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_3991,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X1)
| ssPv4(X2)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_90]) ).
cnf(c_4011,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_3948]) ).
cnf(c_4015,plain,
( ~ ssPv3(skf2(X0))
| ~ ssRr(skf2(X0),X1)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3951,c_1742,c_2014,c_2252,c_2451,c_3600,c_3601,c_3771]) ).
cnf(c_4016,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(renaming,[status(thm)],[c_4015]) ).
cnf(c_4018,plain,
( ~ ssPv1(skf2(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_4016]) ).
cnf(c_4020,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_3952]) ).
cnf(c_4030,plain,
( ssPv1(skf2(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_3939,c_3940]) ).
cnf(c_4034,plain,
( ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1718,c_50,c_49,c_1714,c_1718,c_1722,c_2421,c_3039,c_3068,c_3359,c_3967,c_4020]) ).
cnf(c_4035,plain,
( ~ ssPv2(X0)
| ssPv2(skf3(X0))
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_4034]) ).
cnf(c_4043,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_3954]) ).
cnf(c_4044,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(skf2(skf3(X0))) ),
inference(superposition,[status(thm)],[c_50,c_3954]) ).
cnf(c_4053,plain,
( ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_4030,c_4018]) ).
cnf(c_4055,plain,
( ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2013,c_3039]) ).
cnf(c_4060,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3978,c_3359,c_3978]) ).
cnf(c_4061,plain,
( ~ ssPv2(skf2(X0))
| ~ ssPv3(X0)
| ssPv1(skf2(X0)) ),
inference(renaming,[status(thm)],[c_4060]) ).
cnf(c_4064,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv2(X0)
| ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3982,c_3039,c_3359,c_3584,c_3982,c_4035,c_4043]) ).
cnf(c_4071,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(superposition,[status(thm)],[c_3973,c_4011]) ).
cnf(c_4074,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4020,c_3039,c_4020]) ).
cnf(c_4083,plain,
( ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_4055,c_4043]) ).
cnf(c_4097,plain,
( ssPv3(skf3(X0))
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1)
| ssPv1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_3985,c_50,c_49,c_55,c_1509,c_1514,c_1751,c_2130,c_2147,c_2302,c_2450,c_2710,c_3225,c_3522,c_3771,c_3802]) ).
cnf(c_4098,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ssPv3(skf3(X0))
| ssPv1(X2) ),
inference(renaming,[status(thm)],[c_4097]) ).
cnf(c_4099,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv1(X1)
| ssPv3(skf3(skf3(X1)))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_4098]) ).
cnf(c_4100,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X1))
| ssPv3(skf3(X1))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_4098]) ).
cnf(c_4102,plain,
( ~ ssPv1(skf2(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_4100]) ).
cnf(c_4103,plain,
( ~ ssPv1(skf2(skf2(X0)))
| ssPv3(skf3(skf2(X0)))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_50,c_4100]) ).
cnf(c_4108,plain,
( ssPv3(skf3(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_4030,c_4103]) ).
cnf(c_4174,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv4(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1) ),
inference(resolution,[status(thm)],[c_3266,c_50]) ).
cnf(c_4176,plain,
( ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_4174,c_50,c_49,c_53,c_1521,c_1598,c_1785,c_2251,c_2287,c_2307,c_3575,c_3766,c_3973,c_4011]) ).
cnf(c_4177,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0) ),
inference(renaming,[status(thm)],[c_4176]) ).
cnf(c_4186,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[c_4177,c_49]) ).
cnf(c_4188,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_4177,c_50]) ).
cnf(c_4194,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_4186,c_77]) ).
cnf(c_4217,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_4188,c_77]) ).
cnf(c_4224,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_4188,c_78]) ).
cnf(c_4225,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[c_4188,c_64]) ).
cnf(c_4227,plain,
( ~ ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssPv1(skf3(X1))
| ~ ssRr(X0,skf3(X1))
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4224,c_2128,c_4035,c_4083]) ).
cnf(c_4228,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(renaming,[status(thm)],[c_4227]) ).
cnf(c_4238,plain,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_4228,c_49]) ).
cnf(c_4240,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4238,c_4071,c_4188]) ).
cnf(c_4409,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv4(X1) ),
inference(resolution,[status(thm)],[c_4194,c_49]) ).
cnf(c_4411,plain,
( ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_4409,c_1589,c_2968,c_3619,c_4020,c_4186,c_4188]) ).
cnf(c_4412,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(renaming,[status(thm)],[c_4411]) ).
cnf(c_4536,plain,
( ~ ssPv1(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_1811]) ).
cnf(c_4555,plain,
( ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4536,c_49,c_1547,c_3039,c_3075,c_3361,c_3608,c_3609,c_3913,c_4061,c_4102]) ).
cnf(c_4563,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv3(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2447]) ).
cnf(c_4576,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_1848]) ).
cnf(c_4731,plain,
( ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_4555,c_4576]) ).
cnf(c_4732,plain,
( ssPv3(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_2298,c_4576]) ).
cnf(c_4733,plain,
( ssPv3(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_2297,c_4576]) ).
cnf(c_4807,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv4(skf3(X0))
| ssPv4(skf2(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_1642]) ).
cnf(c_4820,plain,
( ssPv3(X0)
| ~ ssPv1(skf2(X0))
| ~ ssRr(X0,X1)
| ssPv2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1893,c_50,c_49,c_1714,c_1718,c_1722,c_1893,c_2109,c_2186,c_2421,c_3039,c_3068,c_3359,c_3890,c_3967,c_3974,c_4020]) ).
cnf(c_4821,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv2(X1) ),
inference(renaming,[status(thm)],[c_4820]) ).
cnf(c_4824,plain,
( ~ ssPv1(skf2(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_4821]) ).
cnf(c_4921,plain,
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_4732,c_50,c_1549,c_3600,c_4053,c_4824]) ).
cnf(c_4922,plain,
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_4921]) ).
cnf(c_4925,plain,
( ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_4922,c_3940]) ).
cnf(c_4959,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv3(skf3(skf3(X0)))
| ssPv2(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2073]) ).
cnf(c_4989,plain,
( ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4733,c_49,c_1547,c_3608,c_3609,c_3913,c_4061,c_4102]) ).
cnf(c_4990,plain,
( ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_4989]) ).
cnf(c_5025,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv4(X1) ),
inference(resolution,[status(thm)],[c_4217,c_49]) ).
cnf(c_5027,plain,
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_5025,c_50,c_49,c_1589,c_1755,c_2142,c_3057,c_3068,c_3682,c_3982,c_4188,c_4240]) ).
cnf(c_5028,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_5027]) ).
cnf(c_5070,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv1(X3) ),
inference(resolution,[status(thm)],[c_5028,c_99]) ).
cnf(c_5071,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_5028,c_77]) ).
cnf(c_5073,plain,
( ~ ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5071,c_50,c_49,c_1988,c_2287,c_3272,c_3620,c_4011,c_4044,c_4061,c_4188,c_5028]) ).
cnf(c_5074,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1) ),
inference(renaming,[status(thm)],[c_5073]) ).
cnf(c_5076,plain,
( ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_5070,c_50,c_49,c_53,c_72,c_122,c_1652,c_1988,c_2974,c_3482,c_3620,c_4061,c_4177,c_4807,c_5028,c_5074]) ).
cnf(c_5077,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0) ),
inference(renaming,[status(thm)],[c_5076]) ).
cnf(c_5100,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_1974]) ).
cnf(c_5145,plain,
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv2(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_5100,c_3277,c_3802,c_4035]) ).
cnf(c_5146,plain,
( ~ ssPv2(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(renaming,[status(thm)],[c_5145]) ).
cnf(c_5151,plain,
( ~ ssPv3(skf3(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_50,c_2036]) ).
cnf(c_5180,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_5074,c_50]) ).
cnf(c_5188,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_5180,c_77]) ).
cnf(c_5190,plain,
( ~ ssPv3(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssRr(skf2(X0),X1)
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5188,c_50,c_49,c_1742,c_2243,c_2252,c_4061,c_4064,c_4188,c_5028]) ).
cnf(c_5191,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(renaming,[status(thm)],[c_5190]) ).
cnf(c_5220,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_5191,c_50]) ).
cnf(c_5251,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[c_5220,c_129]) ).
cnf(c_5252,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf3(X0))
| ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ssPv1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_5251,c_49,c_1596,c_2070,c_2142,c_2628,c_3620,c_3966,c_4043,c_4044,c_4061,c_4188,c_5028]) ).
cnf(c_5253,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(renaming,[status(thm)],[c_5252]) ).
cnf(c_5277,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_5220,c_81]) ).
cnf(c_5281,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5277,c_2086,c_2128]) ).
cnf(c_5296,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X1)
| ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_2960]) ).
cnf(c_5343,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_3547]) ).
cnf(c_5353,plain,
( ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv4(X0)
| ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2099,c_50,c_49,c_1652,c_1714,c_1718,c_1722,c_2099,c_2421,c_2974,c_3039,c_3068,c_3359,c_3362,c_3482,c_3967,c_4020,c_4083,c_4108,c_4925]) ).
cnf(c_5357,plain,
( ssPv4(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_50,c_5353]) ).
cnf(c_5368,plain,
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_5357,c_3893]) ).
cnf(c_5392,plain,
( ~ ssPv1(X0)
| ssPv3(skf3(skf3(X0)))
| ssPv1(skf3(skf3(X0))) ),
inference(superposition,[status(thm)],[c_49,c_4099]) ).
cnf(c_5396,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2071]) ).
cnf(c_5758,plain,
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_2147]) ).
cnf(c_5777,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_5077,c_50]) ).
cnf(c_5778,plain,
( ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5777,c_49,c_1714,c_1741,c_2251,c_4035,c_4043,c_5343,c_5777]) ).
cnf(c_5779,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(renaming,[status(thm)],[c_5778]) ).
cnf(c_5781,plain,
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_2183]) ).
cnf(c_5793,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[c_5779,c_49]) ).
cnf(c_5795,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[c_5779,c_50]) ).
cnf(c_5818,plain,
( ~ ssRr(skf2(X0),skf3(skf3(X1)))
| ~ ssPv2(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv4(skf3(skf3(X1))) ),
inference(resolution,[status(thm)],[c_5793,c_1562]) ).
cnf(c_5824,plain,
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_5818,c_50,c_49,c_1523,c_1751,c_2972,c_3038,c_3967,c_3974,c_4824,c_5028,c_5793]) ).
cnf(c_5825,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_5824]) ).
cnf(c_5833,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X1))
| ~ ssRr(skf3(X1),X2)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(resolution,[status(thm)],[c_5793,c_5253]) ).
cnf(c_5885,plain,
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_5781,c_50,c_49,c_2983,c_3122,c_3762,c_4035]) ).
cnf(c_5896,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv3(skf3(skf3(X0)))
| ssPv4(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2907]) ).
cnf(c_5903,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2915]) ).
cnf(c_5908,plain,
( ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
| ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2915]) ).
cnf(c_5923,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X0))
| ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(instantiation,[status(thm)],[c_2920]) ).
cnf(c_5956,plain,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_2186]) ).
cnf(c_5957,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_2186]) ).
cnf(c_5998,plain,
( ~ ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5956,c_49,c_2142,c_2839,c_3272,c_3620,c_3893,c_3892,c_3966,c_4043,c_4044,c_4061,c_4188,c_4990,c_5028]) ).
cnf(c_6005,plain,
( ssPv3(skf3(skf3(X0)))
| ssPv1(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_2297,c_5998]) ).
cnf(c_6076,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssRr(X3,skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_5795,c_98]) ).
cnf(c_6077,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[c_5795,c_129]) ).
cnf(c_6079,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf3(X0))
| ~ ssPv3(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6077,c_2142,c_3039,c_3038,c_3272,c_3620,c_3966,c_3982,c_4043,c_4044,c_4061,c_4102,c_4188,c_4990,c_5028,c_5793]) ).
cnf(c_6080,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(renaming,[status(thm)],[c_6079]) ).
cnf(c_6083,plain,
( ~ ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6076,c_50,c_49,c_1589,c_2983,c_3039,c_3122,c_3762,c_4035,c_5392,c_5396,c_5793,c_5795,c_6005,c_6080]) ).
cnf(c_6084,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv4(X2) ),
inference(renaming,[status(thm)],[c_6083]) ).
cnf(c_6140,plain,
( ~ ssPv1(X0)
| ~ ssPv1(skf3(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ssPv1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_3989,c_70,c_2716,c_5779]) ).
cnf(c_6141,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv1(X2) ),
inference(renaming,[status(thm)],[c_6140]) ).
cnf(c_6142,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_49,c_6141]) ).
cnf(c_6143,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_50,c_6141]) ).
cnf(c_6181,plain,
( ~ ssPv4(X1)
| ~ ssPv1(skf3(X0))
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3991,c_49,c_5296,c_5343,c_5998]) ).
cnf(c_6182,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(X1)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_6181]) ).
cnf(c_6184,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(X0)
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_6182]) ).
cnf(c_6185,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(skf2(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_6182]) ).
cnf(c_6257,plain,
( ~ ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_1678,c_5957]) ).
cnf(c_6319,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[c_5825,c_67]) ).
cnf(c_6322,plain,
( ~ ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6319,c_50,c_49,c_55,c_1509,c_1514,c_1751,c_2130,c_2147,c_2201,c_2302,c_2450,c_3039,c_3225,c_3359,c_3522,c_3584,c_3767,c_3771,c_3802,c_3982,c_4035,c_4043,c_5825,c_6080]) ).
cnf(c_6323,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_6322]) ).
cnf(c_6349,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X1) ),
inference(resolution,[status(thm)],[c_6080,c_52]) ).
cnf(c_6351,plain,
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6349,c_4990,c_5795,c_5885,c_6080]) ).
cnf(c_6352,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ssPv3(skf3(X0)) ),
inference(renaming,[status(thm)],[c_6351]) ).
cnf(c_6419,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(factoring,[status(thm)],[c_5281]) ).
cnf(c_6421,plain,
( ~ ssRr(skf3(X0),skf3(X1))
| ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X1) ),
inference(resolution,[status(thm)],[c_5281,c_49]) ).
cnf(c_6423,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6421,c_2142,c_3272,c_3620,c_3966,c_4043,c_4044,c_4061,c_4188,c_5028]) ).
cnf(c_6424,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(renaming,[status(thm)],[c_6423]) ).
cnf(c_6426,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_5281,c_50]) ).
cnf(c_6428,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_5281,c_49]) ).
cnf(c_6437,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X1) ),
inference(resolution,[status(thm)],[c_6424,c_52]) ).
cnf(c_6439,plain,
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6437,c_49,c_1589,c_3057,c_3802,c_5146,c_5357,c_5885,c_6185,c_6424]) ).
cnf(c_6440,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv3(skf3(X0)) ),
inference(renaming,[status(thm)],[c_6439]) ).
cnf(c_6452,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6424,c_71]) ).
cnf(c_6455,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6452,c_50,c_49,c_1589,c_1714,c_1718,c_1722,c_2142,c_2421,c_3039,c_3057,c_3068,c_3272,c_3359,c_3620,c_3802,c_3967,c_3966,c_4020,c_4043,c_4044,c_4061,c_4188,c_5028,c_5146,c_5343,c_5357,c_5885,c_6185,c_6424]) ).
cnf(c_6502,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_6419,c_49]) ).
cnf(c_6504,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_6502,c_49,c_1589,c_3361,c_3893,c_4074,c_5343,c_5793,c_5903,c_6502]) ).
cnf(c_6505,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(renaming,[status(thm)],[c_6504]) ).
cnf(c_6514,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ssPv3(skf3(skf3(X0)))
| ssPv1(X1) ),
inference(resolution,[status(thm)],[c_6505,c_52]) ).
cnf(c_6516,plain,
( ssPv3(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv1(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_6514,c_49,c_1589,c_3361,c_3893,c_4074,c_4186,c_4959,c_5343,c_5793,c_5903,c_6502]) ).
cnf(c_6517,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ssPv3(skf3(skf3(X0))) ),
inference(renaming,[status(thm)],[c_6516]) ).
cnf(c_6529,plain,
( ~ ssRr(X0,skf3(skf3(X1)))
| ~ ssPv1(skf3(skf3(X1)))
| ~ ssPv4(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_6505,c_55]) ).
cnf(c_6556,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ssPv3(skf3(skf3(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6517,c_6440]) ).
cnf(c_6569,plain,
( ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_6426,c_49]) ).
cnf(c_6593,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssRr(X2,skf3(skf3(X0)))
| ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6569,c_71]) ).
cnf(c_6597,plain,
( ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6593,c_49,c_1589,c_2428,c_3050,c_4186,c_4555,c_4959,c_5908,c_5923,c_6184]) ).
cnf(c_6628,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_6597,c_77]) ).
cnf(c_6631,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6628,c_49,c_1589,c_2927,c_3050,c_4194,c_4555,c_5923,c_6184,c_6428]) ).
cnf(c_6661,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_6143]) ).
cnf(c_6662,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(superposition,[status(thm)],[c_50,c_6143]) ).
cnf(c_6669,plain,
( ~ ssPv1(skf3(X0))
| ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6662,c_2298,c_3359,c_4925,c_6455,c_6662]) ).
cnf(c_6707,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6529,c_6455,c_6455]) ).
cnf(c_6716,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_6707,c_77]) ).
cnf(c_6719,plain,
( ~ ssRr(X1,X2)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6716,c_2297,c_3039,c_4990,c_6631,c_6661,c_6707]) ).
cnf(c_6720,plain,
( ~ ssRr(skf3(skf3(X0)),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(renaming,[status(thm)],[c_6719]) ).
cnf(c_6742,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6661,c_2297,c_3039,c_4990,c_6661,c_6707]) ).
cnf(c_6745,plain,
( ~ ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_4055,c_6742]) ).
cnf(c_6757,plain,
( ~ ssPv3(skf2(skf3(X0)))
| ~ ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_2195]) ).
cnf(c_6758,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_50,c_2195]) ).
cnf(c_6776,plain,
( ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6758,c_3771,c_4925]) ).
cnf(c_6779,plain,
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_5758,c_6776]) ).
cnf(c_6797,plain,
( ~ ssPv3(skf2(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6757,c_3039,c_3770,c_4990]) ).
cnf(c_6890,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X1))
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(resolution,[status(thm)],[c_5833,c_49]) ).
cnf(c_6903,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[c_6890,c_49]) ).
cnf(c_6911,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ssPv1(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[c_6903,c_53]) ).
cnf(c_6923,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(X2,skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6903,c_72]) ).
cnf(c_6960,plain,
( ~ ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2201,c_2201,c_3893,c_6323,c_6424,c_6745]) ).
cnf(c_6961,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_6960]) ).
cnf(c_6962,plain,
( ~ ssPv4(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_6961]) ).
cnf(c_6963,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_6961]) ).
cnf(c_6981,plain,
( ~ ssPv4(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_4030,c_6963]) ).
cnf(c_6989,plain,
( ~ ssPv1(X0)
| ssPv1(skf3(X0))
| ssPv2(skf3(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_4555,c_6962]) ).
cnf(c_7083,plain,
( ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6257,c_49,c_1547,c_2298,c_3039,c_3075,c_3359,c_3361,c_3608,c_3609,c_3808,c_3913,c_4061,c_4102,c_4824,c_4925,c_6455,c_6662]) ).
cnf(c_7113,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(resolution,[status(thm)],[c_6084,c_49]) ).
cnf(c_7115,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_7113,c_49,c_1588,c_1589,c_1979,c_3039,c_4020,c_5795,c_6352,c_7113]) ).
cnf(c_7251,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[c_7115,c_49]) ).
cnf(c_7569,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0))
| ~ ssPv4(X1) ),
inference(resolution,[status(thm)],[c_6720,c_49]) ).
cnf(c_7571,plain,
( ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_7569,c_1589,c_2297,c_3039,c_4412,c_4990,c_5923,c_6556,c_6661,c_6707,c_6962]) ).
cnf(c_7572,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(renaming,[status(thm)],[c_7571]) ).
cnf(c_7644,plain,
( ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6779,c_2298,c_3359,c_3815,c_4011,c_4731,c_4925,c_6455,c_6662,c_6989]) ).
cnf(c_7647,plain,
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7644,c_3893]) ).
cnf(c_7657,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2) ),
inference(resolution,[status(thm)],[c_7572,c_77]) ).
cnf(c_7660,plain,
( ~ ssPv3(skf3(X0))
| ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_7657,c_49,c_1523,c_1589,c_1972,c_2142,c_2298,c_2297,c_3039,c_3359,c_4925,c_4990,c_5793,c_5896,c_6142,c_6455,c_6556,c_6662,c_6661,c_6707,c_7083,c_7572]) ).
cnf(c_7661,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(renaming,[status(thm)],[c_7660]) ).
cnf(c_7684,plain,
( ~ ssRr(skf3(X0),X2)
| ~ ssRr(skf3(X0),X1)
| ssPv3(skf3(X0))
| ssPv4(X1)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_3960,c_2298,c_2699,c_3359,c_3974,c_4925,c_4990,c_5357,c_6185,c_6455,c_6662,c_6963]) ).
cnf(c_7685,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssRr(skf3(X0),X2)
| ssPv3(skf3(X0))
| ssPv4(X1)
| ssPv2(X2) ),
inference(renaming,[status(thm)],[c_7684]) ).
cnf(c_7687,plain,
( ~ ssRr(skf3(X0),X1)
| ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_7685]) ).
cnf(c_7693,plain,
( ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[c_7661,c_49]) ).
cnf(c_7834,plain,
( ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_7687]) ).
cnf(c_7843,plain,
( ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7834,c_2298,c_3359,c_4925,c_4990,c_6455,c_6662,c_6963,c_7834]) ).
cnf(c_7850,plain,
( ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_7843,c_5151]) ).
cnf(c_8121,plain,
( ~ ssPv2(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2251,c_2251,c_6903,c_7843]) ).
cnf(c_8122,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_8121]) ).
cnf(c_8123,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ssPv2(skf3(X0)) ),
inference(superposition,[status(thm)],[c_49,c_8122]) ).
cnf(c_8124,plain,
( ~ ssPv2(skf2(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_50,c_8122]) ).
cnf(c_8149,plain,
( ~ ssRr(skf3(X0),X0)
| ~ ssRr(X0,skf2(X0))
| ~ ssPv1(skf2(X0))
| ssPv4(skf3(X0))
| ssPv4(skf2(X0))
| ssPv2(X0) ),
inference(instantiation,[status(thm)],[c_4807]) ).
cnf(c_8205,plain,
( ~ ssRr(skf3(X0),skf3(X1))
| ~ ssRr(skf3(X1),X2)
| ~ ssPv3(skf3(X1))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6923,c_6424]) ).
cnf(c_8206,plain,
( ~ ssRr(skf3(X0),skf3(X1))
| ~ ssRr(skf3(X1),X2)
| ~ ssPv3(skf3(X1))
| ~ ssPv1(skf3(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6923,c_2142]) ).
cnf(c_8208,plain,
( ~ ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8206,c_50,c_49,c_1523,c_1751,c_2972,c_2983,c_3038,c_3967,c_3974,c_4011,c_4824,c_5028,c_5793,c_6962,c_8123,c_8149]) ).
cnf(c_8209,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X0) ),
inference(renaming,[status(thm)],[c_8208]) ).
cnf(c_8211,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8205,c_2298,c_4043,c_6440,c_6455,c_6669,c_8124,c_8123,c_8209]) ).
cnf(c_8217,plain,
( ~ ssRr(skf3(skf3(X0)),skf3(X1))
| ~ ssRr(skf3(X1),X2)
| ~ ssPv3(skf3(X1))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X2) ),
inference(resolution,[status(thm)],[c_6923,c_4240]) ).
cnf(c_8219,plain,
( ~ ssPv1(X0)
| ~ ssPv1(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8217,c_50,c_49,c_1523,c_1751,c_2298,c_2972,c_2983,c_3038,c_3359,c_3967,c_3974,c_4011,c_4824,c_4925,c_5028,c_5793,c_6455,c_6662,c_6962,c_8123,c_8149]) ).
cnf(c_8220,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0) ),
inference(renaming,[status(thm)],[c_8219]) ).
cnf(c_8235,plain,
( ~ ssRr(skf2(X0),skf3(X1))
| ~ ssRr(skf2(X0),X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[c_8209,c_4225]) ).
cnf(c_8238,plain,
( ~ ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8235,c_50,c_49,c_1523,c_1751,c_2972,c_2983,c_3038,c_3682,c_3967,c_3974,c_4011,c_4061,c_4824,c_5028,c_5793,c_6962,c_7251,c_7644,c_7850,c_8123,c_8149]) ).
cnf(c_8294,plain,
( ~ ssRr(skf3(X0),skf3(X1))
| ~ ssRr(skf3(X0),X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[c_8211,c_4225]) ).
cnf(c_8297,plain,
( ~ ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8294,c_50,c_49,c_2298,c_3039,c_3068,c_4555,c_8124,c_8211,c_8238]) ).
cnf(c_8368,plain,
( ~ ssPv3(skf2(skf3(skf3(X0))))
| ~ ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c_8297,c_6597]) ).
cnf(c_8369,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8368,c_50,c_49,c_2983,c_3038,c_7693,c_8123,c_8220,c_8238]) ).
cnf(c_8379,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[c_8369,c_6911]) ).
cnf(c_8384,plain,
( ~ ssPv2(X1)
| ~ ssPv3(X0)
| ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8379,c_2319,c_4074,c_5368,c_6903,c_7251,c_8124,c_8211,c_8369]) ).
cnf(c_8385,plain,
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X1) ),
inference(renaming,[status(thm)],[c_8384]) ).
cnf(c_8390,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf3(X2))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X1) ),
inference(resolution,[status(thm)],[c_8369,c_80]) ).
cnf(c_8395,plain,
( ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_8390,c_50,c_49,c_80,c_82,c_1523,c_1751,c_2251,c_2972,c_2983,c_3039,c_3038,c_3359,c_3967,c_3974,c_3978,c_4011,c_4824,c_5028,c_5793,c_6903,c_6962,c_6981,c_7843,c_8123,c_8149,c_8211,c_8238]) ).
cnf(c_8396,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv2(X1) ),
inference(renaming,[status(thm)],[c_8395]) ).
cnf(c_8467,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_8385,c_49]) ).
cnf(c_8469,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8467,c_4074,c_8369]) ).
cnf(c_8479,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(X1)
| ssPv1(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[c_8469,c_53]) ).
cnf(c_8485,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_8479,c_2320,c_3893,c_5357,c_8122,c_8369,c_8469]) ).
cnf(c_8578,plain,
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c_8485,c_49]) ).
cnf(c_8580,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[c_8485,c_50]) ).
cnf(c_8626,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssPv3(skf3(X0))
| ~ ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv1(X1) ),
inference(resolution,[status(thm)],[c_8580,c_52]) ).
cnf(c_8628,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv4(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8626,c_1723,c_4922,c_5368,c_6963,c_7251,c_8369,c_8469,c_8580]) ).
cnf(c_8638,plain,
( ~ ssRr(skf2(X0),X1)
| ~ ssRr(X2,skf2(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv4(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[c_8580,c_73]) ).
cnf(c_8639,plain,
( ~ ssPv3(skf3(X0))
| ~ ssPv1(skf2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_8638,c_49,c_1589,c_2366,c_2863,c_3039,c_3103,c_4563,c_5357,c_6797,c_6963,c_7693,c_7843,c_8369,c_8469,c_8578,c_8628]) ).
cnf(c_8647,plain,
( ~ ssRr(X0,skf2(X1))
| ~ ssRr(X2,X0)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X2)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[c_8580,c_60]) ).
cnf(c_8650,plain,
( ssPv3(X0)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8647,c_50,c_49,c_1652,c_1714,c_1718,c_1722,c_2298,c_2421,c_2974,c_3039,c_3068,c_3359,c_3362,c_3482,c_3893,c_3967,c_3974,c_4020,c_4083,c_4108,c_4925,c_4990,c_5357,c_6185,c_6455,c_6662,c_6963,c_8369,c_8639]) ).
cnf(c_8706,plain,
( ~ ssRr(X0,skf2(X1))
| ~ ssRr(X0,X2)
| ~ ssPv3(skf3(X1))
| ~ ssPv1(X2)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[c_8628,c_64]) ).
cnf(c_8708,plain,
( ssPv1(X0)
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8706,c_49,c_1589,c_2366,c_2863,c_3039,c_3103,c_4563,c_5357,c_6742,c_6797,c_7843,c_8578,c_8628]) ).
cnf(c_8711,plain,
ssPv4(X0),
inference(global_subsumption_just,[status(thm)],[c_8708,c_3978,c_4731,c_6981,c_8209,c_8220,c_8238,c_8369,c_8708]) ).
cnf(c_8721,plain,
~ ssPv3(skf3(X0)),
inference(resolution,[status(thm)],[c_8711,c_8628]) ).
cnf(c_8730,plain,
( ~ ssPv3(X0)
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[c_8650,c_7251]) ).
cnf(c_8732,plain,
ssPv2(skf2(X0)),
inference(global_subsumption_just,[status(thm)],[c_8730,c_2298,c_3039,c_3359,c_3584,c_3982,c_4035,c_4043,c_4824,c_4925,c_4990,c_6455,c_6662,c_6963,c_7647,c_7834,c_8721,c_8730]) ).
cnf(c_8740,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X0)
| ~ ssPv4(X0)
| ~ ssPv4(X2)
| ~ ssPv2(X3) ),
inference(resolution,[status(thm)],[c_8721,c_96]) ).
cnf(c_8742,plain,
( ~ ssRr(X3,X0)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,skf3(X1))
| ~ ssPv4(X2)
| ~ ssPv2(X3) ),
inference(global_subsumption_just,[status(thm)],[c_8740,c_8711,c_8740]) ).
cnf(c_8743,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X0)
| ~ ssPv4(X2)
| ~ ssPv2(X3) ),
inference(renaming,[status(thm)],[c_8742]) ).
cnf(c_8780,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv2(X1) ),
inference(factoring,[status(thm)],[c_8396]) ).
cnf(c_8781,plain,
~ ssPv3(X0),
inference(global_subsumption_just,[status(thm)],[c_8780,c_50,c_49,c_2298,c_2983,c_3122,c_3359,c_3762,c_3974,c_4035,c_4061,c_4083,c_4925,c_4990,c_6455,c_6662,c_6963,c_7834,c_8721,c_8732]) ).
cnf(c_8787,plain,
ssPv2(X0),
inference(resolution,[status(thm)],[c_8781,c_8650]) ).
cnf(c_8868,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8743,c_8787,c_8711]) ).
cnf(c_8876,plain,
( ~ ssRr(X0,skf3(X1))
| ~ ssRr(X2,X0) ),
inference(factoring,[status(thm)],[c_8868]) ).
cnf(c_8881,plain,
~ ssRr(X0,skf3(X1)),
inference(resolution,[status(thm)],[c_8876,c_49]) ).
cnf(c_8885,plain,
$false,
inference(resolution,[status(thm)],[c_8881,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:19:57 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.39/1.19 % SZS status Started for theBenchmark.p
% 3.39/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.19
% 3.39/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.39/1.19
% 3.39/1.19 ------ iProver source info
% 3.39/1.19
% 3.39/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.39/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.39/1.19 git: non_committed_changes: false
% 3.39/1.19
% 3.39/1.19 ------ Parsing...successful
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.39/1.19
% 3.39/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.39/1.19 ------ Proving...
% 3.39/1.19 ------ Problem Properties
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 clauses 50
% 3.39/1.19 conjectures 50
% 3.39/1.19 EPR 48
% 3.39/1.19 Horn 19
% 3.39/1.19 unary 2
% 3.39/1.19 binary 0
% 3.39/1.19 lits 301
% 3.39/1.19 lits eq 0
% 3.39/1.19 fd_pure 0
% 3.39/1.19 fd_pseudo 0
% 3.39/1.19 fd_cond 0
% 3.39/1.19 fd_pseudo_cond 0
% 3.39/1.19 AC symbols 0
% 3.39/1.19
% 3.39/1.19 ------ Input Options Time Limit: Unbounded
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 ------
% 3.39/1.19 Current options:
% 3.39/1.19 ------
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 ------ Proving...
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.19
% 3.39/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.19
% 3.39/1.19
%------------------------------------------------------------------------------