TSTP Solution File: SYN755-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 Sep 1 03:09:45 EDT 2023
% Result : Unsatisfiable 3.13s 1.14s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 36
% Syntax : Number of clauses : 237 ( 6 unt; 136 nHn; 215 RR)
% Number of literals : 1014 ( 0 equ; 587 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 462 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssRr(X0,skf1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(c_50,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(c_51,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ssPv3(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(c_53,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ssPv1(X0)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(c_54,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(c_55,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(c_56,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv1(X2)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(c_57,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X2)
| ssPv4(X0)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(c_58,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv2(X2)
| ssPv3(X0)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(c_59,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv3(X2)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(c_60,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(c_63,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
cnf(c_64,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
cnf(c_65,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ssPv2(X2)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(c_67,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ssPv2(X2)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(c_69,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
cnf(c_70,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(c_72,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(c_73,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(c_75,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(c_76,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
cnf(c_77,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv1(X0)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(c_79,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssPv4(X0)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(c_81,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(c_82,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(c_83,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(c_84,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(c_85,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ssPv1(X3)
| ssPv3(X2)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(c_86,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ssPv1(X3)
| ssPv2(X2)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(c_89,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv2(X3)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(c_90,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ssPv2(X3)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(c_92,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv3(X3)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(c_95,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(c_96,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv3(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(c_98,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(c_99,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X3)
| ~ ssPv2(X2)
| ~ ssPv3(X0)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(c_124,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_53,c_72,c_84,c_81]) ).
cnf(c_125,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_124]) ).
cnf(c_223,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_125]) ).
cnf(c_224,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_125]) ).
cnf(c_312,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_72]) ).
cnf(c_1260,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1272,plain,
( ~ ssRr(X0,skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(instantiation,[status(thm)],[c_1260]) ).
cnf(c_1309,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv1(X2)
| ssPv3(X1)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_1373,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X1)
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_1309]) ).
cnf(c_1375,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(instantiation,[status(thm)],[c_1373]) ).
cnf(c_1394,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_1397,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_1415,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(instantiation,[status(thm)],[c_1397]) ).
cnf(c_2100,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_2114,plain,
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_2125,plain,
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_2152,plain,
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_2360,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_2561,plain,
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
cnf(c_2763,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_125]) ).
cnf(c_2838,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_312]) ).
cnf(c_2940,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_3045,plain,
( ~ ssRr(X0,X1)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_56]) ).
cnf(c_3064,plain,
( ~ ssRr(X0,X1)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_56]) ).
cnf(c_3082,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_3245,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_3263,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_3311,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv3(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_3330,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv3(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_3385,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_49,c_63]) ).
cnf(c_3462,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
cnf(c_3480,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
cnf(c_3690,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
cnf(c_3828,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_67]) ).
cnf(c_3846,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_67]) ).
cnf(c_4070,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_223,c_49,c_224,c_223,c_1272,c_2114,c_2763]) ).
cnf(c_4071,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_4070]) ).
cnf(c_4081,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_4071]) ).
cnf(c_4092,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_4071]) ).
cnf(c_4097,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_223,c_49,c_224,c_223,c_1272,c_2114,c_2763]) ).
cnf(c_4098,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_4097]) ).
cnf(c_4119,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_4098]) ).
cnf(c_4241,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_69,c_4081]) ).
cnf(c_4242,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv4(X2) ),
inference(renaming,[status(thm)],[c_4241]) ).
cnf(c_4253,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_4242]) ).
cnf(c_4259,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_4242]) ).
cnf(c_4260,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv4(X2) ),
inference(renaming,[status(thm)],[c_4259]) ).
cnf(c_4271,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_4260]) ).
cnf(c_4375,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_49,c_70,c_224,c_223,c_1272,c_2114,c_2763]) ).
cnf(c_4376,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X2) ),
inference(renaming,[status(thm)],[c_4375]) ).
cnf(c_4388,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_4376]) ).
cnf(c_4394,plain,
( ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X2) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_49,c_70,c_224,c_223,c_1272,c_2114,c_2763]) ).
cnf(c_4395,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X2) ),
inference(renaming,[status(thm)],[c_4394]) ).
cnf(c_4406,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_4395]) ).
cnf(c_4787,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_4806,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0)
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_4892,plain,
( ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(superposition,[status(thm)],[c_49,c_4092]) ).
cnf(c_4898,plain,
( ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4119,c_4892]) ).
cnf(c_5008,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_77]) ).
cnf(c_5104,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_77]) ).
cnf(c_5114,plain,
( ~ ssRr(X0,skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_5136,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_81]) ).
cnf(c_5154,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(superposition,[status(thm)],[c_49,c_79]) ).
cnf(c_5214,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
cnf(c_5250,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
cnf(c_5269,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
cnf(c_5289,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv1(X2)
| ssPv3(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_85]) ).
cnf(c_5309,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
cnf(c_5329,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv1(X2)
| ssPv2(X1)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_86]) ).
cnf(c_5350,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv1(X2)
| ssPv3(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_85]) ).
cnf(c_5459,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(X1)
| ssPv2(X2)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_89]) ).
cnf(c_5584,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv2(X2)
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_49,c_90]) ).
cnf(c_5841,plain,
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_2838]) ).
cnf(c_5855,plain,
( ~ ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2152,c_5841]) ).
cnf(c_6014,plain,
( ~ ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_4271]) ).
cnf(c_6019,plain,
( ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv4(X3) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_95,c_4071]) ).
cnf(c_6020,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv4(X3) ),
inference(renaming,[status(thm)],[c_6019]) ).
cnf(c_6034,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_6020]) ).
cnf(c_6041,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(X1)
| ssPv4(X2) ),
inference(superposition,[status(thm)],[c_49,c_6020]) ).
cnf(c_6054,plain,
( ~ ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_6034]) ).
cnf(c_6055,negated_conjecture,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(renaming,[status(thm)],[c_6054]) ).
cnf(c_6068,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_6055]) ).
cnf(c_6111,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(superposition,[status(thm)],[c_49,c_96]) ).
cnf(c_6316,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(superposition,[status(thm)],[c_49,c_98]) ).
cnf(c_6759,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X3)
| ~ ssPv2(X2)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99,c_6055]) ).
cnf(c_6766,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ~ ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_6759]) ).
cnf(c_6824,plain,
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3045]) ).
cnf(c_6901,plain,
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_6824,c_2114]) ).
cnf(c_6917,plain,
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_4406]) ).
cnf(c_7097,plain,
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3064]) ).
cnf(c_7138,plain,
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7097,c_2125]) ).
cnf(c_7170,plain,
( ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3245]) ).
cnf(c_7274,plain,
( ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_3311]) ).
cnf(c_7296,plain,
( ~ ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7274,c_5855,c_7274]) ).
cnf(c_7306,plain,
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_6824,c_7296]) ).
cnf(c_7327,plain,
( ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3263]) ).
cnf(c_7374,plain,
( ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3330,c_7296]) ).
cnf(c_7375,plain,
( ~ ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(renaming,[status(thm)],[c_7374]) ).
cnf(c_7422,plain,
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3385,c_2763,c_3385,c_6014]) ).
cnf(c_7423,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_7422]) ).
cnf(c_7433,plain,
( ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_7423]) ).
cnf(c_7515,plain,
( ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_49,c_3462]) ).
cnf(c_7743,plain,
( ssPv4(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7306,c_49,c_1375,c_5855,c_7170,c_7274,c_7306]) ).
cnf(c_7752,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_7743,c_2360]) ).
cnf(c_8204,plain,
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7752,c_49,c_1375,c_5855,c_7170,c_7274]) ).
cnf(c_8213,plain,
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7170,c_8204]) ).
cnf(c_8219,plain,
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3480,c_4892,c_7515]) ).
cnf(c_8220,plain,
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(renaming,[status(thm)],[c_8219]) ).
cnf(c_8234,plain,
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7515,c_8220]) ).
cnf(c_8254,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_3690]) ).
cnf(c_8384,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3828]) ).
cnf(c_8413,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_3846]) ).
cnf(c_8619,plain,
( ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_4787,c_49,c_1415,c_2360,c_2940,c_4892,c_7433,c_8213]) ).
cnf(c_8620,plain,
( ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_8619]) ).
cnf(c_8758,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5008,c_49,c_1394,c_4892,c_6901,c_8213]) ).
cnf(c_8769,plain,
( ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_8758]) ).
cnf(c_8858,plain,
( ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv2(skf1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_4806,c_8620]) ).
cnf(c_8859,plain,
( ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(renaming,[status(thm)],[c_8858]) ).
cnf(c_8866,plain,
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7327,c_8859]) ).
cnf(c_8884,plain,
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7170,c_8769]) ).
cnf(c_9292,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5104,c_8758]) ).
cnf(c_9302,plain,
( ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_9292]) ).
cnf(c_9421,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8884,c_4892,c_8884]) ).
cnf(c_9430,plain,
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_9421]) ).
cnf(c_9431,plain,
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6901,c_9421]) ).
cnf(c_9452,plain,
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_7327,c_9302]) ).
cnf(c_9469,plain,
( ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8213,c_49,c_1375,c_2561,c_5855,c_7170,c_7274,c_8884]) ).
cnf(c_9470,plain,
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(renaming,[status(thm)],[c_9469]) ).
cnf(c_9490,plain,
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_9430]) ).
cnf(c_9513,plain,
( ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_5136]) ).
cnf(c_9519,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9513,c_5855,c_9513]) ).
cnf(c_9520,plain,
( ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(renaming,[status(thm)],[c_9519]) ).
cnf(c_9555,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_5214]) ).
cnf(c_9576,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9555,c_7296,c_9555]) ).
cnf(c_9577,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(renaming,[status(thm)],[c_9576]) ).
cnf(c_10026,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_5269]) ).
cnf(c_10153,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_5289]) ).
cnf(c_10160,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_10026,c_7296,c_9555]) ).
cnf(c_10161,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(renaming,[status(thm)],[c_10160]) ).
cnf(c_10231,plain,
( ~ ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_10153]) ).
cnf(c_10237,plain,
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9452,c_9421]) ).
cnf(c_10246,plain,
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7138,c_10237]) ).
cnf(c_10442,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_6041]) ).
cnf(c_10466,plain,
( ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_10442]) ).
cnf(c_10492,plain,
( ~ ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5309,c_55,c_2561,c_5250,c_8620,c_9520,c_10466]) ).
cnf(c_10493,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(renaming,[status(thm)],[c_10492]) ).
cnf(c_10503,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5154,c_10493]) ).
cnf(c_10591,plain,
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ssPv4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_6068,c_4253,c_6068,c_9470,c_10442]) ).
cnf(c_10592,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv4(X1) ),
inference(renaming,[status(thm)],[c_10591]) ).
cnf(c_10602,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_10592]) ).
cnf(c_10827,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5329,c_49,c_82,c_81,c_2100,c_5329,c_8769,c_9520,c_9577,c_10231,c_10592,c_10602]) ).
cnf(c_10838,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_10827]) ).
cnf(c_10997,plain,
( ~ ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_10838]) ).
cnf(c_11009,plain,
( ~ ssPv2(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_10602]) ).
cnf(c_11106,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8384,c_10997]) ).
cnf(c_11148,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_5459]) ).
cnf(c_11154,plain,
( ssPv2(X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_11148,c_4388,c_10503,c_11148]) ).
cnf(c_11155,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X1) ),
inference(renaming,[status(thm)],[c_11154]) ).
cnf(c_11237,plain,
( ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv2(X1) ),
inference(superposition,[status(thm)],[c_49,c_5584]) ).
cnf(c_11388,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2940,c_11106]) ).
cnf(c_11407,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X1)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_49,c_5350]) ).
cnf(c_11497,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_11237]) ).
cnf(c_11511,plain,
( ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_9431,c_11497]) ).
cnf(c_11677,plain,
( ~ ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8866,c_4892,c_8620,c_11511]) ).
cnf(c_11686,plain,
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_10246,c_11677]) ).
cnf(c_12357,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X1)
| ~ ssPv3(X0) ),
inference(superposition,[status(thm)],[c_49,c_6766]) ).
cnf(c_12633,plain,
( ~ ssPv1(X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_12357,c_10997,c_12357]) ).
cnf(c_12634,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X1) ),
inference(renaming,[status(thm)],[c_12633]) ).
cnf(c_12643,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11407,c_12634]) ).
cnf(c_12659,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_12634]) ).
cnf(c_12668,plain,
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8413,c_12659]) ).
cnf(c_12775,plain,
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6111,c_49,c_63,c_79,c_2100,c_4892,c_6766,c_8254,c_8758,c_12643]) ).
cnf(c_12776,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(renaming,[status(thm)],[c_12775]) ).
cnf(c_12795,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv3(X1) ),
inference(superposition,[status(thm)],[c_49,c_12776]) ).
cnf(c_12801,plain,
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(global_subsumption_just,[status(thm)],[c_12795,c_11009,c_12795]) ).
cnf(c_12802,plain,
( ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ssPv3(X1) ),
inference(renaming,[status(thm)],[c_12801]) ).
cnf(c_12809,plain,
( ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_12802]) ).
cnf(c_12817,plain,
( ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11497,c_12809]) ).
cnf(c_12833,plain,
( ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_9431,c_12817]) ).
cnf(c_12846,plain,
( ssPv1(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12833,c_4892,c_9490,c_11686]) ).
cnf(c_12857,plain,
( ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(superposition,[status(thm)],[c_12846,c_8234]) ).
cnf(c_12878,plain,
( ssPv1(X0)
| ssPv2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12857,c_4892,c_12857]) ).
cnf(c_12891,plain,
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(superposition,[status(thm)],[c_12878,c_11388]) ).
cnf(c_12892,plain,
( ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_12878,c_11106]) ).
cnf(c_12894,plain,
( ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(superposition,[status(thm)],[c_12878,c_7296]) ).
cnf(c_12911,plain,
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(skf1(X0))
| ssPv4(X2) ),
inference(global_subsumption_just,[status(thm)],[c_6316,c_49,c_3082,c_4388,c_4892,c_5114,c_6041,c_8254,c_11155,c_12892,c_12891]) ).
cnf(c_12922,plain,
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv4(X1) ),
inference(superposition,[status(thm)],[c_49,c_12911]) ).
cnf(c_12935,plain,
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(superposition,[status(thm)],[c_49,c_12922]) ).
cnf(c_12943,plain,
( ~ ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9520,c_12935]) ).
cnf(c_13076,plain,
( ~ ssPv2(X0)
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12668,c_49,c_1375,c_2561,c_5855,c_7170,c_7274,c_8884,c_12943]) ).
cnf(c_13084,plain,
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7097,c_13076]) ).
cnf(c_13112,plain,
( ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13084,c_10997,c_12817,c_12894,c_12943,c_13084]) ).
cnf(c_13120,plain,
( ~ ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10161,c_13112]) ).
cnf(c_13121,plain,
( ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7375,c_13112]) ).
cnf(c_13195,plain,
( ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(superposition,[status(thm)],[c_13121,c_13120]) ).
cnf(c_13199,plain,
ssPv3(X0),
inference(global_subsumption_just,[status(thm)],[c_13195,c_12943,c_13195]) ).
cnf(c_13204,plain,
( ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6917,c_13199]) ).
cnf(c_13212,plain,
ssPv1(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_4898,c_13199]) ).
cnf(c_13271,plain,
~ ssPv2(skf1(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_12659,c_13212]) ).
cnf(c_13275,plain,
ssPv2(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_13204,c_13271]) ).
cnf(c_13276,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_13271,c_13275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 19:37:55 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.13/1.14 % SZS status Started for theBenchmark.p
% 3.13/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.14
% 3.13/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.13/1.14
% 3.13/1.14 ------ iProver source info
% 3.13/1.14
% 3.13/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.13/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.13/1.14 git: non_committed_changes: false
% 3.13/1.14 git: last_make_outside_of_git: false
% 3.13/1.14
% 3.13/1.14 ------ Parsing...successful
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.13/1.14
% 3.13/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.13/1.14 ------ Proving...
% 3.13/1.14 ------ Problem Properties
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14 clauses 47
% 3.13/1.14 conjectures 44
% 3.13/1.14 EPR 46
% 3.13/1.14 Horn 17
% 3.13/1.14 unary 1
% 3.13/1.14 binary 0
% 3.13/1.14 lits 278
% 3.13/1.14 lits eq 0
% 3.13/1.14 fd_pure 0
% 3.13/1.14 fd_pseudo 0
% 3.13/1.14 fd_cond 0
% 3.13/1.14 fd_pseudo_cond 0
% 3.13/1.14 AC symbols 0
% 3.13/1.14
% 3.13/1.14 ------ Schedule dynamic 5 is on
% 3.13/1.14
% 3.13/1.14 ------ no equalities: superposition off
% 3.13/1.14
% 3.13/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14 ------
% 3.13/1.14 Current options:
% 3.13/1.14 ------
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14 ------ Proving...
% 3.13/1.14
% 3.13/1.14
% 3.13/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.13/1.14
% 3.13/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.14
% 3.13/1.14
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