TSTP Solution File: SYN067-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 03:28:55 EDT 2024
% Result : Unsatisfiable 2.77s 1.18s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of clauses : 229 ( 2 unt; 168 nHn; 181 RR)
% Number of literals : 942 ( 0 equ; 504 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 268 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( ~ big_p(a)
| big_p(f2(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_50,negated_conjecture,
( ~ big_p(a)
| big_r(X0,f3(X0))
| big_p(f2(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(c_51,negated_conjecture,
( ~ big_p(a)
| big_r(f3(X0),f4(X0))
| big_p(f2(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c_54,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X0),f6(X0))
| big_p(f2(X2))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(c_55,negated_conjecture,
( ~ big_p(a)
| big_r(X0,f1(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(c_56,negated_conjecture,
( ~ big_p(a)
| big_r(X0,f1(X0))
| big_r(X1,f3(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(c_57,negated_conjecture,
( ~ big_p(a)
| big_r(f3(X0),f4(X0))
| big_r(X1,f1(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(c_60,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X0),f6(X0))
| big_r(X2,f1(X2))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(c_61,negated_conjecture,
( ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(c_62,negated_conjecture,
( ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_r(X1,f3(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(c_63,negated_conjecture,
( ~ big_p(a)
| big_r(f3(X0),f4(X0))
| big_r(f1(X1),f2(X1))
| big_p(X0)
| big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(c_66,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X0),f6(X0))
| big_r(f1(X2),f2(X2))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
cnf(c_70,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_p(f2(X0))
| big_p(f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(c_71,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X2,f5(X2))
| big_p(f2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(c_72,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(f5(X2),f6(X2))
| big_p(f2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(c_76,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X0,f1(X0))
| big_p(f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
cnf(c_77,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X0,f1(X0))
| big_r(X2,f5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
cnf(c_78,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(f5(X2),f6(X2))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
cnf(c_79,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_p(f4(X2))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
cnf(c_80,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_r(X2,f3(X2))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(c_81,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_r(f1(X0),f2(X0))
| big_p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
cnf(c_82,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_p(f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
cnf(c_83,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_r(X2,f5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
cnf(c_84,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(f5(X2),f6(X2))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).
cnf(c_85,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_37) ).
cnf(c_102,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_p(c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54) ).
cnf(c_103,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55) ).
cnf(c_108,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_r(c4,X0)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(c2)
| big_p(c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_60) ).
cnf(c_114,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c2,c1)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_66) ).
cnf(c_115,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_r(c2,c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_67) ).
cnf(c_120,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_r(c4,X0)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(c2)
| big_r(c2,c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_72) ).
cnf(c_126,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c2,X0)
| ~ big_p(X1)
| ~ big_p(c4)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_78) ).
cnf(c_127,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c2,X0)
| ~ big_p(X1)
| ~ big_p(c4)
| big_r(c4,c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_79) ).
cnf(c_132,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_r(X4,X5)
| ~ big_r(c4,X0)
| ~ big_r(c4,X2)
| ~ big_r(c2,X4)
| ~ big_p(X1)
| ~ big_p(X3)
| ~ big_p(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).
cnf(c_188,negated_conjecture,
( big_p(f2(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_85,c_49]) ).
cnf(c_190,negated_conjecture,
( big_r(X0,f1(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_85,c_55]) ).
cnf(c_192,negated_conjecture,
( big_r(X0,f3(X0))
| big_p(f2(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_85,c_50]) ).
cnf(c_198,negated_conjecture,
( big_r(f1(X0),f2(X0))
| big_p(f4(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_85,c_61]) ).
cnf(c_200,negated_conjecture,
( big_r(X0,f1(X0))
| big_r(X1,f3(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_85,c_56]) ).
cnf(c_202,negated_conjecture,
( big_r(f3(X0),f4(X0))
| big_p(f2(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_85,c_51]) ).
cnf(c_212,negated_conjecture,
( big_r(f1(X0),f2(X0))
| big_r(X1,f3(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_85,c_62]) ).
cnf(c_214,negated_conjecture,
( big_r(f3(X0),f4(X0))
| big_r(X1,f1(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_85,c_57]) ).
cnf(c_216,negated_conjecture,
( big_r(f3(X0),f4(X0))
| big_r(f1(X1),f2(X1))
| big_p(X0)
| big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_85,c_63]) ).
cnf(c_238,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| big_p(f4(X2))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_85,c_79]) ).
cnf(c_239,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f1(X0),f2(X0))
| big_p(f4(X2))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_238]) ).
cnf(c_248,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f5(X0),f6(X0))
| big_p(f2(X2))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_85,c_54]) ).
cnf(c_249,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f5(X0),f6(X0))
| big_p(f2(X2))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_248]) ).
cnf(c_250,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| big_r(X2,f3(X2))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_85,c_80]) ).
cnf(c_251,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f1(X0),f2(X0))
| big_r(X2,f3(X2))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_250]) ).
cnf(c_256,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f5(X0),f6(X0))
| big_r(X2,f1(X2))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_85,c_60]) ).
cnf(c_257,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f5(X0),f6(X0))
| big_r(X2,f1(X2))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_256]) ).
cnf(c_258,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f3(X2),f4(X2))
| big_r(f1(X0),f2(X0))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_81,c_85,c_81]) ).
cnf(c_259,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f3(X2),f4(X2))
| big_r(f1(X0),f2(X0))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_258]) ).
cnf(c_260,plain,
( ~ big_p(X1)
| ~ big_r(X0,X1)
| big_r(f5(X0),f6(X0))
| big_r(f1(X2),f2(X2))
| big_p(X2) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_85,c_66]) ).
cnf(c_261,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_r(f5(X0),f6(X0))
| big_r(f1(X2),f2(X2))
| big_p(X2) ),
inference(renaming,[status(thm)],[c_260]) ).
cnf(c_262,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_p(f2(X0))
| big_p(f6(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_85,c_70]) ).
cnf(c_263,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_p(f2(X0))
| big_p(f6(X2)) ),
inference(renaming,[status(thm)],[c_262]) ).
cnf(c_270,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(X0,f1(X0))
| big_p(f6(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_85,c_76]) ).
cnf(c_271,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X0,f1(X0))
| big_p(f6(X2)) ),
inference(renaming,[status(thm)],[c_270]) ).
cnf(c_272,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(X2,f5(X2))
| big_p(f2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_85,c_71]) ).
cnf(c_273,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X2,f5(X2))
| big_p(f2(X0)) ),
inference(renaming,[status(thm)],[c_272]) ).
cnf(c_274,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| big_p(f6(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_85,c_82]) ).
cnf(c_275,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f1(X0),f2(X0))
| big_p(f6(X2)) ),
inference(renaming,[status(thm)],[c_274]) ).
cnf(c_276,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(X0,f1(X0))
| big_r(X2,f5(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_77,c_85,c_77]) ).
cnf(c_277,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X0,f1(X0))
| big_r(X2,f5(X2)) ),
inference(renaming,[status(thm)],[c_276]) ).
cnf(c_278,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(f5(X2),f6(X2))
| big_p(f2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_85,c_72]) ).
cnf(c_279,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f5(X2),f6(X2))
| big_p(f2(X0)) ),
inference(renaming,[status(thm)],[c_278]) ).
cnf(c_280,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| big_r(X2,f5(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_85,c_83]) ).
cnf(c_281,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f1(X0),f2(X0))
| big_r(X2,f5(X2)) ),
inference(renaming,[status(thm)],[c_280]) ).
cnf(c_282,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(f5(X2),f6(X2))
| big_r(X0,f1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_85,c_78]) ).
cnf(c_283,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f5(X2),f6(X2))
| big_r(X0,f1(X0)) ),
inference(renaming,[status(thm)],[c_282]) ).
cnf(c_284,plain,
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1)
| big_r(f5(X2),f6(X2))
| big_r(f1(X0),f2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_85,c_84]) ).
cnf(c_285,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f5(X2),f6(X2))
| big_r(f1(X0),f2(X0)) ),
inference(renaming,[status(thm)],[c_284]) ).
cnf(c_1442,negated_conjecture,
( ~ big_r(X0,X1)
| big_r(f5(X0),f6(X0))
| ~ big_p(X1)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_285]) ).
cnf(c_1443,negated_conjecture,
( ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| ~ big_p(X1)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_285]) ).
cnf(c_1444,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_285]) ).
cnf(c_1445,negated_conjecture,
( ~ big_r(X0,X1)
| big_r(X0,f1(X0))
| ~ big_p(X1)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_283]) ).
cnf(c_1446,negated_conjecture,
( sP0_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_283]) ).
cnf(c_1447,negated_conjecture,
( ~ big_r(X0,X1)
| big_r(X0,f5(X0))
| ~ big_p(X1)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_281]) ).
cnf(c_1448,negated_conjecture,
( sP1_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_281]) ).
cnf(c_1449,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_p(f2(X0))
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_279]) ).
cnf(c_1450,negated_conjecture,
( sP0_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_279]) ).
cnf(c_1451,negated_conjecture,
( sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_277]) ).
cnf(c_1452,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_p(f6(X0))
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_275]) ).
cnf(c_1453,negated_conjecture,
( sP1_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_275]) ).
cnf(c_1454,negated_conjecture,
( sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_273]) ).
cnf(c_1455,negated_conjecture,
( sP2_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_271]) ).
cnf(c_1456,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_263]) ).
cnf(c_1457,negated_conjecture,
( big_r(f1(X0),f2(X0))
| big_p(X0)
| ~ sP6_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_261]) ).
cnf(c_1459,negated_conjecture,
( big_r(f3(X0),f4(X0))
| big_p(X0)
| ~ sP7_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_259]) ).
cnf(c_1461,negated_conjecture,
( big_r(X0,f1(X0))
| big_p(X0)
| ~ sP8_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_257]) ).
cnf(c_1465,negated_conjecture,
( big_r(X0,f3(X0))
| big_p(X0)
| ~ sP9_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_251]) ).
cnf(c_1467,negated_conjecture,
( big_p(X0)
| big_p(f2(X0))
| ~ sP10_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_249]) ).
cnf(c_1473,negated_conjecture,
( big_p(X0)
| big_p(f4(X0))
| ~ sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_239]) ).
cnf(c_1481,negated_conjecture,
( sP6_iProver_def
| sP7_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_216]) ).
cnf(c_1482,negated_conjecture,
( sP7_iProver_def
| sP8_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_214]) ).
cnf(c_1483,negated_conjecture,
( sP6_iProver_def
| sP9_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_212]) ).
cnf(c_1484,negated_conjecture,
( sP7_iProver_def
| sP10_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_202]) ).
cnf(c_1485,negated_conjecture,
( sP8_iProver_def
| sP9_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_200]) ).
cnf(c_1486,negated_conjecture,
( sP6_iProver_def
| sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_198]) ).
cnf(c_1487,negated_conjecture,
( sP9_iProver_def
| sP10_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_192]) ).
cnf(c_1488,negated_conjecture,
( sP8_iProver_def
| sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_190]) ).
cnf(c_1489,negated_conjecture,
( sP10_iProver_def
| sP11_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_188]) ).
cnf(c_1490,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c2,X0)
| ~ big_p(X1)
| ~ sP12_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_132]) ).
cnf(c_1491,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c4,X0)
| ~ big_p(X1)
| ~ sP13_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_132]) ).
cnf(c_1492,negated_conjecture,
( sP12_iProver_def
| sP13_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_1496,negated_conjecture,
( ~ big_p(c4)
| big_r(c4,c3)
| sP12_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_127]) ).
cnf(c_1497,negated_conjecture,
( ~ big_p(c4)
| big_p(c3)
| sP12_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
cnf(c_1498,negated_conjecture,
( ~ big_p(c2)
| big_r(c2,c1)
| sP13_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_120]) ).
cnf(c_1502,negated_conjecture,
( ~ big_p(c2)
| big_p(c1)
| sP13_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_108]) ).
cnf(c_1506,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_1444]) ).
cnf(c_1509,negated_conjecture,
( sP0_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_1446]) ).
cnf(c_1512,negated_conjecture,
( sP1_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_1448]) ).
cnf(c_1515,negated_conjecture,
( sP0_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_1450]) ).
cnf(c_1518,negated_conjecture,
( sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_1451]) ).
cnf(c_1521,negated_conjecture,
( sP1_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_1453]) ).
cnf(c_1524,negated_conjecture,
( sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_1454]) ).
cnf(c_1527,negated_conjecture,
( sP2_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_1455]) ).
cnf(c_1530,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_1456]) ).
cnf(c_1552,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP0_iProver_def
| big_r(f5(X0),f6(X0)) ),
inference(demodulation,[status(thm)],[c_1442]) ).
cnf(c_1567,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP1_iProver_def
| big_r(f1(X0),f2(X0)) ),
inference(demodulation,[status(thm)],[c_1443]) ).
cnf(c_1570,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP3_iProver_def
| big_r(X0,f5(X0)) ),
inference(demodulation,[status(thm)],[c_1447]) ).
cnf(c_1579,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP2_iProver_def
| big_r(X0,f1(X0)) ),
inference(demodulation,[status(thm)],[c_1445]) ).
cnf(c_1582,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP5_iProver_def
| big_p(f6(X0)) ),
inference(demodulation,[status(thm)],[c_1452]) ).
cnf(c_1585,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ sP4_iProver_def
| big_p(f2(X0)) ),
inference(demodulation,[status(thm)],[c_1449]) ).
cnf(c_1587,negated_conjecture,
( sP6_iProver_def
| sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_1481]) ).
cnf(c_1590,negated_conjecture,
( sP7_iProver_def
| sP8_iProver_def ),
inference(demodulation,[status(thm)],[c_1482]) ).
cnf(c_1593,negated_conjecture,
( sP6_iProver_def
| sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_1483]) ).
cnf(c_1596,negated_conjecture,
( sP7_iProver_def
| sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1484]) ).
cnf(c_1597,negated_conjecture,
( ~ sP7_iProver_def
| big_r(f3(X0),f4(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1459]) ).
cnf(c_1599,negated_conjecture,
( sP8_iProver_def
| sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_1485]) ).
cnf(c_1602,negated_conjecture,
( sP6_iProver_def
| sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1486]) ).
cnf(c_1603,negated_conjecture,
( ~ sP6_iProver_def
| big_r(f1(X0),f2(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1457]) ).
cnf(c_1605,negated_conjecture,
( sP9_iProver_def
| sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1487]) ).
cnf(c_1606,negated_conjecture,
( ~ sP9_iProver_def
| big_r(X0,f3(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1465]) ).
cnf(c_1608,negated_conjecture,
( sP8_iProver_def
| sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1488]) ).
cnf(c_1609,negated_conjecture,
( ~ sP8_iProver_def
| big_r(X0,f1(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1461]) ).
cnf(c_1611,negated_conjecture,
( sP10_iProver_def
| sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_1489]) ).
cnf(c_1612,negated_conjecture,
( ~ sP10_iProver_def
| big_p(f2(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1467]) ).
cnf(c_1613,negated_conjecture,
( ~ sP11_iProver_def
| big_p(f4(X0))
| big_p(X0) ),
inference(demodulation,[status(thm)],[c_1473]) ).
cnf(c_1614,negated_conjecture,
( sP12_iProver_def
| sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1492]) ).
cnf(c_1627,negated_conjecture,
( ~ big_p(c4)
| big_r(c4,c3)
| sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1496]) ).
cnf(c_1629,negated_conjecture,
( ~ big_p(c4)
| big_p(c3)
| sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1497]) ).
cnf(c_1630,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c2,X0)
| ~ big_p(X1)
| ~ sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_1490]) ).
cnf(c_1631,negated_conjecture,
( ~ big_p(c2)
| big_r(c2,c1)
| sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1498]) ).
cnf(c_1640,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_r(c2,c1) ),
inference(demodulation,[status(thm)],[c_115]) ).
cnf(c_1641,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c2,c1)
| big_p(c3) ),
inference(demodulation,[status(thm)],[c_114]) ).
cnf(c_1642,negated_conjecture,
( ~ big_p(c2)
| big_p(c1)
| sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1502]) ).
cnf(c_1650,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c4,X0)
| ~ big_p(X1)
| ~ sP13_iProver_def ),
inference(demodulation,[status(thm)],[c_1491]) ).
cnf(c_1651,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1) ),
inference(demodulation,[status(thm)],[c_103]) ).
cnf(c_1662,plain,
( ~ sP10_iProver_def
| big_p(f2(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_1663,plain,
( ~ sP10_iProver_def
| big_p(f2(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1612]) ).
cnf(c_1664,plain,
( ~ sP6_iProver_def
| big_r(f1(c4),f2(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1603]) ).
cnf(c_1665,plain,
( ~ sP6_iProver_def
| big_r(f1(c2),f2(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1603]) ).
cnf(c_1666,plain,
( ~ sP8_iProver_def
| big_r(c4,f1(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_1667,plain,
( ~ sP8_iProver_def
| big_r(c2,f1(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_1680,plain,
( ~ big_r(f1(c2),X0)
| ~ big_r(c2,f1(c2))
| ~ big_p(X0)
| ~ sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1630]) ).
cnf(c_1700,plain,
( ~ sP11_iProver_def
| big_p(f4(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1613]) ).
cnf(c_1701,plain,
( ~ sP11_iProver_def
| big_p(f4(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1613]) ).
cnf(c_1778,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP3_iProver_def
| big_r(c4,f5(c4)) ),
inference(instantiation,[status(thm)],[c_1570]) ).
cnf(c_1779,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP0_iProver_def
| big_r(f5(c4),f6(c4)) ),
inference(instantiation,[status(thm)],[c_1552]) ).
cnf(c_1780,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP5_iProver_def
| big_p(f6(c4)) ),
inference(instantiation,[status(thm)],[c_1582]) ).
cnf(c_1781,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP2_iProver_def
| big_r(c4,f1(c4)) ),
inference(instantiation,[status(thm)],[c_1579]) ).
cnf(c_1782,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP1_iProver_def
| big_r(f1(c4),f2(c4)) ),
inference(instantiation,[status(thm)],[c_1567]) ).
cnf(c_1783,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP4_iProver_def
| big_p(f2(c4)) ),
inference(instantiation,[status(thm)],[c_1585]) ).
cnf(c_1840,plain,
( ~ big_r(f5(c4),X0)
| ~ big_r(c4,f5(c4))
| ~ big_p(X0)
| ~ sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1650]) ).
cnf(c_1854,plain,
( ~ big_r(f1(c4),X0)
| ~ big_r(c4,f1(c4))
| ~ big_p(X0)
| ~ sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1650]) ).
cnf(c_2149,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_1641,c_1552]) ).
cnf(c_2246,plain,
( ~ big_r(f5(c4),f6(c4))
| ~ big_r(c4,f5(c4))
| ~ big_p(f6(c4))
| ~ sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1840]) ).
cnf(c_2381,plain,
( ~ big_r(f1(c4),f2(c4))
| ~ big_r(c4,f1(c4))
| ~ big_p(f2(c4))
| ~ sP13_iProver_def ),
inference(instantiation,[status(thm)],[c_1854]) ).
cnf(c_2396,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP1_iProver_def
| big_r(f1(c2),f2(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1567]) ).
cnf(c_2397,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1552]) ).
cnf(c_2573,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP3_iProver_def
| big_r(c2,f5(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1570]) ).
cnf(c_2574,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP3_iProver_def
| big_r(c2,f5(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_1641,c_1570]) ).
cnf(c_2728,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP3_iProver_def
| big_r(c4,f5(c4))
| sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1627,c_1570]) ).
cnf(c_2830,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP3_iProver_def
| big_r(c2,f5(c2)) ),
inference(instantiation,[status(thm)],[c_1570]) ).
cnf(c_2831,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2)) ),
inference(instantiation,[status(thm)],[c_1552]) ).
cnf(c_2834,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP1_iProver_def
| big_r(f1(c2),f2(c2)) ),
inference(instantiation,[status(thm)],[c_1567]) ).
cnf(c_2845,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP1_iProver_def
| big_r(f1(c2),f2(c2))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1631,c_1567]) ).
cnf(c_2846,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1631,c_1552]) ).
cnf(c_3277,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP2_iProver_def
| big_r(c2,f1(c2))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1631,c_1579]) ).
cnf(c_3278,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP2_iProver_def
| big_r(c2,f1(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1579]) ).
cnf(c_3279,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP2_iProver_def
| big_r(c2,f1(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_1641,c_1579]) ).
cnf(c_3470,plain,
( ~ big_r(c2,f3(X0))
| ~ big_p(f4(X0))
| ~ sP7_iProver_def
| ~ sP12_iProver_def
| big_p(X0) ),
inference(superposition,[status(thm)],[c_1597,c_1630]) ).
cnf(c_3663,plain,
( ~ big_r(c4,f3(X0))
| ~ big_p(f4(X0))
| ~ sP7_iProver_def
| ~ sP13_iProver_def
| big_p(X0) ),
inference(superposition,[status(thm)],[c_1597,c_1650]) ).
cnf(c_3993,plain,
( ~ big_r(f5(c2),X0)
| ~ big_r(c2,f5(c2))
| ~ big_p(X0)
| ~ sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1630]) ).
cnf(c_4150,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP5_iProver_def
| big_p(f6(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_1651,c_1582]) ).
cnf(c_4151,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP5_iProver_def
| big_p(f6(c2))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1631,c_1582]) ).
cnf(c_4152,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP5_iProver_def
| big_p(f6(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1582]) ).
cnf(c_4153,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP5_iProver_def
| big_p(f6(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_1641,c_1582]) ).
cnf(c_4419,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP4_iProver_def
| big_p(f2(c2))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1631,c_1585]) ).
cnf(c_4420,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP4_iProver_def
| big_p(f2(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_1640,c_1585]) ).
cnf(c_4421,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP4_iProver_def
| big_p(f2(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_1641,c_1585]) ).
cnf(c_4773,plain,
( ~ big_p(c2)
| ~ sP4_iProver_def
| big_p(f2(c2))
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4419,c_1642,c_4419]) ).
cnf(c_4835,plain,
( ~ big_p(c4)
| big_r(c4,f5(c4))
| sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2728,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381]) ).
cnf(c_4837,plain,
( ~ big_p(c4)
| sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4835,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381]) ).
cnf(c_5019,plain,
( ~ big_p(c2)
| ~ sP2_iProver_def
| big_r(c2,f1(c2))
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3277,c_1642,c_3277]) ).
cnf(c_5267,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2))
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_2149,c_102,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1642,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2149,c_2246,c_2381,c_2397,c_2846]) ).
cnf(c_5268,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ sP0_iProver_def
| big_r(f5(c2),f6(c2))
| big_p(c3) ),
inference(renaming,[status(thm)],[c_5267]) ).
cnf(c_5282,plain,
( ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP0_iProver_def
| ~ sP12_iProver_def
| big_p(c3) ),
inference(superposition,[status(thm)],[c_5268,c_1630]) ).
cnf(c_5559,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(f6(c4))
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_4150,c_102,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1642,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381]) ).
cnf(c_5560,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f6(c4))
| big_p(c1) ),
inference(renaming,[status(thm)],[c_5559]) ).
cnf(c_5561,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_5560,c_102,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1642,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381]) ).
cnf(c_5562,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c1) ),
inference(renaming,[status(thm)],[c_5561]) ).
cnf(c_5605,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f2(c2))
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_4421,c_102,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1642,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381,c_2574,c_4153,c_4421,c_5282]) ).
cnf(c_5732,plain,
( ~ big_p(c2)
| ~ sP1_iProver_def
| big_r(f1(c2),f2(c2))
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2845,c_1642,c_2845]) ).
cnf(c_5745,plain,
( ~ big_r(c2,f1(c2))
| ~ big_p(f2(c2))
| ~ big_p(c2)
| ~ sP1_iProver_def
| ~ sP12_iProver_def
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_5732,c_1630]) ).
cnf(c_5897,plain,
( ~ big_r(f5(c2),f6(c2))
| ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_3993]) ).
cnf(c_6006,plain,
( ~ big_p(c2)
| big_r(f5(c2),f6(c2))
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2846,c_1506,c_1509,c_1515,c_1614,c_1642,c_1631,c_2831,c_4773,c_5019,c_5745]) ).
cnf(c_6015,plain,
( ~ big_p(f6(c2))
| ~ big_p(c2)
| ~ sP5_iProver_def
| big_p(f6(f5(c2)))
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_6006,c_1582]) ).
cnf(c_6017,plain,
( ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ big_p(c2)
| ~ sP12_iProver_def
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_6006,c_1630]) ).
cnf(c_6534,plain,
( ~ big_r(f1(c2),f2(c2))
| ~ big_r(c2,f1(c2))
| ~ big_p(f2(c2))
| ~ sP12_iProver_def ),
inference(instantiation,[status(thm)],[c_1680]) ).
cnf(c_7542,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c2,f1(c2))
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_3279,c_102,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1642,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2149,c_2246,c_2381,c_2574,c_3279,c_4153,c_5897]) ).
cnf(c_7544,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_7542,c_102,c_114,c_103,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1642,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2149,c_2246,c_2381,c_2574,c_2834,c_4153,c_5605,c_5897,c_6534,c_7542]) ).
cnf(c_7545,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3) ),
inference(renaming,[status(thm)],[c_7544]) ).
cnf(c_8356,plain,
( ~ sP5_iProver_def
| ~ big_p(c2)
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_6015,c_1512,c_1518,c_1524,c_1614,c_1642,c_1631,c_2830,c_4151,c_4773,c_5019,c_5732,c_6017,c_6534]) ).
cnf(c_8357,plain,
( ~ big_p(c2)
| ~ sP5_iProver_def
| sP13_iProver_def ),
inference(renaming,[status(thm)],[c_8356]) ).
cnf(c_8358,plain,
( ~ big_p(c2)
| sP13_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8357,c_1521,c_1527,c_1530,c_1614,c_4773,c_5019,c_5732,c_6534,c_8357]) ).
cnf(c_8420,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f6(c2))
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_4152,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381,c_2396,c_3278,c_4152,c_4420,c_5562,c_6534,c_7545,c_8358]) ).
cnf(c_8590,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f2(c2))
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_4420,c_115,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1614,c_1629,c_1627,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2149,c_2246,c_2381,c_2397,c_2396,c_2573,c_2830,c_2846,c_3278,c_4420,c_4773,c_5019,c_5562,c_5732,c_5897,c_6534,c_7545,c_8357,c_8420]) ).
cnf(c_9594,plain,
( ~ big_p(f4(c2))
| ~ sP7_iProver_def
| ~ sP9_iProver_def
| ~ sP12_iProver_def
| big_p(c2) ),
inference(superposition,[status(thm)],[c_1606,c_3470]) ).
cnf(c_9622,plain,
( ~ sP7_iProver_def
| ~ sP9_iProver_def
| ~ sP12_iProver_def
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9594,c_1602,c_1608,c_1611,c_1663,c_1665,c_1667,c_1701,c_6534,c_9594]) ).
cnf(c_9624,plain,
( ~ sP9_iProver_def
| ~ sP12_iProver_def
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9622,c_1587,c_1590,c_1596,c_1663,c_1665,c_1667,c_6534,c_9622]) ).
cnf(c_9626,plain,
( ~ sP12_iProver_def
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9624,c_1593,c_1599,c_1605,c_1663,c_1665,c_1667,c_6534,c_9624]) ).
cnf(c_9632,plain,
( ~ sP12_iProver_def
| sP13_iProver_def ),
inference(superposition,[status(thm)],[c_9626,c_8358]) ).
cnf(c_9668,plain,
( ~ sP7_iProver_def
| ~ big_p(f4(X0))
| ~ big_r(c4,f3(X0))
| big_p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3663,c_115,c_1506,c_1509,c_1512,c_1515,c_1518,c_1521,c_1524,c_1527,c_1530,c_1587,c_1590,c_1596,c_1614,c_1662,c_1664,c_1666,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_2246,c_2381,c_2397,c_2396,c_2830,c_3278,c_3663,c_4837,c_5562,c_5897,c_6534,c_7545,c_8420,c_8590,c_9626,c_9632]) ).
cnf(c_9669,plain,
( ~ big_r(c4,f3(X0))
| ~ big_p(f4(X0))
| ~ sP7_iProver_def
| big_p(X0) ),
inference(renaming,[status(thm)],[c_9668]) ).
cnf(c_9678,plain,
( ~ big_p(f4(c4))
| ~ sP7_iProver_def
| ~ sP9_iProver_def
| big_p(c4) ),
inference(superposition,[status(thm)],[c_1606,c_9669]) ).
cnf(c_9870,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9678,c_9632,c_9626,c_8590,c_8420,c_7545,c_6534,c_5897,c_5562,c_4837,c_3278,c_2830,c_2396,c_2397,c_2381,c_2246,c_1778,c_1779,c_1780,c_1781,c_1782,c_1783,c_1700,c_1666,c_1664,c_1662,c_1614,c_1611,c_1608,c_1605,c_1602,c_1599,c_1596,c_1593,c_1590,c_1587,c_1530,c_1527,c_1524,c_1521,c_1518,c_1515,c_1512,c_1509,c_1506,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 21:16:05 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.77/1.18 % SZS status Started for theBenchmark.p
% 2.77/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.18
% 2.77/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.77/1.18
% 2.77/1.18 ------ iProver source info
% 2.77/1.18
% 2.77/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.77/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.77/1.18 git: non_committed_changes: false
% 2.77/1.18
% 2.77/1.18 ------ Parsing...successful
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.77/1.18
% 2.77/1.18 ------ Preprocessing... gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.77/1.18 ------ Proving...
% 2.77/1.18 ------ Problem Properties
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18 clauses 69
% 2.77/1.18 conjectures 69
% 2.77/1.18 EPR 57
% 2.77/1.18 Horn 9
% 2.77/1.18 unary 1
% 2.77/1.18 binary 37
% 2.77/1.18 lits 186
% 2.77/1.18 lits eq 0
% 2.77/1.18 fd_pure 0
% 2.77/1.18 fd_pseudo 0
% 2.77/1.18 fd_cond 0
% 2.77/1.18 fd_pseudo_cond 0
% 2.77/1.18 AC symbols 0
% 2.77/1.18
% 2.77/1.18 ------ Schedule dynamic 5 is on
% 2.77/1.18
% 2.77/1.18 ------ no equalities: superposition off
% 2.77/1.18
% 2.77/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18 ------
% 2.77/1.18 Current options:
% 2.77/1.18 ------
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18 ------ Proving...
% 2.77/1.18
% 2.77/1.18
% 2.77/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.18
% 2.77/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.19
% 2.77/1.19
%------------------------------------------------------------------------------