TSTP Solution File: SYN067-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:05:03 EDT 2023
% Result : Unsatisfiable 2.76s 1.17s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 34
% Syntax : Number of clauses : 231 ( 8 unt; 150 nHn; 189 RR)
% Number of literals : 972 ( 0 equ; 549 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 : 247 ( 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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_285]) ).
cnf(c_1443,negated_conjecture,
( ~ big_r(X0,X1)
| big_r(f1(X0),f2(X0))
| ~ big_p(X1)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_285]) ).
cnf(c_1444,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_283]) ).
cnf(c_1446,negated_conjecture,
( sP0_iProver_split
| sP2_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_281]) ).
cnf(c_1448,negated_conjecture,
( sP1_iProver_split
| sP3_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_279]) ).
cnf(c_1450,negated_conjecture,
( sP0_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_279]) ).
cnf(c_1451,negated_conjecture,
( sP2_iProver_split
| sP3_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_275]) ).
cnf(c_1453,negated_conjecture,
( sP1_iProver_split
| sP5_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_275]) ).
cnf(c_1454,negated_conjecture,
( sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_273]) ).
cnf(c_1455,negated_conjecture,
( sP2_iProver_split
| sP5_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_271]) ).
cnf(c_1456,negated_conjecture,
( sP4_iProver_split
| sP5_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_261]) ).
cnf(c_1459,negated_conjecture,
( big_r(f3(X0),f4(X0))
| big_p(X0)
| ~ sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_259]) ).
cnf(c_1461,negated_conjecture,
( big_r(X0,f1(X0))
| big_p(X0)
| ~ sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_257]) ).
cnf(c_1465,negated_conjecture,
( big_r(X0,f3(X0))
| big_p(X0)
| ~ sP9_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_251]) ).
cnf(c_1467,negated_conjecture,
( big_p(X0)
| big_p(f2(X0))
| ~ sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_249]) ).
cnf(c_1473,negated_conjecture,
( big_p(X0)
| big_p(f4(X0))
| ~ sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_239]) ).
cnf(c_1481,negated_conjecture,
( sP6_iProver_split
| sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_216]) ).
cnf(c_1482,negated_conjecture,
( sP7_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_214]) ).
cnf(c_1483,negated_conjecture,
( sP6_iProver_split
| sP9_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_212]) ).
cnf(c_1484,negated_conjecture,
( sP7_iProver_split
| sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_202]) ).
cnf(c_1485,negated_conjecture,
( sP8_iProver_split
| sP9_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_200]) ).
cnf(c_1486,negated_conjecture,
( sP6_iProver_split
| sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_198]) ).
cnf(c_1487,negated_conjecture,
( sP9_iProver_split
| sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_192]) ).
cnf(c_1488,negated_conjecture,
( sP8_iProver_split
| sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_190]) ).
cnf(c_1489,negated_conjecture,
( sP10_iProver_split
| sP11_iProver_split ),
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_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_132]) ).
cnf(c_1491,negated_conjecture,
( ~ big_r(X0,X1)
| ~ big_r(c4,X0)
| ~ big_p(X1)
| ~ sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_132]) ).
cnf(c_1492,negated_conjecture,
( sP12_iProver_split
| sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_1496,negated_conjecture,
( ~ big_p(c4)
| big_r(c4,c3)
| sP12_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_127]) ).
cnf(c_1497,negated_conjecture,
( ~ big_p(c4)
| big_p(c3)
| sP12_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
cnf(c_1498,negated_conjecture,
( ~ big_p(c2)
| big_r(c2,c1)
| sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_120]) ).
cnf(c_1502,negated_conjecture,
( ~ big_p(c2)
| big_p(c1)
| sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_108]) ).
cnf(c_1514,plain,
( ~ sP10_iProver_split
| big_p(f2(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1467]) ).
cnf(c_1515,plain,
( ~ sP10_iProver_split
| big_p(f2(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1467]) ).
cnf(c_1516,plain,
( ~ sP6_iProver_split
| big_r(f1(c4),f2(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1457]) ).
cnf(c_1517,plain,
( ~ sP6_iProver_split
| big_r(f1(c2),f2(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1457]) ).
cnf(c_1518,plain,
( ~ sP8_iProver_split
| big_r(c4,f1(c4))
| big_p(c4) ),
inference(instantiation,[status(thm)],[c_1461]) ).
cnf(c_1519,plain,
( ~ sP8_iProver_split
| big_r(c2,f1(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1461]) ).
cnf(c_1532,plain,
( ~ big_r(f1(c2),X0)
| ~ big_r(c2,f1(c2))
| ~ big_p(X0)
| ~ sP12_iProver_split ),
inference(instantiation,[status(thm)],[c_1490]) ).
cnf(c_1557,plain,
( ~ sP11_iProver_split
| big_p(f4(c2))
| big_p(c2) ),
inference(instantiation,[status(thm)],[c_1473]) ).
cnf(c_1630,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP5_iProver_split
| big_p(f6(c4)) ),
inference(instantiation,[status(thm)],[c_1452]) ).
cnf(c_1631,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP3_iProver_split
| big_r(c4,f5(c4)) ),
inference(instantiation,[status(thm)],[c_1447]) ).
cnf(c_1632,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP0_iProver_split
| big_r(f5(c4),f6(c4)) ),
inference(instantiation,[status(thm)],[c_1442]) ).
cnf(c_1633,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP2_iProver_split
| big_r(c4,f1(c4)) ),
inference(instantiation,[status(thm)],[c_1445]) ).
cnf(c_1634,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP1_iProver_split
| big_r(f1(c4),f2(c4)) ),
inference(instantiation,[status(thm)],[c_1443]) ).
cnf(c_1635,plain,
( ~ big_r(c4,c3)
| ~ big_p(c3)
| ~ sP4_iProver_split
| big_p(f2(c4)) ),
inference(instantiation,[status(thm)],[c_1449]) ).
cnf(c_1692,plain,
( ~ big_r(f5(c4),X0)
| ~ big_r(c4,f5(c4))
| ~ big_p(X0)
| ~ sP13_iProver_split ),
inference(instantiation,[status(thm)],[c_1491]) ).
cnf(c_1706,plain,
( ~ big_r(f1(c4),X0)
| ~ big_r(c4,f1(c4))
| ~ big_p(X0)
| ~ sP13_iProver_split ),
inference(instantiation,[status(thm)],[c_1491]) ).
cnf(c_2129,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP0_iProver_split
| big_r(f5(c4),f6(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1442]) ).
cnf(c_2130,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_split
| big_r(f5(c2),f6(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1442]) ).
cnf(c_2131,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_split
| big_r(f5(c2),f6(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_114,c_1442]) ).
cnf(c_2159,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_split
| big_r(f5(c2),f6(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1442]) ).
cnf(c_2210,plain,
( ~ big_r(f5(c4),f6(c4))
| ~ big_r(c4,f5(c4))
| ~ big_p(f6(c4))
| ~ sP13_iProver_split ),
inference(instantiation,[status(thm)],[c_1692]) ).
cnf(c_2213,plain,
( ~ big_r(f1(c4),f2(c4))
| ~ big_r(c4,f1(c4))
| ~ big_p(f2(c4))
| ~ sP13_iProver_split ),
inference(instantiation,[status(thm)],[c_1706]) ).
cnf(c_2362,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP1_iProver_split
| big_r(f1(c4),f2(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1443]) ).
cnf(c_2363,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP1_iProver_split
| big_r(f1(c2),f2(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1443]) ).
cnf(c_2364,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP1_iProver_split
| big_r(f1(c2),f2(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_114,c_1443]) ).
cnf(c_2462,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP1_iProver_split
| big_r(f1(c4),f2(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1443]) ).
cnf(c_2463,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP0_iProver_split
| big_r(f5(c4),f6(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1442]) ).
cnf(c_2552,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP1_iProver_split
| big_r(f1(c2),f2(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1443]) ).
cnf(c_2553,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP0_iProver_split
| big_r(f5(c2),f6(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1442]) ).
cnf(c_2684,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP5_iProver_split
| big_p(f6(c2)) ),
inference(instantiation,[status(thm)],[c_1452]) ).
cnf(c_2685,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP3_iProver_split
| big_r(c2,f5(c2)) ),
inference(instantiation,[status(thm)],[c_1447]) ).
cnf(c_2687,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP2_iProver_split
| big_r(c2,f1(c2)) ),
inference(instantiation,[status(thm)],[c_1445]) ).
cnf(c_2688,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP1_iProver_split
| big_r(f1(c2),f2(c2)) ),
inference(instantiation,[status(thm)],[c_1443]) ).
cnf(c_2689,plain,
( ~ big_r(c2,c1)
| ~ big_p(c1)
| ~ sP4_iProver_split
| big_p(f2(c2)) ),
inference(instantiation,[status(thm)],[c_1449]) ).
cnf(c_2883,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP4_iProver_split
| big_p(f2(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1449]) ).
cnf(c_2884,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP4_iProver_split
| big_p(f2(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1449]) ).
cnf(c_2885,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP4_iProver_split
| big_p(f2(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1449]) ).
cnf(c_2886,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP4_iProver_split
| big_p(f2(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1449]) ).
cnf(c_3133,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP2_iProver_split
| big_r(c4,f1(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1445]) ).
cnf(c_3134,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP2_iProver_split
| big_r(c4,f1(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1445]) ).
cnf(c_3135,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP2_iProver_split
| big_r(c2,f1(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1445]) ).
cnf(c_3136,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP2_iProver_split
| big_r(c2,f1(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1445]) ).
cnf(c_3338,plain,
( ~ big_r(c2,f3(X0))
| ~ big_p(f4(X0))
| ~ sP7_iProver_split
| ~ sP12_iProver_split
| big_p(X0) ),
inference(superposition,[status(thm)],[c_1459,c_1490]) ).
cnf(c_3720,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(f2(c4))
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_2884,c_102,c_103,c_1450,c_1454,c_1456,c_1502,c_1632,c_1631,c_1630,c_2210,c_2884]) ).
cnf(c_3721,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f2(c4))
| big_p(c1) ),
inference(renaming,[status(thm)],[c_3720]) ).
cnf(c_3783,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP5_iProver_split
| big_p(f6(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1452]) ).
cnf(c_3784,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP5_iProver_split
| big_p(f6(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1452]) ).
cnf(c_3785,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP5_iProver_split
| big_p(f6(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1452]) ).
cnf(c_3786,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP5_iProver_split
| big_p(f6(c2))
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_115,c_1452]) ).
cnf(c_3957,plain,
( ~ big_p(c4)
| big_p(f2(c4))
| sP12_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2883,c_1450,c_1454,c_1456,c_1492,c_1497,c_1496,c_1635,c_1631,c_2210,c_2463,c_3783]) ).
cnf(c_4005,plain,
( ~ big_p(c4)
| big_p(f6(c4))
| sP12_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_3783,c_1453,c_1455,c_1492,c_1497,c_1496,c_1630,c_2213,c_2462,c_3133,c_3957]) ).
cnf(c_4039,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP3_iProver_split
| big_r(c4,f5(c4))
| sP12_iProver_split ),
inference(superposition,[status(thm)],[c_1496,c_1447]) ).
cnf(c_4040,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP3_iProver_split
| big_r(c4,f5(c4))
| big_p(c1) ),
inference(superposition,[status(thm)],[c_103,c_1447]) ).
cnf(c_4041,plain,
( ~ big_p(c2)
| ~ big_p(c1)
| ~ sP3_iProver_split
| big_r(c2,f5(c2))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_1498,c_1447]) ).
cnf(c_4043,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(c1)
| ~ sP3_iProver_split
| big_r(c2,f5(c2))
| big_p(c3) ),
inference(superposition,[status(thm)],[c_114,c_1447]) ).
cnf(c_4259,plain,
( ~ big_p(c2)
| ~ sP5_iProver_split
| big_p(f6(c2))
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_3785,c_1502,c_3785]) ).
cnf(c_4331,plain,
( ~ big_p(c4)
| big_r(c4,f1(c4))
| sP12_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_3133,c_1446,c_1451,c_1492,c_1497,c_1496,c_1633,c_2210,c_2463,c_4005,c_4039]) ).
cnf(c_4333,plain,
( ~ big_p(c4)
| sP12_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_4331,c_1444,c_1448,c_1492,c_1497,c_1496,c_1634,c_2210,c_2213,c_2463,c_3957,c_4005,c_4039,c_4331]) ).
cnf(c_4537,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(f5(c4),f6(c4))
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_2129,c_102,c_1444,c_1446,c_1502,c_2129,c_2213,c_2362,c_3134,c_3721]) ).
cnf(c_4538,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(f5(c4),f6(c4))
| big_p(c1) ),
inference(renaming,[status(thm)],[c_4537]) ).
cnf(c_4815,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(f6(c4))
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_3784,c_102,c_1453,c_1455,c_1502,c_2213,c_2362,c_3134,c_3721,c_3784]) ).
cnf(c_4816,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f6(c4))
| big_p(c1) ),
inference(renaming,[status(thm)],[c_4815]) ).
cnf(c_4817,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c1) ),
inference(global_subsumption_just,[status(thm)],[c_4816,c_102,c_1448,c_1451,c_1502,c_2210,c_2213,c_2362,c_3134,c_3721,c_4040,c_4538,c_4816]) ).
cnf(c_4818,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c1) ),
inference(renaming,[status(thm)],[c_4817]) ).
cnf(c_4857,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| ~ sP4_iProver_split
| big_p(f2(c2))
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_2886,c_102,c_1448,c_1451,c_1502,c_2210,c_2213,c_2362,c_2886,c_3134,c_3721,c_4040,c_4538,c_4816]) ).
cnf(c_4858,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| ~ sP4_iProver_split
| big_p(f2(c2))
| big_r(c4,c3) ),
inference(renaming,[status(thm)],[c_4857]) ).
cnf(c_5189,plain,
( ~ big_p(c2)
| ~ sP3_iProver_split
| big_r(c2,f5(c2))
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_4041,c_1502,c_4041]) ).
cnf(c_5390,plain,
( ~ big_p(c2)
| ~ sP1_iProver_split
| big_r(f1(c2),f2(c2))
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2552,c_1502,c_2552]) ).
cnf(c_5403,plain,
( ~ big_r(c2,f1(c2))
| ~ big_p(f2(c2))
| ~ big_p(c2)
| ~ sP1_iProver_split
| ~ sP12_iProver_split
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_5390,c_1490]) ).
cnf(c_5645,plain,
( ~ big_p(c2)
| big_r(f5(c2),f6(c2))
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2553,c_1444,c_1446,c_1450,c_1492,c_1502,c_2553,c_2885,c_3135,c_5403]) ).
cnf(c_5654,plain,
( ~ big_p(f6(c2))
| ~ big_p(c2)
| ~ sP5_iProver_split
| big_p(f6(f5(c2)))
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_5645,c_1452]) ).
cnf(c_5656,plain,
( ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ big_p(c2)
| ~ sP12_iProver_split
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_5645,c_1490]) ).
cnf(c_5905,plain,
( ~ big_r(f1(c2),f2(c2))
| ~ big_r(c2,f1(c2))
| ~ big_p(f2(c2))
| ~ sP12_iProver_split ),
inference(instantiation,[status(thm)],[c_1532]) ).
cnf(c_6267,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(f5(c2),f6(c2))
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_2159,c_102,c_1444,c_1446,c_1448,c_1450,c_1451,c_1492,c_1497,c_1502,c_1496,c_1634,c_2130,c_2210,c_2213,c_2362,c_2363,c_2463,c_3134,c_3136,c_3721,c_3957,c_4005,c_4039,c_4040,c_4331,c_4538,c_4816,c_4858,c_5905]) ).
cnf(c_6280,plain,
( ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP12_iProver_split
| big_r(c4,c3) ),
inference(superposition,[status(thm)],[c_6267,c_1490]) ).
cnf(c_8352,plain,
( ~ sP5_iProver_split
| ~ big_p(c2)
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5654,c_1448,c_1451,c_1454,c_1492,c_1502,c_2552,c_2885,c_3135,c_4259,c_5189,c_5656,c_5905]) ).
cnf(c_8353,plain,
( ~ big_p(c2)
| ~ sP5_iProver_split
| sP13_iProver_split ),
inference(renaming,[status(thm)],[c_8352]) ).
cnf(c_8354,plain,
( ~ big_p(c2)
| sP13_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_8353,c_1453,c_1455,c_1456,c_1492,c_1502,c_1498,c_2689,c_2687,c_5403,c_8353]) ).
cnf(c_8392,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(f5(c2),f6(c2))
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_2131,c_102,c_114,c_1444,c_1446,c_1448,c_1450,c_1451,c_1492,c_1497,c_1502,c_1496,c_1634,c_2131,c_2210,c_2213,c_2362,c_2463,c_2689,c_2688,c_2687,c_3134,c_3721,c_3957,c_4005,c_4039,c_4040,c_4331,c_4538,c_4816,c_5905]) ).
cnf(c_8405,plain,
( ~ big_r(c2,f5(c2))
| ~ big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP12_iProver_split
| big_p(c3) ),
inference(superposition,[status(thm)],[c_8392,c_1490]) ).
cnf(c_8561,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f6(c2))
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_3786,c_1444,c_1448,c_1453,c_1455,c_1456,c_1492,c_1497,c_1496,c_1634,c_2210,c_2213,c_2363,c_2463,c_3136,c_3786,c_3957,c_4005,c_4039,c_4331,c_4818,c_4858,c_5905]) ).
cnf(c_8563,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_8561,c_115,c_1444,c_1448,c_1451,c_1454,c_1492,c_1497,c_1496,c_1634,c_2210,c_2213,c_2363,c_2463,c_2685,c_3136,c_3957,c_4005,c_4039,c_4331,c_4818,c_4858,c_5905,c_6280,c_8561]) ).
cnf(c_8564,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3) ),
inference(renaming,[status(thm)],[c_8563]) ).
cnf(c_8572,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP5_iProver_split
| big_p(f6(c4)) ),
inference(superposition,[status(thm)],[c_8564,c_1452]) ).
cnf(c_8576,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP4_iProver_split
| big_p(f2(c4)) ),
inference(superposition,[status(thm)],[c_8564,c_1449]) ).
cnf(c_8578,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ sP0_iProver_split
| big_r(f5(c4),f6(c4)) ),
inference(superposition,[status(thm)],[c_8564,c_1442]) ).
cnf(c_8703,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c2,f5(c2))
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_4043,c_102,c_114,c_1444,c_1448,c_1451,c_1454,c_1492,c_1497,c_1502,c_1496,c_1634,c_2210,c_2213,c_2362,c_2463,c_2689,c_2688,c_2687,c_3134,c_3721,c_3957,c_4005,c_4039,c_4043,c_4040,c_4331,c_4538,c_4816,c_5905]) ).
cnf(c_8705,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_8703,c_102,c_114,c_1444,c_1448,c_1451,c_1453,c_1455,c_1456,c_1492,c_1497,c_1502,c_1496,c_1634,c_2210,c_2213,c_2362,c_2463,c_2689,c_2688,c_2687,c_2684,c_3134,c_3721,c_3957,c_4005,c_4039,c_4040,c_4331,c_4538,c_4816,c_5905,c_8405,c_8703]) ).
cnf(c_8706,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3) ),
inference(renaming,[status(thm)],[c_8705]) ).
cnf(c_8785,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(f6(c4)) ),
inference(global_subsumption_just,[status(thm)],[c_8572,c_102,c_114,c_1444,c_1448,c_1451,c_1453,c_1455,c_1456,c_1492,c_1497,c_1502,c_1496,c_1498,c_1635,c_1634,c_1633,c_1630,c_2210,c_2213,c_2362,c_2463,c_2689,c_2688,c_2687,c_2684,c_3134,c_3721,c_3957,c_4005,c_4039,c_4040,c_4331,c_4538,c_4816,c_5403,c_5905,c_8353,c_8405,c_8564,c_8703]) ).
cnf(c_8786,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f6(c4)) ),
inference(renaming,[status(thm)],[c_8785]) ).
cnf(c_8801,plain,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(f2(c4)) ),
inference(global_subsumption_just,[status(thm)],[c_8576,c_102,c_114,c_1444,c_1448,c_1450,c_1451,c_1453,c_1454,c_1455,c_1456,c_1492,c_1497,c_1502,c_1496,c_1498,c_1635,c_1634,c_1632,c_1631,c_2210,c_2213,c_2362,c_2463,c_2689,c_2688,c_2687,c_2684,c_3134,c_3721,c_3957,c_4005,c_4039,c_4040,c_4331,c_4538,c_4816,c_5403,c_5905,c_8353,c_8405,c_8564,c_8703,c_8786]) ).
cnf(c_8802,plain,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(f2(c4)) ),
inference(renaming,[status(thm)],[c_8801]) ).
cnf(c_9639,plain,
( ~ big_p(f4(c2))
| ~ sP7_iProver_split
| ~ sP9_iProver_split
| ~ sP12_iProver_split
| big_p(c2) ),
inference(superposition,[status(thm)],[c_1465,c_3338]) ).
cnf(c_9661,plain,
( ~ sP7_iProver_split
| ~ sP9_iProver_split
| ~ sP12_iProver_split
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9639,c_1486,c_1488,c_1489,c_1515,c_1517,c_1519,c_1557,c_5905,c_9639]) ).
cnf(c_9663,plain,
( ~ sP9_iProver_split
| ~ sP12_iProver_split
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9661,c_1481,c_1482,c_1484,c_1515,c_1517,c_1519,c_5905,c_9661]) ).
cnf(c_9665,plain,
( ~ sP12_iProver_split
| big_p(c2) ),
inference(global_subsumption_just,[status(thm)],[c_9663,c_1483,c_1485,c_1487,c_1515,c_1517,c_1519,c_5905,c_9663]) ).
cnf(c_9671,plain,
( ~ sP12_iProver_split
| sP13_iProver_split ),
inference(superposition,[status(thm)],[c_9665,c_8354]) ).
cnf(c_9683,plain,
( ~ big_p(c4)
| big_p(c3) ),
inference(global_subsumption_just,[status(thm)],[c_2364,c_1444,c_1448,c_1483,c_1485,c_1487,c_1492,c_1497,c_1496,c_1515,c_1517,c_1519,c_1634,c_2210,c_2213,c_2463,c_3957,c_4005,c_4039,c_4331,c_5905,c_8706,c_9663]) ).
cnf(c_9701,plain,
( ~ big_p(c4)
| big_r(c4,c3) ),
inference(global_subsumption_just,[status(thm)],[c_3136,c_1483,c_1485,c_1487,c_1515,c_1517,c_1519,c_4333,c_5905,c_8564,c_9663]) ).
cnf(c_9707,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP3_iProver_split
| big_r(c4,f5(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1447]) ).
cnf(c_9708,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP5_iProver_split
| big_p(f6(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1452]) ).
cnf(c_9711,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP2_iProver_split
| big_r(c4,f1(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1445]) ).
cnf(c_9712,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP4_iProver_split
| big_p(f2(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1449]) ).
cnf(c_9713,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP1_iProver_split
| big_r(f1(c4),f2(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1443]) ).
cnf(c_9714,plain,
( ~ big_p(c3)
| ~ big_p(c4)
| ~ sP0_iProver_split
| big_r(f5(c4),f6(c4)) ),
inference(superposition,[status(thm)],[c_9701,c_1442]) ).
cnf(c_9848,plain,
sP13_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_9671,c_1492,c_9671]) ).
cnf(c_9854,plain,
( ~ big_r(X0,X1)
| ~ big_r(c4,X0)
| ~ big_p(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1491,c_9848]) ).
cnf(c_9915,plain,
( ~ big_p(c4)
| big_p(f6(c4)) ),
inference(global_subsumption_just,[status(thm)],[c_9708,c_1444,c_1446,c_1448,c_1451,c_1483,c_1485,c_1487,c_1492,c_1497,c_1496,c_1515,c_1517,c_1519,c_1634,c_1633,c_1632,c_1631,c_2210,c_2213,c_2463,c_3957,c_4005,c_4039,c_4331,c_5905,c_8786,c_8802,c_9663,c_9671,c_9683,c_9701,c_9711,c_9713]) ).
cnf(c_9927,plain,
( ~ big_p(c4)
| big_p(f2(c4)) ),
inference(global_subsumption_just,[status(thm)],[c_9712,c_1444,c_1446,c_1448,c_1451,c_1483,c_1485,c_1487,c_1492,c_1497,c_1496,c_1515,c_1517,c_1519,c_1634,c_1633,c_1632,c_1631,c_2210,c_2213,c_2463,c_3957,c_4005,c_4039,c_4331,c_5905,c_8786,c_8802,c_9663,c_9671,c_9683,c_9701,c_9711,c_9713]) ).
cnf(c_9946,plain,
( ~ big_r(c4,f3(X0))
| ~ big_p(f4(X0))
| ~ sP7_iProver_split
| big_p(X0) ),
inference(superposition,[status(thm)],[c_1459,c_9854]) ).
cnf(c_10113,plain,
( ~ big_p(c4)
| big_r(c4,f5(c4)) ),
inference(global_subsumption_just,[status(thm)],[c_9707,c_1444,c_1446,c_1448,c_1451,c_1492,c_2210,c_2213,c_9671,c_9683,c_9711,c_9707,c_9714,c_9713,c_9915,c_9927]) ).
cnf(c_10115,plain,
~ big_p(c4),
inference(global_subsumption_just,[status(thm)],[c_10113,c_1444,c_1446,c_1483,c_1485,c_1487,c_1492,c_1515,c_1517,c_1519,c_2210,c_2213,c_4333,c_5905,c_8578,c_9663,c_9671,c_9683,c_9711,c_9713,c_9915,c_9927,c_10113]) ).
cnf(c_10133,plain,
( ~ big_r(c4,f3(X0))
| ~ sP7_iProver_split
| big_p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9946,c_1481,c_1482,c_1484,c_1486,c_1488,c_1489,c_1473,c_1514,c_1516,c_1518,c_2213,c_9848,c_9946,c_10115]) ).
cnf(c_10135,plain,
( ~ big_r(c4,f3(X0))
| big_p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_10133,c_1481,c_1482,c_1484,c_1514,c_1516,c_1518,c_2213,c_9848,c_10115,c_10133]) ).
cnf(c_10141,plain,
( ~ sP9_iProver_split
| big_p(c4) ),
inference(superposition,[status(thm)],[c_1465,c_10135]) ).
cnf(c_10142,plain,
~ sP9_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_10141,c_10115]) ).
cnf(c_10143,plain,
sP10_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_1487,c_10142]) ).
cnf(c_10144,plain,
sP8_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_1485,c_10142]) ).
cnf(c_10145,plain,
sP6_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_1483,c_10142]) ).
cnf(c_10218,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10143,c_10144,c_10145,c_10115,c_9848,c_2213,c_1518,c_1516,c_1514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n005.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 : Sat Aug 26 18:24:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.76/1.17 % SZS status Started for theBenchmark.p
% 2.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.17
% 2.76/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.76/1.17
% 2.76/1.17 ------ iProver source info
% 2.76/1.17
% 2.76/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.76/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.76/1.17 git: non_committed_changes: false
% 2.76/1.17 git: last_make_outside_of_git: false
% 2.76/1.17
% 2.76/1.17 ------ Parsing...successful
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.76/1.17
% 2.76/1.17 ------ Preprocessing... gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.76/1.17 ------ Proving...
% 2.76/1.17 ------ Problem Properties
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 clauses 69
% 2.76/1.17 conjectures 69
% 2.76/1.17 EPR 57
% 2.76/1.17 Horn 9
% 2.76/1.17 unary 1
% 2.76/1.17 binary 37
% 2.76/1.17 lits 186
% 2.76/1.17 lits eq 0
% 2.76/1.17 fd_pure 0
% 2.76/1.17 fd_pseudo 0
% 2.76/1.17 fd_cond 0
% 2.76/1.17 fd_pseudo_cond 0
% 2.76/1.17 AC symbols 0
% 2.76/1.17
% 2.76/1.17 ------ Schedule dynamic 5 is on
% 2.76/1.17
% 2.76/1.17 ------ no equalities: superposition off
% 2.76/1.17
% 2.76/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 ------
% 2.76/1.17 Current options:
% 2.76/1.17 ------
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 ------ Proving...
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.17
% 2.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.18
% 2.76/1.18
%------------------------------------------------------------------------------