%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS011-1 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 04:36:09 PM UTC 2026
% Result : Satisfiable 1.29s 1.73s
% Output : Saturation 1.29s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_8,axiom,
( t(X1,X2)
| ~ t3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_36,axiom,
( t3(u11r4(X1),u11r5(X1))
| ~ f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).
cnf(clause_45,axiom,
( f3(X1)
| ~ f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_45) ).
cnf(clause_1,negated_conjecture,
f(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_7,axiom,
( t(X1,X2)
| ~ t2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_26,axiom,
( t2(u10r4(X1),u10r5(X1))
| ~ f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_46,axiom,
( f2(X1)
| ~ f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_46) ).
cnf(clause_6,axiom,
( t(X1,X2)
| ~ t1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_16,axiom,
( t1(u9r4(X1),u9r5(X1))
| ~ f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_47,axiom,
( f1(X1)
| ~ f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_47) ).
cnf(clause_5,axiom,
( r(X1,X2)
| ~ r3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_38,axiom,
( r3(X1,u11r4(X1))
| ~ f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_38) ).
cnf(clause_4,axiom,
( r(X1,X2)
| ~ r2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_28,axiom,
( r2(X1,u10r4(X1))
| ~ f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_3,axiom,
( r(X1,X2)
| ~ r1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_18,axiom,
( r1(X1,u9r4(X1))
| ~ f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_54,axiom,
( r2least(X1)
| equalish(X2,X3)
| ~ r(X1,X2)
| ~ r(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54) ).
cnf(clause_37,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f3(X4)
| ~ t(u11r4(X4),X1)
| ~ t(u11r4(X4),X2)
| ~ t(u11r4(X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_37) ).
cnf(clause_27,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f2(X4)
| ~ t(u10r4(X4),X1)
| ~ t(u10r4(X4),X2)
| ~ t(u10r4(X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_17,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f1(X4)
| ~ t(u9r4(X4),X1)
| ~ t(u9r4(X4),X2)
| ~ t(u9r4(X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_2,negated_conjecture,
~ g(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_50,axiom,
( g(X1)
| ~ r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_50) ).
cnf(clause_44,axiom,
( f3(X1)
| t(X2,u11r3(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
cnf(clause_35,axiom,
( e(u11r5(X1))
| ~ f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
cnf(clause_42,axiom,
( f3(X1)
| t(X2,u11r1(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_42) ).
cnf(clause_43,axiom,
( f3(X1)
| t(X2,u11r2(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_43) ).
cnf(clause_34,axiom,
( f2(X1)
| t(X2,u10r3(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_25,axiom,
( d(u10r5(X1))
| ~ f2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_32,axiom,
( f2(X1)
| t(X2,u10r1(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(clause_52,axiom,
( r(X1,u14r1(X1))
| ~ r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_52) ).
cnf(clause_53,axiom,
( r(X1,u14r2(X1))
| ~ r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_53) ).
cnf(clause_33,axiom,
( f2(X1)
| t(X2,u10r2(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_24,axiom,
( f1(X1)
| t(X2,u9r3(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_15,axiom,
( c(u9r5(X1))
| ~ f1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_22,axiom,
( f1(X1)
| t(X2,u9r1(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_23,axiom,
( f1(X1)
| t(X2,u9r2(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_11,axiom,
( ~ d(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_10,axiom,
( ~ c(X1)
| ~ d(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_9,axiom,
( ~ c(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_40,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r3(X2,X1),u11r1(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40) ).
cnf(clause_41,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r3(X2,X1),u11r2(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_41) ).
cnf(clause_39,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r2(X2,X1),u11r1(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_39) ).
cnf(clause_30,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r3(X2,X1),u10r1(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_31,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r3(X2,X1),u10r2(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_29,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r2(X2,X1),u10r1(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_20,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r3(X2,X1),u9r1(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_21,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r3(X2,X1),u9r2(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_19,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r2(X2,X1),u9r1(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_48,axiom,
( f(X1)
| ~ f1(X1)
| ~ f2(X1)
| ~ f3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_48) ).
cnf(clause_51,axiom,
( ~ r2least(X1)
| ~ equalish(u14r2(X1),u14r1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
cnf(clause_49,axiom,
( r2least(X1)
| ~ g(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49) ).
cnf(c_0_51,axiom,
( t(X1,X2)
| ~ t3(X1,X2) ),
clause_8,
[final] ).
cnf(c_0_52,axiom,
( t3(u11r4(X1),u11r5(X1))
| ~ f3(X1) ),
clause_36,
[final] ).
cnf(c_0_53,axiom,
( f3(X1)
| ~ f(X1) ),
clause_45,
[final] ).
cnf(c_0_54,negated_conjecture,
f(exists),
clause_1,
[final] ).
cnf(c_0_55,axiom,
( t(X1,X2)
| ~ t2(X1,X2) ),
clause_7,
[final] ).
cnf(c_0_56,axiom,
( t2(u10r4(X1),u10r5(X1))
| ~ f2(X1) ),
clause_26,
[final] ).
cnf(c_0_57,axiom,
( f2(X1)
| ~ f(X1) ),
clause_46,
[final] ).
cnf(c_0_58,axiom,
( t(X1,X2)
| ~ t1(X1,X2) ),
clause_6,
[final] ).
cnf(c_0_59,axiom,
( t1(u9r4(X1),u9r5(X1))
| ~ f1(X1) ),
clause_16,
[final] ).
cnf(c_0_60,axiom,
( f1(X1)
| ~ f(X1) ),
clause_47,
[final] ).
cnf(c_0_61,axiom,
( r(X1,X2)
| ~ r3(X1,X2) ),
clause_5,
[final] ).
cnf(c_0_62,axiom,
( r3(X1,u11r4(X1))
| ~ f3(X1) ),
clause_38,
[final] ).
cnf(c_0_63,axiom,
( r(X1,X2)
| ~ r2(X1,X2) ),
clause_4,
[final] ).
cnf(c_0_64,axiom,
( r2(X1,u10r4(X1))
| ~ f2(X1) ),
clause_28,
[final] ).
cnf(c_0_65,axiom,
( r(X1,X2)
| ~ r1(X1,X2) ),
clause_3,
[final] ).
cnf(c_0_66,axiom,
( r1(X1,u9r4(X1))
| ~ f1(X1) ),
clause_18,
[final] ).
cnf(c_0_67,plain,
( t(u11r4(X1),u11r5(X1))
| ~ f3(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_68,negated_conjecture,
f3(exists),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_69,plain,
( t(u10r4(X1),u10r5(X1))
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_70,negated_conjecture,
f2(exists),
inference(spm,[status(thm)],[c_0_57,c_0_54]),
[final] ).
cnf(c_0_71,plain,
( t(u9r4(X1),u9r5(X1))
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]),
[final] ).
cnf(c_0_72,negated_conjecture,
f1(exists),
inference(spm,[status(thm)],[c_0_60,c_0_54]),
[final] ).
cnf(c_0_73,axiom,
( r2least(X1)
| equalish(X2,X3)
| ~ r(X1,X2)
| ~ r(X1,X3) ),
clause_54,
[final] ).
cnf(c_0_74,plain,
( r(X1,u11r4(X1))
| ~ f3(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_75,plain,
( r(X1,u10r4(X1))
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_76,plain,
( r(X1,u9r4(X1))
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]),
[final] ).
cnf(c_0_77,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f3(X4)
| ~ t(u11r4(X4),X1)
| ~ t(u11r4(X4),X2)
| ~ t(u11r4(X4),X3) ),
clause_37,
[final] ).
cnf(c_0_78,negated_conjecture,
t(u11r4(exists),u11r5(exists)),
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[final] ).
cnf(c_0_79,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f2(X4)
| ~ t(u10r4(X4),X1)
| ~ t(u10r4(X4),X2)
| ~ t(u10r4(X4),X3) ),
clause_27,
[final] ).
cnf(c_0_80,negated_conjecture,
t(u10r4(exists),u10r5(exists)),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_81,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ f1(X4)
| ~ t(u9r4(X4),X1)
| ~ t(u9r4(X4),X2)
| ~ t(u9r4(X4),X3) ),
clause_17,
[final] ).
cnf(c_0_82,negated_conjecture,
t(u9r4(exists),u9r5(exists)),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_83,plain,
( r2least(X1)
| equalish(X2,u11r4(X1))
| ~ f3(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_84,plain,
( r2least(X1)
| equalish(X2,u10r4(X1))
| ~ f2(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_75]),
[final] ).
cnf(c_0_85,plain,
( r2least(X1)
| equalish(X2,u9r4(X1))
| ~ f1(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_76]),
[final] ).
cnf(c_0_86,negated_conjecture,
( equalish(X1,u11r5(exists))
| equalish(X2,u11r5(exists))
| equalish(X1,X2)
| ~ t(u11r4(exists),X2)
| ~ t(u11r4(exists),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_68])]),
[final] ).
cnf(c_0_87,negated_conjecture,
( equalish(X1,u10r5(exists))
| equalish(X2,u10r5(exists))
| equalish(X1,X2)
| ~ t(u10r4(exists),X2)
| ~ t(u10r4(exists),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_70])]),
[final] ).
cnf(c_0_88,negated_conjecture,
( equalish(X1,u9r5(exists))
| equalish(X2,u9r5(exists))
| equalish(X1,X2)
| ~ t(u9r4(exists),X2)
| ~ t(u9r4(exists),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_72])]),
[final] ).
cnf(c_0_89,negated_conjecture,
~ g(exists),
clause_2,
[final] ).
cnf(c_0_90,axiom,
( g(X1)
| ~ r2least(X1) ),
clause_50,
[final] ).
cnf(c_0_91,axiom,
( f3(X1)
| t(X2,u11r3(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_44,
[final] ).
cnf(c_0_92,axiom,
( e(u11r5(X1))
| ~ f3(X1) ),
clause_35,
[final] ).
cnf(c_0_93,axiom,
( f3(X1)
| t(X2,u11r1(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_42,
[final] ).
cnf(c_0_94,axiom,
( f3(X1)
| t(X2,u11r2(X2,X1))
| ~ r3(X1,X2)
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_43,
[final] ).
cnf(c_0_95,axiom,
( f2(X1)
| t(X2,u10r3(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_34,
[final] ).
cnf(c_0_96,axiom,
( d(u10r5(X1))
| ~ f2(X1) ),
clause_25,
[final] ).
cnf(c_0_97,axiom,
( f2(X1)
| t(X2,u10r1(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_32,
[final] ).
cnf(c_0_98,axiom,
( r(X1,u14r1(X1))
| ~ r2least(X1) ),
clause_52,
[final] ).
cnf(c_0_99,plain,
( r2least(X1)
| equalish(u9r4(X1),u11r4(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_76]),
[final] ).
cnf(c_0_100,axiom,
( r(X1,u14r2(X1))
| ~ r2least(X1) ),
clause_53,
[final] ).
cnf(c_0_101,plain,
( r2least(X1)
| equalish(u10r4(X1),u11r4(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_75]),
[final] ).
cnf(c_0_102,axiom,
( f2(X1)
| t(X2,u10r2(X2,X1))
| ~ r2(X1,X2)
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_33,
[final] ).
cnf(c_0_103,plain,
( r2least(X1)
| equalish(u9r4(X1),u10r4(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_76]),
[final] ).
cnf(c_0_104,plain,
( r2least(X1)
| equalish(u11r4(X1),u10r4(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_74]),
[final] ).
cnf(c_0_105,plain,
( r2least(X1)
| equalish(u10r4(X1),u9r4(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_75]),
[final] ).
cnf(c_0_106,plain,
( r2least(X1)
| equalish(u11r4(X1),u9r4(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_74]),
[final] ).
cnf(c_0_107,plain,
( r2least(X1)
| equalish(u11r4(X1),u11r4(X1))
| ~ f3(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_74]),
[final] ).
cnf(c_0_108,axiom,
( f1(X1)
| t(X2,u9r3(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_24,
[final] ).
cnf(c_0_109,axiom,
( c(u9r5(X1))
| ~ f1(X1) ),
clause_15,
[final] ).
cnf(c_0_110,plain,
( r2least(X1)
| equalish(u10r4(X1),u10r4(X1))
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_75]),
[final] ).
cnf(c_0_111,plain,
( r2least(X1)
| equalish(u9r4(X1),u9r4(X1))
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_76]),
[final] ).
cnf(c_0_112,axiom,
( f1(X1)
| t(X2,u9r1(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_22,
[final] ).
cnf(c_0_113,axiom,
( f1(X1)
| t(X2,u9r2(X2,X1))
| ~ r1(X1,X2)
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_23,
[final] ).
cnf(c_0_114,axiom,
( ~ d(X1)
| ~ e(X1) ),
clause_11,
[final] ).
cnf(c_0_115,axiom,
( ~ c(X1)
| ~ d(X1) ),
clause_10,
[final] ).
cnf(c_0_116,axiom,
( ~ c(X1)
| ~ e(X1) ),
clause_9,
[final] ).
cnf(c_0_117,negated_conjecture,
( equalish(u11r5(exists),u11r5(exists))
| equalish(X1,u11r5(exists))
| ~ t(u11r4(exists),X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_78]) ).
cnf(c_0_118,negated_conjecture,
( equalish(u10r5(exists),u10r5(exists))
| equalish(X1,u10r5(exists))
| ~ t(u10r4(exists),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_80]) ).
cnf(c_0_119,negated_conjecture,
( equalish(u9r5(exists),u9r5(exists))
| equalish(X1,u9r5(exists))
| ~ t(u9r4(exists),X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_82]) ).
cnf(c_0_120,negated_conjecture,
~ r2least(exists),
inference(spm,[status(thm)],[c_0_89,c_0_90]),
[final] ).
cnf(c_0_121,plain,
( f3(X1)
| t(u11r4(X2),u11r3(u11r4(X2),X1))
| ~ f3(X2)
| ~ r3(X1,u11r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_52]),c_0_92]),
[final] ).
cnf(c_0_122,plain,
( f3(X1)
| t(u11r4(X2),u11r1(u11r4(X2),X1))
| ~ f3(X2)
| ~ r3(X1,u11r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_52]),c_0_92]),
[final] ).
cnf(c_0_123,plain,
( f3(X1)
| t(u11r4(X2),u11r2(u11r4(X2),X1))
| ~ f3(X2)
| ~ r3(X1,u11r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_52]),c_0_92]),
[final] ).
cnf(c_0_124,plain,
( f2(X1)
| t(u10r4(X2),u10r3(u10r4(X2),X1))
| ~ f2(X2)
| ~ r2(X1,u10r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_56]),c_0_96]),
[final] ).
cnf(c_0_125,plain,
( f2(X1)
| t(u10r4(X2),u10r1(u10r4(X2),X1))
| ~ f2(X2)
| ~ r2(X1,u10r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_56]),c_0_96]),
[final] ).
cnf(c_0_126,plain,
( equalish(u9r4(X1),u11r4(X1))
| r(X1,u14r1(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]),
[final] ).
cnf(c_0_127,plain,
( equalish(u9r4(X1),u11r4(X1))
| r(X1,u14r2(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_99]),
[final] ).
cnf(c_0_128,plain,
( equalish(u10r4(X1),u11r4(X1))
| r(X1,u14r1(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_101]),
[final] ).
cnf(c_0_129,plain,
( equalish(u10r4(X1),u11r4(X1))
| r(X1,u14r2(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]),
[final] ).
cnf(c_0_130,plain,
( f2(X1)
| t(u10r4(X2),u10r2(u10r4(X2),X1))
| ~ f2(X2)
| ~ r2(X1,u10r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_56]),c_0_96]),
[final] ).
cnf(c_0_131,plain,
( equalish(u9r4(X1),u10r4(X1))
| r(X1,u14r1(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_103]),
[final] ).
cnf(c_0_132,plain,
( equalish(u9r4(X1),u10r4(X1))
| r(X1,u14r2(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_103]),
[final] ).
cnf(c_0_133,plain,
( equalish(u11r4(X1),u10r4(X1))
| r(X1,u14r1(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_104]),
[final] ).
cnf(c_0_134,plain,
( equalish(u11r4(X1),u10r4(X1))
| r(X1,u14r2(X1))
| ~ f3(X1)
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_104]),
[final] ).
cnf(c_0_135,plain,
( equalish(u10r4(X1),u9r4(X1))
| r(X1,u14r1(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_105]),
[final] ).
cnf(c_0_136,plain,
( equalish(u10r4(X1),u9r4(X1))
| r(X1,u14r2(X1))
| ~ f2(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_105]),
[final] ).
cnf(c_0_137,plain,
( equalish(u11r4(X1),u9r4(X1))
| r(X1,u14r1(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_106]),
[final] ).
cnf(c_0_138,plain,
( equalish(u11r4(X1),u9r4(X1))
| r(X1,u14r2(X1))
| ~ f3(X1)
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_106]),
[final] ).
cnf(c_0_139,plain,
( equalish(u11r4(X1),u11r4(X1))
| r(X1,u14r1(X1))
| ~ f3(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_107]),
[final] ).
cnf(c_0_140,plain,
( equalish(u11r4(X1),u11r4(X1))
| r(X1,u14r2(X1))
| ~ f3(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_107]),
[final] ).
cnf(c_0_141,plain,
( f1(X1)
| t(u9r4(X2),u9r3(u9r4(X2),X1))
| ~ f1(X2)
| ~ r1(X1,u9r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_59]),c_0_109]),
[final] ).
cnf(c_0_142,plain,
( equalish(u10r4(X1),u10r4(X1))
| r(X1,u14r1(X1))
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_110]),
[final] ).
cnf(c_0_143,plain,
( equalish(u10r4(X1),u10r4(X1))
| r(X1,u14r2(X1))
| ~ f2(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_110]),
[final] ).
cnf(c_0_144,plain,
( equalish(u9r4(X1),u9r4(X1))
| r(X1,u14r1(X1))
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_111]),
[final] ).
cnf(c_0_145,plain,
( equalish(u9r4(X1),u9r4(X1))
| r(X1,u14r2(X1))
| ~ f1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_111]),
[final] ).
cnf(c_0_146,plain,
( f1(X1)
| t(u9r4(X2),u9r1(u9r4(X2),X1))
| ~ f1(X2)
| ~ r1(X1,u9r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_59]),c_0_109]),
[final] ).
cnf(c_0_147,plain,
( f1(X1)
| t(u9r4(X2),u9r2(u9r4(X2),X1))
| ~ f1(X2)
| ~ r1(X1,u9r4(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_59]),c_0_109]),
[final] ).
cnf(c_0_148,plain,
( ~ f2(X1)
| ~ e(u10r5(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_96]),
[final] ).
cnf(c_0_149,plain,
( ~ f2(X1)
| ~ c(u10r5(X1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_96]),
[final] ).
cnf(c_0_150,plain,
( ~ f3(X1)
| ~ c(u11r5(X1)) ),
inference(spm,[status(thm)],[c_0_116,c_0_92]),
[final] ).
cnf(c_0_151,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r3(X2,X1),u11r1(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_40,
[final] ).
cnf(c_0_152,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r3(X2,X1),u11r2(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_41,
[final] ).
cnf(c_0_153,axiom,
( f3(X1)
| ~ r3(X1,X2)
| ~ equalish(u11r2(X2,X1),u11r1(X2,X1))
| ~ t3(X2,X3)
| ~ e(X3) ),
clause_39,
[final] ).
cnf(c_0_154,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r3(X2,X1),u10r1(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_30,
[final] ).
cnf(c_0_155,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r3(X2,X1),u10r2(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_31,
[final] ).
cnf(c_0_156,axiom,
( f2(X1)
| ~ r2(X1,X2)
| ~ equalish(u10r2(X2,X1),u10r1(X2,X1))
| ~ t2(X2,X3)
| ~ d(X3) ),
clause_29,
[final] ).
cnf(c_0_157,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r3(X2,X1),u9r1(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_20,
[final] ).
cnf(c_0_158,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r3(X2,X1),u9r2(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_21,
[final] ).
cnf(c_0_159,axiom,
( f1(X1)
| ~ r1(X1,X2)
| ~ equalish(u9r2(X2,X1),u9r1(X2,X1))
| ~ t1(X2,X3)
| ~ c(X3) ),
clause_19,
[final] ).
cnf(c_0_160,axiom,
( f(X1)
| ~ f1(X1)
| ~ f2(X1)
| ~ f3(X1) ),
clause_48,
[final] ).
cnf(c_0_161,axiom,
( ~ r2least(X1)
| ~ equalish(u14r2(X1),u14r1(X1)) ),
clause_51,
[final] ).
cnf(c_0_162,axiom,
( r2least(X1)
| ~ g(X1) ),
clause_49,
[final] ).
cnf(c_0_163,negated_conjecture,
equalish(u11r5(exists),u11r5(exists)),
inference(spm,[status(thm)],[c_0_117,c_0_78]),
[final] ).
cnf(c_0_164,negated_conjecture,
equalish(u10r5(exists),u10r5(exists)),
inference(spm,[status(thm)],[c_0_118,c_0_80]),
[final] ).
cnf(c_0_165,negated_conjecture,
equalish(u9r5(exists),u9r5(exists)),
inference(spm,[status(thm)],[c_0_119,c_0_82]),
[final] ).
cnf(c_0_166,negated_conjecture,
equalish(u9r4(exists),u11r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_99]),c_0_68]),c_0_72])]),
[final] ).
cnf(c_0_167,negated_conjecture,
equalish(u10r4(exists),u11r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_101]),c_0_68]),c_0_70])]),
[final] ).
cnf(c_0_168,negated_conjecture,
equalish(u9r4(exists),u10r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_103]),c_0_70]),c_0_72])]),
[final] ).
cnf(c_0_169,negated_conjecture,
equalish(u11r4(exists),u10r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_104]),c_0_68]),c_0_70])]),
[final] ).
cnf(c_0_170,negated_conjecture,
equalish(u10r4(exists),u9r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_105]),c_0_70]),c_0_72])]),
[final] ).
cnf(c_0_171,negated_conjecture,
equalish(u11r4(exists),u9r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_106]),c_0_68]),c_0_72])]),
[final] ).
cnf(c_0_172,negated_conjecture,
equalish(u11r4(exists),u11r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_107]),c_0_68])]),
[final] ).
cnf(c_0_173,negated_conjecture,
equalish(u10r4(exists),u10r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_110]),c_0_70])]),
[final] ).
cnf(c_0_174,negated_conjecture,
equalish(u9r4(exists),u9r4(exists)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_111]),c_0_72])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS011-1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:34:05 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Satisfiable for theBenchmark.p
% 1.29/1.73 % SZS output start Saturation
% See solution above
% 1.29/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------