%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS103+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n010.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 04:36:21 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.69s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 34
% Syntax : Number of formulae : 170 ( 12 unt; 0 def)
% Number of atoms : 510 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 454 ( 114 ~; 307 |; 9 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 99 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_15,axiom,
! [X1] :
( cTest(X1)
=> ( cminus3(X1)
| cplus5(X1)
| cminus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_3,axiom,
! [X1] :
( cTest(X1)
=> ( cminus3(X1)
| cminus5(X1)
| cminus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_9,axiom,
! [X1] :
( cTest(X1)
=> ( cminus9(X1)
| cminus4(X1)
| cminus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_31,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cminus8(X1)
| cplus9(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(axiom_20,axiom,
! [X1] :
( cTest(X1)
=> ( cminus3(X1)
| cplus2(X1)
| cplus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_53,axiom,
! [X1] :
~ ( cplus5(X1)
& cminus5(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(axiom_47,axiom,
cTest(i2003_11_14_17_20_46476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(axiom_28,axiom,
! [X1] :
( cTest(X1)
=> ( cminus9(X1)
| cplus3(X1)
| cplus4(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(axiom_25,axiom,
! [X1] :
( cTest(X1)
=> ( cplus3(X1)
| cplus4(X1)
| cplus9(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(axiom_44,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cplus1(X1)
| cminus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_5,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cplus6(X1)
| cplus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_49,axiom,
! [X1] :
~ ( cminus9(X1)
& cplus9(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(axiom_48,axiom,
! [X1] :
~ ( cminus8(X1)
& cplus8(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(axiom_37,axiom,
! [X1] :
( cTest(X1)
=> ( cminus2(X1)
| cminus3(X1)
| cplus1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(axiom_56,axiom,
! [X1] :
~ ( cplus6(X1)
& cminus6(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(axiom_52,axiom,
! [X1] :
~ ( cplus3(X1)
& cminus3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(axiom_8,axiom,
! [X1] :
( cTest(X1)
=> ( cminus7(X1)
| cplus9(X1)
| cminus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_34,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cplus9(X1)
| cplus7(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(axiom_50,axiom,
! [X1] :
~ ( cplus4(X1)
& cminus4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(axiom_54,axiom,
! [X1] :
~ ( cminus2(X1)
& cplus2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(axiom_18,axiom,
! [X1] :
( cTest(X1)
=> ( cminus2(X1)
| cplus6(X1)
| cplus9(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_51,axiom,
! [X1] :
~ ( cminus7(X1)
& cplus7(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(axiom_43,axiom,
! [X1] :
( cTest(X1)
=> ( cminus9(X1)
| cplus1(X1)
| cminus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(axiom_38,axiom,
! [X1] :
( cTest(X1)
=> ( cplus3(X1)
| cplus4(X1)
| cplus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(axiom_2,axiom,
! [X1] :
( cTest(X1)
=> ( cplus1(X1)
| cplus9(X1)
| cminus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_33,axiom,
! [X1] :
( cTest(X1)
=> ( cminus9(X1)
| cminus2(X1)
| cplus7(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
fof(axiom_22,axiom,
! [X1] :
( cTest(X1)
=> ( cminus2(X1)
| cplus6(X1)
| cminus7(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_36,axiom,
! [X1] :
( cTest(X1)
=> ( cminus1(X1)
| cplus4(X1)
| cplus2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(axiom_55,axiom,
! [X1] :
~ ( cminus1(X1)
& cplus1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(axiom_21,axiom,
! [X1] :
( cTest(X1)
=> ( cminus2(X1)
| cplus4(X1)
| cminus6(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_4,axiom,
! [X1] :
( cTest(X1)
=> ( cminus3(X1)
| cplus7(X1)
| cplus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_29,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cminus3(X1)
| cminus7(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_45,axiom,
! [X1] :
( cTest(X1)
=> ( cminus4(X1)
| cplus2(X1)
| cplus8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(axiom_35,axiom,
! [X1] :
( cTest(X1)
=> ( cminus9(X1)
| cminus2(X1)
| cplus3(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(c_0_34,plain,
! [X73] :
( ~ cTest(X73)
| cminus3(X73)
| cplus5(X73)
| cminus8(X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).
fof(c_0_35,plain,
! [X61] :
( ~ cTest(X61)
| cminus3(X61)
| cminus5(X61)
| cminus8(X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
fof(c_0_36,plain,
! [X67] :
( ~ cTest(X67)
| cminus9(X67)
| cminus4(X67)
| cminus8(X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])]) ).
fof(c_0_37,plain,
! [X89] :
( ~ cTest(X89)
| cminus4(X89)
| cminus8(X89)
| cplus9(X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_31])]) ).
fof(c_0_38,plain,
! [X78] :
( ~ cTest(X78)
| cminus3(X78)
| cplus2(X78)
| cplus8(X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_20])]) ).
fof(c_0_39,plain,
! [X110] :
( ~ cplus5(X110)
| ~ cminus5(X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_53])]) ).
cnf(c_0_40,plain,
( cminus3(X1)
| cplus5(X1)
| cminus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
cTest(i2003_11_14_17_20_46476),
inference(split_conjunct,[status(thm)],[axiom_47]) ).
cnf(c_0_42,plain,
( cminus3(X1)
| cminus5(X1)
| cminus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,plain,
! [X86] :
( ~ cTest(X86)
| cminus9(X86)
| cplus3(X86)
| cplus4(X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_28])]) ).
fof(c_0_44,plain,
! [X83] :
( ~ cTest(X83)
| cplus3(X83)
| cplus4(X83)
| cplus9(X83) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_25])]) ).
fof(c_0_45,plain,
! [X102] :
( ~ cTest(X102)
| cminus4(X102)
| cplus1(X102)
| cminus6(X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_44])]) ).
fof(c_0_46,plain,
! [X63] :
( ~ cTest(X63)
| cminus4(X63)
| cplus6(X63)
| cplus8(X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
fof(c_0_47,plain,
! [X106] :
( ~ cminus9(X106)
| ~ cplus9(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_49])]) ).
cnf(c_0_48,plain,
( cminus9(X1)
| cminus4(X1)
| cminus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
( cminus4(X1)
| cminus8(X1)
| cplus9(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X105] :
( ~ cminus8(X105)
| ~ cplus8(X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_48])]) ).
cnf(c_0_51,plain,
( cminus3(X1)
| cplus2(X1)
| cplus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
( ~ cplus5(X1)
| ~ cminus5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
( cplus5(i2003_11_14_17_20_46476)
| cminus8(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_54,plain,
( cminus8(i2003_11_14_17_20_46476)
| cminus5(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
fof(c_0_55,plain,
! [X95] :
( ~ cTest(X95)
| cminus2(X95)
| cminus3(X95)
| cplus1(X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_37])]) ).
cnf(c_0_56,plain,
( cminus9(X1)
| cplus3(X1)
| cplus4(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( cplus3(X1)
| cplus4(X1)
| cplus9(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_58,plain,
! [X113] :
( ~ cplus6(X113)
| ~ cminus6(X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_56])]) ).
cnf(c_0_59,plain,
( cminus4(X1)
| cplus1(X1)
| cminus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
( cminus4(X1)
| cplus6(X1)
| cplus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
( ~ cminus9(X1)
| ~ cplus9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,plain,
( cminus9(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476)
| cminus8(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]) ).
cnf(c_0_63,plain,
( cminus4(i2003_11_14_17_20_46476)
| cminus8(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
fof(c_0_64,plain,
! [X109] :
( ~ cplus3(X109)
| ~ cminus3(X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_52])]) ).
cnf(c_0_65,plain,
( ~ cminus8(X1)
| ~ cplus8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_66,plain,
( cplus2(i2003_11_14_17_20_46476)
| cplus8(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_51,c_0_41]) ).
cnf(c_0_67,plain,
( cminus8(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
fof(c_0_68,plain,
! [X66] :
( ~ cTest(X66)
| cminus7(X66)
| cplus9(X66)
| cminus6(X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_69,plain,
! [X92] :
( ~ cTest(X92)
| cminus4(X92)
| cplus9(X92)
| cplus7(X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_34])]) ).
cnf(c_0_70,plain,
( cminus2(X1)
| cminus3(X1)
| cplus1(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_71,plain,
! [X107] :
( ~ cplus4(X107)
| ~ cminus4(X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_50])]) ).
cnf(c_0_72,plain,
( cplus4(i2003_11_14_17_20_46476)
| cminus9(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
cnf(c_0_73,plain,
( cplus4(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_74,plain,
( ~ cplus6(X1)
| ~ cminus6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_75,plain,
( cminus4(i2003_11_14_17_20_46476)
| cminus6(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_59,c_0_41]) ).
cnf(c_0_76,plain,
( cplus6(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476)
| cplus8(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_60,c_0_41]) ).
cnf(c_0_77,plain,
( cminus4(i2003_11_14_17_20_46476)
| cminus8(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
fof(c_0_78,plain,
! [X111] :
( ~ cminus2(X111)
| ~ cplus2(X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_54])]) ).
cnf(c_0_79,plain,
( ~ cplus3(X1)
| ~ cminus3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_80,plain,
( cplus2(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
fof(c_0_81,plain,
! [X76] :
( ~ cTest(X76)
| cminus2(X76)
| cplus6(X76)
| cplus9(X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])]) ).
cnf(c_0_82,plain,
( cminus7(X1)
| cplus9(X1)
| cminus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_83,plain,
! [X108] :
( ~ cminus7(X108)
| ~ cplus7(X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_51])]) ).
cnf(c_0_84,plain,
( cminus4(X1)
| cplus9(X1)
| cplus7(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_85,plain,
! [X101] :
( ~ cTest(X101)
| cminus9(X101)
| cplus1(X101)
| cminus6(X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_43])]) ).
fof(c_0_86,plain,
! [X96] :
( ~ cTest(X96)
| cplus3(X96)
| cplus4(X96)
| cplus6(X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_38])]) ).
cnf(c_0_87,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_70,c_0_41]) ).
cnf(c_0_88,plain,
( ~ cplus4(X1)
| ~ cminus4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_89,plain,
( cplus4(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_72]),c_0_73]) ).
cnf(c_0_90,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476)
| ~ cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_91,plain,
( cplus6(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_77]) ).
fof(c_0_92,plain,
! [X60] :
( ~ cTest(X60)
| cplus1(X60)
| cplus9(X60)
| cminus6(X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_93,plain,
( ~ cminus2(X1)
| ~ cplus2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_94,plain,
( cplus2(i2003_11_14_17_20_46476)
| ~ cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_95,plain,
( cminus2(X1)
| cplus6(X1)
| cplus9(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_96,plain,
( cminus7(i2003_11_14_17_20_46476)
| cminus6(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_82,c_0_41]) ).
cnf(c_0_97,plain,
( ~ cminus7(X1)
| ~ cplus7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_98,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus7(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_84,c_0_41]) ).
fof(c_0_99,plain,
! [X91] :
( ~ cTest(X91)
| cminus9(X91)
| cminus2(X91)
| cplus7(X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_33])]) ).
cnf(c_0_100,plain,
( cminus9(X1)
| cplus1(X1)
| cminus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_101,plain,
( cplus3(X1)
| cplus4(X1)
| cplus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476)
| ~ cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_79,c_0_87]) ).
cnf(c_0_103,plain,
( cplus3(i2003_11_14_17_20_46476)
| ~ cminus4(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_104,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_105,plain,
( cplus1(X1)
| cplus9(X1)
| cminus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_106,plain,
( ~ cminus2(i2003_11_14_17_20_46476)
| ~ cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_95,c_0_41]) ).
cnf(c_0_108,plain,
( cminus7(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476)
| ~ cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_74,c_0_96]) ).
cnf(c_0_109,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476)
| ~ cminus7(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,plain,
( cminus9(X1)
| cminus2(X1)
| cplus7(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
fof(c_0_111,plain,
! [X80] :
( ~ cTest(X80)
| cminus2(X80)
| cplus6(X80)
| cminus7(X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_22])]) ).
fof(c_0_112,plain,
! [X94] :
( ~ cTest(X94)
| cminus1(X94)
| cplus4(X94)
| cplus2(X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_36])]) ).
cnf(c_0_113,plain,
( cminus9(i2003_11_14_17_20_46476)
| cminus6(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_100,c_0_41]) ).
cnf(c_0_114,plain,
( cplus4(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_101,c_0_41]) ).
cnf(c_0_115,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_116,plain,
( cminus6(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_105,c_0_41]) ).
cnf(c_0_117,plain,
( cplus6(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476)
| ~ cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_91]),c_0_109]) ).
cnf(c_0_119,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus9(i2003_11_14_17_20_46476)
| cplus7(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_110,c_0_41]) ).
cnf(c_0_120,plain,
( cminus2(X1)
| cplus6(X1)
| cminus7(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_121,plain,
! [X112] :
( ~ cminus1(X112)
| ~ cplus1(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_55])]) ).
cnf(c_0_122,plain,
( cminus1(X1)
| cplus4(X1)
| cplus2(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_123,plain,
( cminus9(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476)
| ~ cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_74,c_0_113]) ).
cnf(c_0_124,plain,
( cplus3(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_114]),c_0_91]) ).
cnf(c_0_125,plain,
( cplus1(i2003_11_14_17_20_46476)
| ~ cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_106,c_0_115]) ).
cnf(c_0_126,plain,
( cplus9(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476)
| ~ cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_74,c_0_116]) ).
cnf(c_0_127,plain,
( cplus6(i2003_11_14_17_20_46476)
| cplus9(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_103]),c_0_118]) ).
fof(c_0_128,plain,
! [X79] :
( ~ cTest(X79)
| cminus2(X79)
| cplus4(X79)
| cminus6(X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_21])]) ).
cnf(c_0_129,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus9(i2003_11_14_17_20_46476)
| ~ cminus7(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_97,c_0_119]) ).
cnf(c_0_130,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus7(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_120,c_0_41]) ).
cnf(c_0_131,plain,
( ~ cminus1(X1)
| ~ cplus1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_132,plain,
( cplus2(i2003_11_14_17_20_46476)
| cminus1(i2003_11_14_17_20_46476)
| cplus4(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_122,c_0_41]) ).
cnf(c_0_133,plain,
( cminus9(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_134,plain,
( cplus9(i2003_11_14_17_20_46476)
| cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_135,plain,
! [X62] :
( ~ cTest(X62)
| cminus3(X62)
| cplus7(X62)
| cplus8(X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_136,plain,
( cminus2(X1)
| cplus4(X1)
| cminus6(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_137,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus9(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_138,plain,
( cplus2(i2003_11_14_17_20_46476)
| cplus4(i2003_11_14_17_20_46476)
| ~ cplus1(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_139,plain,
cplus1(i2003_11_14_17_20_46476),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_133]),c_0_134]) ).
cnf(c_0_140,plain,
( cminus3(X1)
| cplus7(X1)
| cplus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
fof(c_0_141,plain,
! [X87] :
( ~ cTest(X87)
| cminus4(X87)
| cminus3(X87)
| cminus7(X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_29])]) ).
fof(c_0_142,plain,
! [X103] :
( ~ cTest(X103)
| cminus4(X103)
| cplus2(X103)
| cplus8(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_45])]) ).
cnf(c_0_143,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus4(i2003_11_14_17_20_46476)
| cminus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_136,c_0_41]) ).
cnf(c_0_144,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus6(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_137]),c_0_127]) ).
cnf(c_0_145,plain,
( cplus2(i2003_11_14_17_20_46476)
| cplus4(i2003_11_14_17_20_46476) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]) ).
cnf(c_0_146,plain,
( cplus8(i2003_11_14_17_20_46476)
| cplus7(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_140,c_0_41]) ).
cnf(c_0_147,plain,
( cminus4(X1)
| cminus3(X1)
| cminus7(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_148,plain,
( cminus4(X1)
| cplus2(X1)
| cplus8(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_149,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus4(i2003_11_14_17_20_46476)
| ~ cplus6(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_74,c_0_143]) ).
cnf(c_0_150,plain,
cplus6(i2003_11_14_17_20_46476),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_144]),c_0_124]) ).
cnf(c_0_151,plain,
( cplus4(i2003_11_14_17_20_46476)
| ~ cminus2(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_93,c_0_145]) ).
cnf(c_0_152,plain,
( cplus8(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476)
| ~ cminus7(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_97,c_0_146]) ).
cnf(c_0_153,plain,
( cminus7(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_147,c_0_41]) ).
fof(c_0_154,plain,
! [X93] :
( ~ cTest(X93)
| cminus9(X93)
| cminus2(X93)
| cplus3(X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_35])]) ).
cnf(c_0_155,plain,
( cplus2(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476)
| cplus8(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_148,c_0_41]) ).
cnf(c_0_156,plain,
cplus4(i2003_11_14_17_20_46476),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150])]),c_0_151]) ).
cnf(c_0_157,plain,
( cminus4(i2003_11_14_17_20_46476)
| cplus8(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_158,plain,
( cminus9(X1)
| cminus2(X1)
| cplus3(X1)
| ~ cTest(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_159,plain,
( cplus2(i2003_11_14_17_20_46476)
| cminus4(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_155]),c_0_77]) ).
cnf(c_0_160,plain,
~ cminus4(i2003_11_14_17_20_46476),
inference(spm,[status(thm)],[c_0_88,c_0_156]) ).
cnf(c_0_161,plain,
( cminus4(i2003_11_14_17_20_46476)
| cminus3(i2003_11_14_17_20_46476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_157]),c_0_77]) ).
cnf(c_0_162,plain,
( cminus2(i2003_11_14_17_20_46476)
| cminus9(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_158,c_0_41]) ).
cnf(c_0_163,plain,
cplus2(i2003_11_14_17_20_46476),
inference(sr,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_164,plain,
cminus3(i2003_11_14_17_20_46476),
inference(sr,[status(thm)],[c_0_161,c_0_160]) ).
cnf(c_0_165,plain,
( cminus2(i2003_11_14_17_20_46476)
| cplus3(i2003_11_14_17_20_46476)
| ~ cplus9(i2003_11_14_17_20_46476) ),
inference(spm,[status(thm)],[c_0_61,c_0_162]) ).
cnf(c_0_166,plain,
cplus9(i2003_11_14_17_20_46476),
inference(sr,[status(thm)],[c_0_118,c_0_160]) ).
cnf(c_0_167,plain,
~ cminus2(i2003_11_14_17_20_46476),
inference(spm,[status(thm)],[c_0_93,c_0_163]) ).
cnf(c_0_168,plain,
~ cplus3(i2003_11_14_17_20_46476),
inference(spm,[status(thm)],[c_0_79,c_0_164]) ).
cnf(c_0_169,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]),c_0_167]),c_0_168]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS103+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.10 % 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
% 0.12/0.30 % Computer : n010.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon May 4 20:37:06 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 1.22/1.69 % Version : CSE_E---1.7
% 1.22/1.69 % Problem : theBenchmark.p
% 1.22/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.69 % SZS output start CNFRefutation
% See solution above
% 1.22/1.70 % Total time : 1.371s
%------------------------------------------------------------------------------