%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS116+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 : n015.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 04:36:23 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.72s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 71 ( 5 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 164 ( 5 avg)
% Number of connectives : 495 ( 195 ~; 224 |; 54 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-1 aty)
% Number of variables : 124 ( 4 sgn 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_14,axiom,
! [X1,X2] :
( rinvR(X1,X2)
<=> rr(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_8,axiom,
! [X1] :
( ca_Vx3(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X1] :
( ca_Vx4(X1)
<=> ? [X2] :
( rp(X1,X2)
& cowlThing(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_6,axiom,
! [X1] :
( cc(X1)
<=> ! [X2] :
( rinvR(X1,X2)
=> ca_Vx7(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_10,axiom,
! [X1] :
( ca_Vx5(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_7,axiom,
! [X1] :
( ca_Ax2(X1)
<=> ( ! [X2] :
( rp(X1,X2)
=> ca_Vx3(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx5(X2) )
& ! [X2] :
( rr(X1,X2)
=> cc(X2) )
& ? [X2] :
( rr(X1,X2)
& cowlThing(X2) )
& ? [X2] :
( rp(X1,X2)
& cowlThing(X2) )
& ! [X2] :
( rp(X1,X2)
=> ca_Vx4(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_13,axiom,
! [X1,X2] :
( rinvP(X1,X2)
<=> rp(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_12,axiom,
! [X1] :
( ca_Vx7(X1)
<=> ! [X2] :
( rinvP(X1,X2)
=> ca_Vx6(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_15,axiom,
! [X1,X2] :
( rinvS(X1,X2)
<=> rs(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ? [X2] :
( rs(X1,X2)
& ca_Ax2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_11,axiom,
! [X1] :
( ca_Vx6(X1)
<=> ! [X2] :
( rinvS(X1,X2)
=> caxcomp(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_4,axiom,
! [X1] :
( ca(X1)
<=> ~ ? [X2] : ra_Px1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X1] :
( caxcomp(X1)
<=> ? [X3] : ra_Px1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> ca(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_17,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(c_0_16,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_17,plain,
! [X95,X96] :
( ( ~ rinvR(X95,X96)
| rr(X96,X95) )
& ( ~ rr(X96,X95)
| rinvR(X95,X96) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])]) ).
fof(c_0_18,plain,
! [X73,X75,X76] :
( ( rr(X73,esk11_1(X73))
| ~ ca_Vx3(X73) )
& ( cowlThing(esk11_1(X73))
| ~ ca_Vx3(X73) )
& ( ~ rr(X75,X76)
| ~ cowlThing(X76)
| ca_Vx3(X75) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])])])]) ).
fof(c_0_19,plain,
! [X77,X79,X80] :
( ( rp(X77,esk12_1(X77))
| ~ ca_Vx4(X77) )
& ( cowlThing(esk12_1(X77))
| ~ ca_Vx4(X77) )
& ( ~ rp(X79,X80)
| ~ cowlThing(X80)
| ca_Vx4(X79) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])])])])]) ).
fof(c_0_20,plain,
! [X42] :
( cowlThing(X42)
& ~ cowlNothing(X42) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X55,X56,X57] :
( ( ~ cc(X55)
| ~ rinvR(X55,X56)
| ca_Vx7(X56) )
& ( rinvR(X57,esk4_1(X57))
| cc(X57) )
& ( ~ ca_Vx7(esk4_1(X57))
| cc(X57) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])])])]) ).
cnf(c_0_22,plain,
( rinvR(X2,X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( rr(X1,esk11_1(X1))
| ~ ca_Vx3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X81,X82,X83] :
( ( ~ ca_Vx5(X81)
| ~ rr(X81,X82)
| cc(X82) )
& ( rr(X83,esk13_1(X83))
| ca_Vx5(X83) )
& ( ~ cc(esk13_1(X83))
| ca_Vx5(X83) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])])])])]) ).
cnf(c_0_25,plain,
( ca_Vx4(X1)
| ~ rp(X1,X2)
| ~ cowlThing(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X59,X60,X61,X62,X65,X66,X70,X71] :
( ( ~ rp(X59,X60)
| ca_Vx3(X60)
| ~ ca_Ax2(X59) )
& ( ~ rp(X59,X61)
| ca_Vx5(X61)
| ~ ca_Ax2(X59) )
& ( ~ rr(X59,X62)
| cc(X62)
| ~ ca_Ax2(X59) )
& ( rr(X59,esk5_1(X59))
| ~ ca_Ax2(X59) )
& ( cowlThing(esk5_1(X59))
| ~ ca_Ax2(X59) )
& ( rp(X59,esk6_1(X59))
| ~ ca_Ax2(X59) )
& ( cowlThing(esk6_1(X59))
| ~ ca_Ax2(X59) )
& ( ~ rp(X59,X65)
| ca_Vx4(X65)
| ~ ca_Ax2(X59) )
& ( rp(X66,esk10_1(X66))
| rr(X66,esk9_1(X66))
| rp(X66,esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| rr(X66,esk9_1(X66))
| rp(X66,esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| ~ cc(esk9_1(X66))
| rp(X66,esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| ~ cc(esk9_1(X66))
| rp(X66,esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| rr(X66,esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| rr(X66,esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| ~ cc(esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| ~ cc(esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| rp(X66,esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| rr(X66,esk9_1(X66))
| rp(X66,esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| rr(X66,esk9_1(X66))
| rp(X66,esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| ~ cc(esk9_1(X66))
| rp(X66,esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| ~ cc(esk9_1(X66))
| rp(X66,esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| rr(X66,esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| rr(X66,esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( rp(X66,esk10_1(X66))
| ~ cc(esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) )
& ( ~ ca_Vx4(esk10_1(X66))
| ~ cc(esk9_1(X66))
| ~ ca_Vx5(esk8_1(X66))
| ~ ca_Vx3(esk7_1(X66))
| ~ rr(X66,X70)
| ~ cowlThing(X70)
| ~ rp(X66,X71)
| ~ cowlThing(X71)
| ca_Ax2(X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])])])]) ).
fof(c_0_28,plain,
! [X93,X94] :
( ( ~ rinvP(X93,X94)
| rp(X94,X93) )
& ( ~ rp(X94,X93)
| rinvP(X93,X94) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])]) ).
cnf(c_0_29,plain,
( ca_Vx7(X2)
| ~ cc(X1)
| ~ rinvR(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( rinvR(esk11_1(X1),X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( cc(X2)
| ~ ca_Vx5(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( ca_Vx4(X1)
| ~ rp(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_33,plain,
( rp(X1,esk6_1(X1))
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X89,X90,X91] :
( ( ~ ca_Vx7(X89)
| ~ rinvP(X89,X90)
| ca_Vx6(X90) )
& ( rinvP(X91,esk15_1(X91))
| ca_Vx7(X91) )
& ( ~ ca_Vx6(esk15_1(X91))
| ca_Vx7(X91) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])])])])])]) ).
cnf(c_0_35,plain,
( rinvP(X2,X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( rp(X1,esk12_1(X1))
| ~ ca_Vx4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37,plain,
( ca_Vx7(X1)
| ~ ca_Vx3(X1)
| ~ cc(esk11_1(X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( cc(esk11_1(X1))
| ~ ca_Vx5(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_39,plain,
( ca_Vx3(X2)
| ~ rp(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ca_Vx4(X1)
| ~ ca_Ax2(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( ca_Vx5(X2)
| ~ rp(X1,X2)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_42,plain,
! [X97,X98] :
( ( ~ rinvS(X97,X98)
| rs(X98,X97) )
& ( ~ rs(X98,X97)
| rinvS(X97,X98) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])]) ).
fof(c_0_43,plain,
! [X45] :
( ( rs(X45,esk1_1(X45))
| ~ cUnsatisfiable(X45) )
& ( ca_Ax2(esk1_1(X45))
| ~ cUnsatisfiable(X45) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_44,plain,
( ca_Vx6(X2)
| ~ ca_Vx7(X1)
| ~ rinvP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( rinvP(esk12_1(X1),X1)
| ~ ca_Vx4(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
( ca_Vx7(X1)
| ~ ca_Vx5(X1)
| ~ ca_Vx3(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( ca_Vx3(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_40]) ).
cnf(c_0_48,plain,
( ca_Vx5(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_40]) ).
fof(c_0_49,plain,
! [X85,X86,X87] :
( ( ~ ca_Vx6(X85)
| ~ rinvS(X85,X86)
| caxcomp(X86) )
& ( rinvS(X87,esk14_1(X87))
| ca_Vx6(X87) )
& ( ~ caxcomp(esk14_1(X87))
| ca_Vx6(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])])])])]) ).
cnf(c_0_50,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( ca_Vx6(X1)
| ~ ca_Vx4(X1)
| ~ ca_Vx7(esk12_1(X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
( ca_Vx7(esk12_1(X1))
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
fof(c_0_54,plain,
! [X47,X48,X49] :
( ( ~ ca(X47)
| ~ ra_Px1(X47,X48) )
& ( ra_Px1(X49,esk2_1(X49))
| ca(X49) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])]) ).
fof(c_0_55,plain,
! [X51,X53,X54] :
( ( ~ caxcomp(X51)
| ra_Px1(X51,esk3_1(X51)) )
& ( ~ ra_Px1(X53,X54)
| caxcomp(X53) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])]) ).
cnf(c_0_56,plain,
( caxcomp(X2)
| ~ ca_Vx6(X1)
| ~ rinvS(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( rinvS(esk1_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( ca_Vx6(X1)
| ~ ca_Ax2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_40]) ).
cnf(c_0_59,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_60,plain,
( ~ ca(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ caxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( caxcomp(X1)
| ~ ca_Vx6(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( ca_Vx6(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_64,plain,
! [X44] :
( ~ cUnsatisfiable(X44)
| ca(X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
cnf(c_0_65,plain,
( ~ caxcomp(X1)
| ~ ca(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( caxcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( ca(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(split_conjunct,[status(thm)],[axiom_17]) ).
cnf(c_0_69,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
$false,
inference(sr,[status(thm)],[c_0_68,c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS116+1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:38:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.29/1.72 % Version : CSE_E---1.7
% 1.29/1.72 % Problem : theBenchmark.p
% 1.29/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.72 % SZS output start CNFRefutation
% See solution above
% 1.29/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------