%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS113+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 04:36:22 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 118 ( 6 equ)
% Maximal formula atoms : 35 ( 3 avg)
% Number of connectives : 146 ( 61 ~; 58 |; 19 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 2 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X4] :
( cp(X4)
<=> ~ ? [X7] : ra_Px1(X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cpxcomp(X4)
<=> ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_8,axiom,
! [X4,X7] :
( rs(X4,X7)
=> rr(X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5,X6] :
( ( rr(X4,X5)
& rr(X4,X6) )
=> X5 = X6 )
& ? [X7] :
( rr(X4,X7)
& ca_Vx2(X7) )
& ? [X7] :
( rs(X4,X7)
& cp(X7) )
& cpxcomp(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_6,axiom,
! [X4,X7] :
( rinvS(X4,X7)
<=> rs(X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Vx2(X4)
<=> ! [X7] :
( rinvS(X4,X7)
=> cp(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_21_22376),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(c_0_7,plain,
! [X117,X118,X119] :
( ( ~ cp(X117)
| ~ ra_Px1(X117,X118) )
& ( ra_Px1(X119,esk5_1(X119))
| cp(X119) ) ),
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_3])])])])]) ).
fof(c_0_8,plain,
! [X121,X123,X124] :
( ( ~ cpxcomp(X121)
| ra_Px1(X121,esk6_1(X121)) )
& ( ~ ra_Px1(X123,X124)
| cpxcomp(X123) ) ),
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_9,plain,
! [X131,X132] :
( ~ rs(X131,X132)
| rr(X131,X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])]) ).
fof(c_0_10,plain,
! [X107,X108,X109,X112,X115,X116] :
( ( ~ rr(X107,X108)
| ~ rr(X107,X109)
| X108 = X109
| ~ cUnsatisfiable(X107) )
& ( rr(X107,esk1_1(X107))
| ~ cUnsatisfiable(X107) )
& ( ca_Vx2(esk1_1(X107))
| ~ cUnsatisfiable(X107) )
& ( rs(X107,esk2_1(X107))
| ~ cUnsatisfiable(X107) )
& ( cp(esk2_1(X107))
| ~ cUnsatisfiable(X107) )
& ( cpxcomp(X107)
| ~ cUnsatisfiable(X107) )
& ( rr(X112,esk3_1(X112))
| ~ rr(X112,X115)
| ~ ca_Vx2(X115)
| ~ rs(X112,X116)
| ~ cp(X116)
| ~ cpxcomp(X112)
| cUnsatisfiable(X112) )
& ( rr(X112,esk4_1(X112))
| ~ rr(X112,X115)
| ~ ca_Vx2(X115)
| ~ rs(X112,X116)
| ~ cp(X116)
| ~ cpxcomp(X112)
| cUnsatisfiable(X112) )
& ( esk3_1(X112) != esk4_1(X112)
| ~ rr(X112,X115)
| ~ ca_Vx2(X115)
| ~ rs(X112,X116)
| ~ cp(X116)
| ~ cpxcomp(X112)
| cUnsatisfiable(X112) ) ),
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_2])])])])])]) ).
fof(c_0_11,plain,
! [X129,X130] :
( ( ~ rinvS(X129,X130)
| rs(X130,X129) )
& ( ~ rs(X130,X129)
| rinvS(X129,X130) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
cnf(c_0_12,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ra_Px1(X1,esk6_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( rr(X1,X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( rs(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X125,X126,X127] :
( ( ~ ca_Vx2(X125)
| ~ rinvS(X125,X126)
| cp(X126) )
& ( rinvS(X127,esk7_1(X127))
| ca_Vx2(X127) )
& ( ~ cp(esk7_1(X127))
| ca_Vx2(X127) ) ),
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_5])])])])])]) ).
cnf(c_0_17,plain,
( rinvS(X2,X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( cpxcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( cp(X2)
| ~ ca_Vx2(X1)
| ~ rinvS(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( rinvS(esk2_1(X1),X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_24,plain,
( ~ cp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( X1 = esk2_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,plain,
( ~ ca_Vx2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( esk2_1(X1) = esk1_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
( ca_Vx2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(split_conjunct,[status(thm)],[axiom_7]) ).
cnf(c_0_31,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[c_0_30,c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS113+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 : n010.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 20:37:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------