%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS110+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 82 ( 34 ~; 30 |; 13 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 2 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
! [X4] :
( cp(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X4] :
( cpxcomp(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rs(X4,X5)
& ca_Ax2(X5) )
& ! [X5] :
( rs(X4,X5)
=> cpxcomp(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( cp(X4)
& ? [X5] :
( rinvS(X4,X5)
& cp(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_21_12565),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(c_0_5,plain,
! [X162,X163,X164] :
( ( ~ cp(X162)
| ~ ra_Px1(X162,X163) )
& ( ra_Px1(X164,esk3_1(X164))
| cp(X164) ) ),
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_6,plain,
! [X166,X168,X169] :
( ( ~ cpxcomp(X166)
| ra_Px1(X166,esk4_1(X166)) )
& ( ~ ra_Px1(X168,X169)
| cpxcomp(X168) ) ),
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_7,plain,
! [X156,X158,X159,X160] :
( ( rs(X156,esk1_1(X156))
| ~ cUnsatisfiable(X156) )
& ( ca_Ax2(esk1_1(X156))
| ~ cUnsatisfiable(X156) )
& ( ~ rs(X156,X158)
| cpxcomp(X158)
| ~ cUnsatisfiable(X156) )
& ( rs(X159,esk2_1(X159))
| ~ rs(X159,X160)
| ~ ca_Ax2(X160)
| cUnsatisfiable(X159) )
& ( ~ cpxcomp(esk2_1(X159))
| ~ rs(X159,X160)
| ~ ca_Ax2(X160)
| cUnsatisfiable(X159) ) ),
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])])])])])]) ).
cnf(c_0_8,plain,
( ~ cp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ra_Px1(X1,esk4_1(X1))
| ~ cpxcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( cpxcomp(X2)
| ~ rs(X1,X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( cpxcomp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,plain,
! [X170,X172,X173] :
( ( cp(X170)
| ~ ca_Ax2(X170) )
& ( rinvS(X170,esk5_1(X170))
| ~ ca_Ax2(X170) )
& ( cp(esk5_1(X170))
| ~ ca_Ax2(X170) )
& ( ~ cp(X172)
| ~ rinvS(X172,X173)
| ~ cp(X173)
| ca_Ax2(X172) ) ),
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_15,plain,
( ~ cp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( cp(X1)
| ~ ca_Ax2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ca_Ax2(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
cUnsatisfiable(i2003_11_14_17_21_12565),
inference(split_conjunct,[status(thm)],[axiom_12]) ).
cnf(c_0_19,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS110+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n026.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 20:38:23 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------