%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS074+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 : n020.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 04:36:17 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 61 ( 23 ~; 20 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rs(X4,X5)
& cp(X5)
& ? [X6] :
( rinvS(X5,X6)
& cp(X6) ) )
& ! [X5] :
( rs(X4,X5)
=> ~ cp(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_2,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rs(X4,X5)
& cp(X5)
& ? [X6] :
( rinvS(X5,X6)
& cp(X6) ) )
& ! [X5] :
( rs(X4,X5)
=> ~ cp(X5) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_3,plain,
! [X130,X133,X134,X135,X136] :
( ( rs(X130,esk1_1(X130))
| ~ cUnsatisfiable(X130) )
& ( cp(esk1_1(X130))
| ~ cUnsatisfiable(X130) )
& ( rinvS(esk1_1(X130),esk2_1(X130))
| ~ cUnsatisfiable(X130) )
& ( cp(esk2_1(X130))
| ~ cUnsatisfiable(X130) )
& ( ~ rs(X130,X133)
| ~ cp(X133)
| ~ cUnsatisfiable(X130) )
& ( rs(X134,esk3_1(X134))
| ~ rs(X134,X135)
| ~ cp(X135)
| ~ rinvS(X135,X136)
| ~ cp(X136)
| cUnsatisfiable(X134) )
& ( cp(esk3_1(X134))
| ~ rs(X134,X135)
| ~ cp(X135)
| ~ rinvS(X135,X136)
| ~ cp(X136)
| cUnsatisfiable(X134) ) ),
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)],[c_0_2])])])])])]) ).
cnf(c_0_4,plain,
( ~ rs(X1,X2)
| ~ cp(X2)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( rs(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( cp(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(split_conjunct,[status(thm)],[axiom_9]) ).
cnf(c_0_8,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS074+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
% 0.17/0.33 % Computer : n020.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 20:36:34 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------