%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS095+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 : n019.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 04:36:20 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.72s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 49 ( 11 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 63 ( 25 ~; 26 |; 10 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 1 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5,X6] :
( rr(X4,X5)
& rr(X4,X6)
& X5 != X6 )
& ! [X5,X6] :
( ( rr(X4,X5)
& rr(X4,X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_14253),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(c_0_2,plain,
! [X57,X60,X61,X62,X63,X64] :
( ( rr(X57,esk1_1(X57))
| ~ cUnsatisfiable(X57) )
& ( rr(X57,esk2_1(X57))
| ~ cUnsatisfiable(X57) )
& ( esk1_1(X57) != esk2_1(X57)
| ~ cUnsatisfiable(X57) )
& ( ~ rr(X57,X60)
| ~ rr(X57,X61)
| X60 = X61
| ~ cUnsatisfiable(X57) )
& ( rr(X62,esk3_1(X62))
| ~ rr(X62,X63)
| ~ rr(X62,X64)
| X63 = X64
| cUnsatisfiable(X62) )
& ( rr(X62,esk4_1(X62))
| ~ rr(X62,X63)
| ~ rr(X62,X64)
| X63 = X64
| cUnsatisfiable(X62) )
& ( esk3_1(X62) != esk4_1(X62)
| ~ rr(X62,X63)
| ~ rr(X62,X64)
| X63 = X64
| cUnsatisfiable(X62) ) ),
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_3,plain,
( X2 = X3
| ~ rr(X1,X2)
| ~ rr(X1,X3)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
( rr(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,plain,
( X1 = esk2_1(X2)
| ~ rr(X2,X1)
| ~ cUnsatisfiable(X2) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
( rr(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,plain,
( esk1_1(X1) != esk2_1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,plain,
cUnsatisfiable(i2003_11_14_17_20_14253),
inference(split_conjunct,[status(thm)],[axiom_4]) ).
cnf(c_0_9,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS095+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 : n019.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 20:48:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.22/1.72 % Version : CSE_E---1.7
% 1.22/1.72 % Problem : theBenchmark.p
% 1.22/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.72 % SZS output start CNFRefutation
% See solution above
% 1.22/1.72 % Total time : 1.374s
%------------------------------------------------------------------------------