%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO524+1 : TPTP v9.2.1. Released v7.0.0.
% 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 : n025.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 04:21:27 PM UTC 2026
% Result : Theorem 1.37s 1.80s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz10_7,conjecture,
! [X12,X15,X13,X16] :
( X12 = X15
| reflect(X12,X15,X13) != reflect(X12,X15,X16)
| X13 = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_7) ).
fof(aSatz10_5,axiom,
! [X12,X15,X13] :
( X12 = X15
| reflect(X12,X15,reflect(X12,X15,X13)) = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_5) ).
fof(c_0_2,negated_conjecture,
~ ! [X12,X15,X13,X16] :
( X12 = X15
| reflect(X12,X15,X13) != reflect(X12,X15,X16)
| X13 = X16 ),
inference(assume_negation,[status(cth)],[aSatz10_7]) ).
fof(c_0_3,plain,
! [X1678,X1679,X1680] :
( X1678 = X1679
| reflect(X1678,X1679,reflect(X1678,X1679,X1680)) = X1680 ),
inference(variable_rename,[status(thm)],[aSatz10_5]) ).
fof(c_0_4,negated_conjecture,
( esk1_0 != esk2_0
& reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0)
& esk3_0 != esk4_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( X1 = X2
| reflect(X1,X2,reflect(X1,X2,X3)) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
reflect(esk1_0,esk2_0,reflect(esk1_0,esk2_0,esk4_0)) = esk3_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_9,negated_conjecture,
esk3_0 != esk4_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_9]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO524+1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n025.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:01:13 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.37/1.80 % Version : CSE_E---1.7
% 1.37/1.80 % Problem : theBenchmark.p
% 1.37/1.80 % SZS status Theorem for theBenchmark.p
% 1.37/1.80 % SZS output start CNFRefutation
% See solution above
% 1.42/1.80 % Total time : 1.425s
%------------------------------------------------------------------------------