%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n013.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 04:48:28 PM UTC 2026
% Result : Theorem 1.28s 1.74s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 23 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 8 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xone_compat,axiom,
! [X6,X7] :
( ( is_verdict(X6)
& is_verdict(X7)
& X6 = compatible
& X7 = conflict )
=> xone_verdict(X6,X7) = compatible ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+3.ax',xone_compat) ).
fof(odrl644,conjecture,
xone_verdict(compatible,conflict) = compatible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl644) ).
fof(conflict_is_verdict,axiom,
is_verdict(conflict),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',conflict_is_verdict) ).
fof(compatible_is_verdict,axiom,
is_verdict(compatible),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',compatible_is_verdict) ).
fof(c_0_4,plain,
! [X134,X135] :
( ~ is_verdict(X134)
| ~ is_verdict(X135)
| X134 != compatible
| X135 != conflict
| xone_verdict(X134,X135) = compatible ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[xone_compat])]) ).
fof(c_0_5,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[odrl644])]) ).
cnf(c_0_6,plain,
( xone_verdict(X1,X2) = compatible
| ~ is_verdict(X1)
| ~ is_verdict(X2)
| X1 != compatible
| X2 != conflict ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
is_verdict(conflict),
inference(split_conjunct,[status(thm)],[conflict_is_verdict]) ).
cnf(c_0_8,plain,
is_verdict(compatible),
inference(split_conjunct,[status(thm)],[compatible_is_verdict]) ).
cnf(c_0_9,negated_conjecture,
xone_verdict(compatible,conflict) != compatible,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]),c_0_7]),c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : MGT093+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % 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
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 4 23:32:56 EDT 2026
% 0.15/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 1.28/1.74 % Version : CSE_E---1.7
% 1.28/1.74 % Problem : theBenchmark.p
% 1.28/1.74 % SZS status Theorem for theBenchmark.p
% 1.28/1.74 % SZS output start CNFRefutation
% See solution above
% 1.28/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------