%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO146+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n024.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 04:19:26 PM UTC 2026
% Result : Theorem 1.14s 1.61s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 16 ~; 13 |; 3 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12,conjecture,
! [X12,X13,X3] :
( connect(X12,X13,X3)
<=> connect(X13,X12,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).
fof(connect_defn,axiom,
! [X12,X13,X3] :
( connect(X12,X13,X3)
<=> once(at_the_same_time(at(X12,X3),at(X13,X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
fof(symmetry_of_at_the_same_time,axiom,
! [X14,X15] :
( once(at_the_same_time(X14,X15))
<=> once(at_the_same_time(X15,X14)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',symmetry_of_at_the_same_time) ).
fof(c_0_3,negated_conjecture,
~ ! [X12,X13,X3] :
( connect(X12,X13,X3)
<=> connect(X13,X12,X3) ),
inference(assume_negation,[status(cth)],[t12]) ).
fof(c_0_4,plain,
! [X279,X280,X281] :
( ( ~ connect(X279,X280,X281)
| once(at_the_same_time(at(X279,X281),at(X280,X281))) )
& ( ~ once(at_the_same_time(at(X279,X281),at(X280,X281)))
| connect(X279,X280,X281) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])]) ).
fof(c_0_5,negated_conjecture,
( ( ~ connect(esk27_0,esk28_0,esk29_0)
| ~ connect(esk28_0,esk27_0,esk29_0) )
& ( connect(esk27_0,esk28_0,esk29_0)
| connect(esk28_0,esk27_0,esk29_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( connect(esk27_0,esk28_0,esk29_0)
| connect(esk28_0,esk27_0,esk29_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X282,X283] :
( ( ~ once(at_the_same_time(X282,X283))
| once(at_the_same_time(X283,X282)) )
& ( ~ once(at_the_same_time(X283,X282))
| once(at_the_same_time(X282,X283)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_at_the_same_time])]) ).
cnf(c_0_9,negated_conjecture,
( ~ connect(esk27_0,esk28_0,esk29_0)
| ~ connect(esk28_0,esk27_0,esk29_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( connect(X1,X3,X2)
| ~ once(at_the_same_time(at(X1,X2),at(X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( once(at_the_same_time(at(esk28_0,esk29_0),at(esk27_0,esk29_0)))
| connect(esk27_0,esk28_0,esk29_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,plain,
( once(at_the_same_time(X2,X1))
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( ~ once(at_the_same_time(at(esk27_0,esk29_0),at(esk28_0,esk29_0)))
| ~ connect(esk28_0,esk27_0,esk29_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
once(at_the_same_time(at(esk27_0,esk29_0),at(esk28_0,esk29_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ connect(esk28_0,esk27_0,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_16,negated_conjecture,
~ once(at_the_same_time(at(esk28_0,esk29_0),at(esk27_0,esk29_0))),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO146+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06 % 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
% 0.05/0.24 % Computer : n024.cluster.edu
% 0.05/0.24 % Model : x86_64 x86_64
% 0.05/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.24 % Memory : 8042.1875MB
% 0.05/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.05/0.24 % CPULimit : 300
% 0.05/0.24 % WCLimit : 300
% 0.05/0.24 % DateTime : Mon May 4 12:43:56 EDT 2026
% 0.05/0.24 % CPUTime :
% 0.05/0.24 % start to proof: theBenchmark
% 1.14/1.61 % Version : CSE_E---1.7
% 1.14/1.61 % Problem : theBenchmark.p
% 1.14/1.61 % SZS status Theorem for theBenchmark.p
% 1.14/1.61 % SZS output start CNFRefutation
% See solution above
% 1.14/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------