%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO147+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 : n028.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 1.30s 1.72s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 12 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13,conjecture,
! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ( incident_o(X3,trajectory_of(X12))
& incident_o(X3,trajectory_of(X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13) ).
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(conjunction_at_the_same_time,axiom,
! [X14,X15] :
( once(at_the_same_time(X14,X15))
=> ( once(X14)
& once(X15) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).
fof(at_on_trajectory,axiom,
! [X12,X3] :
( once(at(X12,X3))
<=> incident_o(X3,trajectory_of(X12)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',at_on_trajectory) ).
fof(c_0_4,negated_conjecture,
~ ! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ( incident_o(X3,trajectory_of(X12))
& incident_o(X3,trajectory_of(X13)) ) ),
inference(assume_negation,[status(cth)],[t13]) ).
fof(c_0_5,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_6,negated_conjecture,
( connect(esk28_0,esk29_0,esk27_0)
& ( ~ incident_o(esk27_0,trajectory_of(esk28_0))
| ~ incident_o(esk27_0,trajectory_of(esk29_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X288,X289] :
( ( once(X288)
| ~ once(at_the_same_time(X288,X289)) )
& ( once(X289)
| ~ once(at_the_same_time(X288,X289)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conjunction_at_the_same_time])])]) ).
cnf(c_0_8,plain,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
connect(esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X290,X291] :
( ( ~ once(at(X290,X291))
| incident_o(X291,trajectory_of(X290)) )
& ( ~ incident_o(X291,trajectory_of(X290))
| once(at(X290,X291)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[at_on_trajectory])]) ).
cnf(c_0_11,plain,
( once(X1)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
once(at_the_same_time(at(esk28_0,esk27_0),at(esk29_0,esk27_0))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( incident_o(X2,trajectory_of(X1))
| ~ once(at(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
once(at(esk28_0,esk27_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( once(X1)
| ~ once(at_the_same_time(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( ~ incident_o(esk27_0,trajectory_of(esk28_0))
| ~ incident_o(esk27_0,trajectory_of(esk29_0)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
incident_o(esk27_0,trajectory_of(esk28_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
once(at(esk29_0,esk27_0)),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ incident_o(esk27_0,trajectory_of(esk29_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO147+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n028.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 17:44:16 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.30/1.72 % Version : CSE_E---1.7
% 1.30/1.72 % Problem : theBenchmark.p
% 1.30/1.72 % SZS status Theorem for theBenchmark.p
% 1.30/1.72 % SZS output start CNFRefutation
% See solution above
% 1.30/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------