%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO148+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 : n002.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 1.16s 1.85s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 13 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14,conjecture,
! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X13),X19,X3)
& ordered_by(trajectory_of(X12),X3,X18) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14) ).
fof(homogeneous_behaviour,axiom,
! [X16,X17,X18,X19,X12,X13] :
( ( once(at_the_same_time(at(X12,X16),at(X13,X17)))
& once(at_the_same_time(at(X12,X18),at(X13,X19))) )
=> ~ ( ordered_by(trajectory_of(X12),X16,X18)
& ordered_by(trajectory_of(X13),X19,X17) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+3.ax',homogeneous_behaviour) ).
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(c_0_3,negated_conjecture,
~ ! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X13),X19,X3)
& ordered_by(trajectory_of(X12),X3,X18) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14])]) ).
fof(c_0_4,plain,
! [X296,X297,X298,X299,X300,X301] :
( ~ once(at_the_same_time(at(X300,X296),at(X301,X297)))
| ~ once(at_the_same_time(at(X300,X298),at(X301,X299)))
| ~ ordered_by(trajectory_of(X300),X296,X298)
| ~ ordered_by(trajectory_of(X301),X299,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[homogeneous_behaviour])]) ).
fof(c_0_5,negated_conjecture,
( connect(esk28_0,esk29_0,esk27_0)
& ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0)
& ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0)
& once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_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,X2),at(X3,X4)))
| ~ once(at_the_same_time(at(X1,X5),at(X3,X6)))
| ~ ordered_by(trajectory_of(X1),X2,X5)
| ~ ordered_by(trajectory_of(X3),X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X281,X282,X283] :
( ( ~ connect(X281,X282,X283)
| once(at_the_same_time(at(X281,X283),at(X282,X283))) )
& ( ~ once(at_the_same_time(at(X281,X283),at(X282,X283)))
| connect(X281,X282,X283) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])]) ).
cnf(c_0_9,negated_conjecture,
( ~ once(at_the_same_time(at(esk28_0,X1),at(esk29_0,X2)))
| ~ ordered_by(trajectory_of(esk29_0),esk31_0,X2)
| ~ ordered_by(trajectory_of(esk28_0),X1,esk30_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ connect(esk28_0,esk29_0,X1)
| ~ ordered_by(trajectory_of(esk29_0),esk31_0,X1)
| ~ ordered_by(trajectory_of(esk28_0),X1,esk30_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
connect(esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.21 % Problem : GEO148+1 : TPTP v9.2.1. Released v2.4.0.
% 0.03/0.21 % 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
% 0.12/0.44 % Computer : n002.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8042.1875MB
% 0.12/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Mon May 4 17:44:01 EDT 2026
% 0.14/0.45 % CPUTime :
% 0.14/0.46 % start to proof: theBenchmark
% 1.16/1.85 % Version : CSE_E---1.7
% 1.16/1.85 % Problem : theBenchmark.p
% 1.16/1.85 % SZS status Theorem for theBenchmark.p
% 1.16/1.85 % SZS output start CNFRefutation
% See solution above
% 1.16/1.85 % Total time : 1.376s
%------------------------------------------------------------------------------