%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:18 PM UTC 2026
% Result : Theorem 0.24s 0.64s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 11 |; 9 &)
% ( 1 <=>; 7 =>; 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 : 45 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14,conjecture,
! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X12),X3,X18)
& ordered_by(trajectory_of(X13),X19,X3) )
=> ~ 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,X18),at(X13,X19)))
& once(at_the_same_time(at(X12,X16),at(X13,X17))) )
=> ~ ( ordered_by(trajectory_of(X13),X19,X17)
& ordered_by(trajectory_of(X12),X16,X18) ) ),
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(X12),X3,X18)
& ordered_by(trajectory_of(X13),X19,X3) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
inference(assume_negation,[status(cth)],[t14]) ).
fof(c_0_4,negated_conjecture,
~ ! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X12),X3,X18)
& ordered_by(trajectory_of(X13),X19,X3) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X173,X174,X175,X176,X177,X178] :
( ~ ordered_by(trajectory_of(X178),X176,X174)
| ~ ordered_by(trajectory_of(X177),X173,X175)
| ~ once(at_the_same_time(at(X177,X175),at(X178,X176)))
| ~ once(at_the_same_time(at(X177,X173),at(X178,X174))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[homogeneous_behaviour])])]) ).
fof(c_0_6,negated_conjecture,
( once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_0)))
& ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0)
& ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0)
& connect(esk28_0,esk29_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X158,X159,X160] :
( ( connect(X158,X159,X160)
| ~ once(at_the_same_time(at(X158,X160),at(X159,X160))) )
& ( once(at_the_same_time(at(X158,X160),at(X159,X160)))
| ~ connect(X158,X159,X160) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])])]) ).
cnf(c_0_8,plain,
( ~ ordered_by(trajectory_of(X3),X6,X4)
| ~ ordered_by(trajectory_of(X1),X2,X5)
| ~ once(at_the_same_time(at(X1,X5),at(X3,X6)))
| ~ once(at_the_same_time(at(X1,X2),at(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ connect(X1,X2,X3)
| once(at_the_same_time(at(X1,X3),at(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
connect(esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ ordered_by(trajectory_of(X1),X3,X2)
| ~ once(at_the_same_time(at(X1,X3),at(esk29_0,esk27_0)))
| ~ once(at_the_same_time(at(X1,X2),at(esk29_0,esk31_0))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
once(at_the_same_time(at(esk28_0,esk27_0),at(esk29_0,esk27_0))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n026.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 12:38:21 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.64 % Version: 3.5.1
% 0.24/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.64 % Starting sh5l with 300s (1) cores
% 0.24/0.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4081056 completed with status 0
% 0.24/0.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.24/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.64 % No SInE strategy applied
% 0.24/0.64 % Search class: FGHSS-FFMS32-MFFFFFNN
% 0.24/0.64 % partial match(1): FGHSS-FFMS32-SFFFFFNN
% 0.24/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 191s (1) cores
% 0.24/0.64 % Starting new_bool_3 with 191s (1) cores
% 0.24/0.64 % Starting new_bool_1 with 191s (1) cores
% 0.24/0.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4081062 completed with status 0
% 0.24/0.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.24/0.64 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.64 % No SInE strategy applied
% 0.24/0.64 % Search class: FGHSS-FFMS32-MFFFFFNN
% 0.24/0.64 % partial match(1): FGHSS-FFMS32-SFFFFFNN
% 0.24/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/0.64 % Preprocessing time : 0.004 s
% 0.24/0.64 % Presaturation interreduction done
% 0.24/0.64
% 0.24/0.64 % Proof found!
% 0.24/0.64 % SZS status Theorem
% 0.24/0.64 % SZS output start CNFRefutation
% See solution above
% 0.24/0.64 % Parsed axioms : 37
% 0.24/0.64 % Removed by relevancy pruning/SinE : 0
% 0.24/0.64 % Initial clauses : 103
% 0.24/0.64 % Removed in clause preprocessing : 1
% 0.24/0.64 % Initial clauses in saturation : 102
% 0.24/0.64 % Processed clauses : 218
% 0.24/0.64 % ...of these trivial : 0
% 0.24/0.64 % ...subsumed : 1
% 0.24/0.64 % ...remaining for further processing : 217
% 0.24/0.64 % Other redundant clauses eliminated : 7
% 0.24/0.64 % Clauses deleted for lack of memory : 0
% 0.24/0.64 % Backward-subsumed : 0
% 0.24/0.64 % Backward-rewritten : 0
% 0.24/0.64 % Generated clauses : 203
% 0.24/0.64 % ...of the previous two non-redundant : 184
% 0.24/0.64 % ...aggressively subsumed : 0
% 0.24/0.64 % Contextual simplify-reflections : 2
% 0.24/0.64 % Paramodulations : 186
% 0.24/0.64 % Factorizations : 10
% 0.24/0.64 % NegExts : 0
% 0.24/0.64 % Equation resolutions : 7
% 0.24/0.64 % Disequality decompositions : 0
% 0.24/0.64 % Total rewrite steps : 6
% 0.24/0.64 % ...of those cached : 1
% 0.24/0.64 % Propositional unsat checks : 0
% 0.24/0.64 % Propositional check models : 0
% 0.24/0.64 % Propositional check unsatisfiable : 0
% 0.24/0.64 % Propositional clauses : 0
% 0.24/0.64 % Propositional clauses after purity: 0
% 0.24/0.64 % Propositional unsat core size : 0
% 0.24/0.64 % Propositional preprocessing time : 0.000
% 0.24/0.64 % Propositional encoding time : 0.000
% 0.24/0.64 % Propositional solver time : 0.000
% 0.24/0.64 % Success case prop preproc time : 0.000
% 0.24/0.64 % Success case prop encoding time : 0.000
% 0.24/0.64 % Success case prop solver time : 0.000
% 0.24/0.64 % Current number of processed clauses : 109
% 0.24/0.64 % Positive orientable unit clauses : 12
% 0.24/0.64 % Positive unorientable unit clauses: 0
% 0.24/0.64 % Negative unit clauses : 2
% 0.24/0.64 % Non-unit-clauses : 95
% 0.24/0.64 % Current number of unprocessed clauses: 166
% 0.24/0.64 % ...number of literals in the above : 660
% 0.24/0.64 % Current number of archived formulas : 0
% 0.24/0.64 % Current number of archived clauses : 102
% 0.24/0.64 % Clause-clause subsumption calls (NU) : 4289
% 0.24/0.64 % Rec. Clause-clause subsumption calls : 1978
% 0.24/0.64 % Non-unit clause-clause subsumptions : 3
% 0.24/0.64 % Unit Clause-clause subsumption calls : 17
% 0.24/0.64 % Rewrite failures with RHS unbound : 0
% 0.24/0.64 % BW rewrite match attempts : 11
% 0.24/0.64 % BW rewrite match successes : 0
% 0.24/0.64 % Condensation attempts : 0
% 0.24/0.64 % Condensation successes : 0
% 0.24/0.64 % Termbank termtop insertions : 11431
% 0.24/0.64 % Search garbage collected termcells : 2140
% 0.24/0.64
% 0.24/0.64 % -------------------------------------------------
% 0.24/0.64 % User time : 0.038 s
% 0.24/0.64 % System time : 0.008 s
% 0.24/0.64 % Total time : 0.046 s
% 0.24/0.64 % Maximum resident set size: 3952 pages
% 0.24/0.64
% 0.24/0.64 % -------------------------------------------------
% 0.24/0.64 % User time : 0.130 s
% 0.24/0.64 % System time : 0.031 s
% 0.24/0.64 % Total time : 0.161 s
% 0.24/0.64 % Maximum resident set size: 4608 pages
% 0.24/0.64 % E exiting
%------------------------------------------------------------------------------