%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV121+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:53:45 PM UTC 2026
% Result : Theorem 0.14s 0.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 56 ( 9 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 51 ( 4 ~; 0 |; 34 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0014,conjecture,
( ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,negated_conjecture,
~ ( ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) ) )
=> true ),
inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0014]) ).
fof(c_0_3,plain,
( epred1_0
<=> ( ! [X21,X22] :
( ( leq(X22,minus(n6,n1))
& leq(X21,minus(n6,n1))
& leq(n0,X22)
& leq(n0,X21) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X4,X20] :
( ( leq(X20,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X14,X18] :
( ( leq(X18,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ( epred1_0
=> true ),
inference(apply_def,[status(thm)],[c_0_2,c_0_3]) ).
fof(c_0_5,negated_conjecture,
( ~ true
& epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
cnf(c_0_6,negated_conjecture,
~ true,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV121+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.59 % Computer : n015.cluster.edu
% 0.09/0.59 % Model : x86_64 x86_64
% 0.09/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59 % Memory : 8046.5625MB
% 0.09/0.59 % OS : Linux 6.8.0-71-generic
% 0.09/0.59 % CPULimit : 300
% 0.09/0.59 % WCLimit : 300
% 0.09/0.59 % DateTime : Mon Sep 21 08:35:22 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.63 Running first-order theorem proving
% 0.14/0.63 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
% 0.14/0.65 % Version: 3.5.1
% 0.14/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.65 % Starting sh5l with 300s (1) cores
% 0.14/0.65 % new_bool_3 with pid 1049969 completed with status 0
% 0.14/0.65 % Result found by new_bool_3
% 0.14/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.65 % Search class: FGUSM-FFMM31-DFFFFFNN
% 0.14/0.65 % partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.14/0.65 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.65 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.65 % SubtermCWHack with pid 1049972 completed with status 0
% 0.14/0.65 % Result found by SubtermCWHack
% 0.14/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.65 % Search class: FGUSM-FFMM31-DFFFFFNN
% 0.14/0.65 % partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.14/0.65 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.65 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.65 % Preprocessing time : 0.002 s
% 0.14/0.65
% 0.14/0.65 % Proof found!
% 0.14/0.65 % SZS status Theorem
% 0.14/0.65 % SZS output start CNFRefutation
% See solution above
% 0.14/0.65 % Parsed axioms : 94
% 0.14/0.65 % Removed by relevancy pruning/SinE : 23
% 0.14/0.65 % Initial clauses : 78
% 0.14/0.65 % Removed in clause preprocessing : 0
% 0.14/0.65 % Initial clauses in saturation : 78
% 0.14/0.65 % Processed clauses : 3
% 0.14/0.65 % ...of these trivial : 0
% 0.14/0.65 % ...subsumed : 0
% 0.14/0.65 % ...remaining for further processing : 2
% 0.14/0.65 % Other redundant clauses eliminated : 0
% 0.14/0.65 % Clauses deleted for lack of memory : 0
% 0.14/0.65 % Backward-subsumed : 0
% 0.14/0.65 % Backward-rewritten : 0
% 0.14/0.65 % Generated clauses : 0
% 0.14/0.65 % ...of the previous two non-redundant : 0
% 0.14/0.65 % ...aggressively subsumed : 0
% 0.14/0.65 % Contextual simplify-reflections : 0
% 0.14/0.65 % Paramodulations : 0
% 0.14/0.65 % Factorizations : 0
% 0.14/0.65 % NegExts : 0
% 0.14/0.65 % Equation resolutions : 0
% 0.14/0.65 % Disequality decompositions : 0
% 0.14/0.65 % Total rewrite steps : 1
% 0.14/0.65 % ...of those cached : 0
% 0.14/0.65 % Propositional unsat checks : 0
% 0.14/0.65 % Propositional check models : 0
% 0.14/0.65 % Propositional check unsatisfiable : 0
% 0.14/0.65 % Propositional clauses : 0
% 0.14/0.65 % Propositional clauses after purity: 0
% 0.14/0.65 % Propositional unsat core size : 0
% 0.14/0.65 % Propositional preprocessing time : 0.000
% 0.14/0.65 % Propositional encoding time : 0.000
% 0.14/0.65 % Propositional solver time : 0.000
% 0.14/0.65 % Success case prop preproc time : 0.000
% 0.14/0.65 % Success case prop encoding time : 0.000
% 0.14/0.65 % Success case prop solver time : 0.000
% 0.14/0.65 % Current number of processed clauses : 2
% 0.14/0.65 % Positive orientable unit clauses : 2
% 0.14/0.65 % Positive unorientable unit clauses: 0
% 0.14/0.65 % Negative unit clauses : 0
% 0.14/0.65 % Non-unit-clauses : 0
% 0.14/0.65 % Current number of unprocessed clauses: 75
% 0.14/0.65 % ...number of literals in the above : 143
% 0.14/0.65 % Current number of archived formulas : 0
% 0.14/0.65 % Current number of archived clauses : 0
% 0.14/0.65 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.65 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.65 % Non-unit clause-clause subsumptions : 0
% 0.14/0.65 % Unit Clause-clause subsumption calls : 0
% 0.14/0.65 % Rewrite failures with RHS unbound : 0
% 0.14/0.65 % BW rewrite match attempts : 0
% 0.14/0.65 % BW rewrite match successes : 0
% 0.14/0.65 % Condensation attempts : 0
% 0.14/0.65 % Condensation successes : 0
% 0.14/0.65 % Termbank termtop insertions : 4227
% 0.14/0.65 % Search garbage collected termcells : 718
% 0.14/0.65
% 0.14/0.65 % -------------------------------------------------
% 0.14/0.65 % User time : 0.002 s
% 0.14/0.65 % System time : 0.005 s
% 0.14/0.65 % Total time : 0.008 s
% 0.14/0.65 % Maximum resident set size: 4004 pages
% 0.14/0.65
% 0.14/0.65 % -------------------------------------------------
% 0.14/0.65 % User time : 0.005 s
% 0.14/0.65 % System time : 0.011 s
% 0.14/0.65 % Total time : 0.016 s
% 0.14/0.65 % Maximum resident set size: 4608 pages
% 0.14/0.65 % E exiting
%------------------------------------------------------------------------------