%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV106+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 : n001.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 02:53:44 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 86 ( 21 equ)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 81 ( 4 ~; 0 |; 52 &)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0018,conjecture,
( ( ! [X29,X5] :
( ( leq(X5,minus(n_steps,n1))
& leq(X29,minus(m_measvars,n1))
& leq(n0,X5)
& leq(n0,X29) )
=> a_select3(z_defuse,X29,X5) = use )
& ! [X28] :
( ( leq(X28,minus(n_statevars,n1))
& leq(n0,X28) )
=> a_select2(xinit_noise_defuse,X28) = use )
& ! [X22] :
( ( leq(X22,minus(n_statevars,n1))
& leq(n0,X22) )
=> a_select2(xinit_mean_defuse,X22) = use )
& ! [X21] :
( ( leq(X21,minus(n_statevars,n1))
& leq(n0,X21) )
=> a_select2(xinit_defuse,X21) = use )
& ! [X4,X20] :
( ( leq(X20,minus(n_steps,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X20) = use )
& ! [X18] :
( ( leq(X18,minus(n_statevars,n1))
& leq(n0,X18) )
=> a_select2(sigma_defuse,X18) = use )
& ! [X14] :
( ( leq(X14,minus(m_measvars,n1))
& leq(n0,X14) )
=> a_select2(rho_defuse,X14) = use ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,negated_conjecture,
~ ( ( ! [X29,X5] :
( ( leq(X5,minus(n_steps,n1))
& leq(X29,minus(m_measvars,n1))
& leq(n0,X5)
& leq(n0,X29) )
=> a_select3(z_defuse,X29,X5) = use )
& ! [X28] :
( ( leq(X28,minus(n_statevars,n1))
& leq(n0,X28) )
=> a_select2(xinit_noise_defuse,X28) = use )
& ! [X22] :
( ( leq(X22,minus(n_statevars,n1))
& leq(n0,X22) )
=> a_select2(xinit_mean_defuse,X22) = use )
& ! [X21] :
( ( leq(X21,minus(n_statevars,n1))
& leq(n0,X21) )
=> a_select2(xinit_defuse,X21) = use )
& ! [X4,X20] :
( ( leq(X20,minus(n_steps,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X20) = use )
& ! [X18] :
( ( leq(X18,minus(n_statevars,n1))
& leq(n0,X18) )
=> a_select2(sigma_defuse,X18) = use )
& ! [X14] :
( ( leq(X14,minus(m_measvars,n1))
& leq(n0,X14) )
=> a_select2(rho_defuse,X14) = use ) )
=> true ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0018]) ).
fof(c_0_3,plain,
( epred1_0
<=> ( ! [X29,X5] :
( ( leq(X5,minus(n_steps,n1))
& leq(X29,minus(m_measvars,n1))
& leq(n0,X5)
& leq(n0,X29) )
=> a_select3(z_defuse,X29,X5) = use )
& ! [X28] :
( ( leq(X28,minus(n_statevars,n1))
& leq(n0,X28) )
=> a_select2(xinit_noise_defuse,X28) = use )
& ! [X22] :
( ( leq(X22,minus(n_statevars,n1))
& leq(n0,X22) )
=> a_select2(xinit_mean_defuse,X22) = use )
& ! [X21] :
( ( leq(X21,minus(n_statevars,n1))
& leq(n0,X21) )
=> a_select2(xinit_defuse,X21) = use )
& ! [X4,X20] :
( ( leq(X20,minus(n_steps,n1))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X20) = use )
& ! [X18] :
( ( leq(X18,minus(n_statevars,n1))
& leq(n0,X18) )
=> a_select2(sigma_defuse,X18) = use )
& ! [X14] :
( ( leq(X14,minus(m_measvars,n1))
& leq(n0,X14) )
=> a_select2(rho_defuse,X14) = use ) ) ),
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
% 0.00/0.02 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:36:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43 % Version: 3.5.1
% 0.11/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % Starting sh5l with 300s (1) cores
% 0.11/0.43 % new_bool_1 with pid 2691263 completed with status 0
% 0.11/0.43 % Result found by new_bool_1
% 0.11/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.43 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.11/0.43 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.11/0.43 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.43 % SubtermCWHack with pid 2691265 completed with status 0
% 0.11/0.43 % Result found by SubtermCWHack
% 0.11/0.43 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.43 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.11/0.43 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.11/0.43 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.43 % Preprocessing time : 0.002 s
% 0.11/0.43
% 0.11/0.43 % Proof found!
% 0.11/0.43 % SZS status Theorem
% 0.11/0.43 % SZS output start CNFRefutation
% See solution above
% 0.11/0.43 % Parsed axioms : 85
% 0.11/0.43 % Removed by relevancy pruning/SinE : 23
% 0.11/0.43 % Initial clauses : 73
% 0.11/0.43 % Removed in clause preprocessing : 0
% 0.11/0.43 % Initial clauses in saturation : 73
% 0.11/0.43 % Processed clauses : 3
% 0.11/0.43 % ...of these trivial : 0
% 0.11/0.43 % ...subsumed : 0
% 0.11/0.43 % ...remaining for further processing : 2
% 0.11/0.43 % Other redundant clauses eliminated : 0
% 0.11/0.43 % Clauses deleted for lack of memory : 0
% 0.11/0.43 % Backward-subsumed : 0
% 0.11/0.43 % Backward-rewritten : 0
% 0.11/0.43 % Generated clauses : 0
% 0.11/0.43 % ...of the previous two non-redundant : 0
% 0.11/0.43 % ...aggressively subsumed : 0
% 0.11/0.43 % Contextual simplify-reflections : 0
% 0.11/0.43 % Paramodulations : 0
% 0.11/0.43 % Factorizations : 0
% 0.11/0.43 % NegExts : 0
% 0.11/0.43 % Equation resolutions : 0
% 0.11/0.43 % Disequality decompositions : 0
% 0.11/0.43 % Total rewrite steps : 1
% 0.11/0.43 % ...of those cached : 0
% 0.11/0.43 % Propositional unsat checks : 0
% 0.11/0.43 % Propositional check models : 0
% 0.11/0.43 % Propositional check unsatisfiable : 0
% 0.11/0.43 % Propositional clauses : 0
% 0.11/0.43 % Propositional clauses after purity: 0
% 0.11/0.43 % Propositional unsat core size : 0
% 0.11/0.43 % Propositional preprocessing time : 0.000
% 0.11/0.43 % Propositional encoding time : 0.000
% 0.11/0.43 % Propositional solver time : 0.000
% 0.11/0.43 % Success case prop preproc time : 0.000
% 0.11/0.43 % Success case prop encoding time : 0.000
% 0.11/0.43 % Success case prop solver time : 0.000
% 0.11/0.43 % Current number of processed clauses : 2
% 0.11/0.43 % Positive orientable unit clauses : 2
% 0.11/0.43 % Positive unorientable unit clauses: 0
% 0.11/0.43 % Negative unit clauses : 0
% 0.11/0.43 % Non-unit-clauses : 0
% 0.11/0.43 % Current number of unprocessed clauses: 70
% 0.11/0.43 % ...number of literals in the above : 140
% 0.11/0.43 % Current number of archived formulas : 0
% 0.11/0.43 % Current number of archived clauses : 0
% 0.11/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.43 % Non-unit clause-clause subsumptions : 0
% 0.11/0.43 % Unit Clause-clause subsumption calls : 0
% 0.11/0.43 % Rewrite failures with RHS unbound : 0
% 0.11/0.43 % BW rewrite match attempts : 0
% 0.11/0.43 % BW rewrite match successes : 0
% 0.11/0.43 % Condensation attempts : 0
% 0.11/0.43 % Condensation successes : 0
% 0.11/0.43 % Termbank termtop insertions : 4270
% 0.11/0.43 % Search garbage collected termcells : 780
% 0.11/0.43
% 0.11/0.43 % -------------------------------------------------
% 0.11/0.43 % User time : 0.005 s
% 0.11/0.43 % System time : 0.000 s
% 0.11/0.43 % Total time : 0.006 s
% 0.11/0.43 % Maximum resident set size: 4260 pages
% 0.11/0.43
% 0.11/0.43 % -------------------------------------------------
% 0.11/0.43 % User time : 0.008 s
% 0.11/0.43 % System time : 0.005 s
% 0.11/0.43 % Total time : 0.013 s
% 0.11/0.43 % Maximum resident set size: 4864 pages
% 0.11/0.43 % E exiting
%------------------------------------------------------------------------------