%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW315+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 03:10:17 PM UTC 2026
% Result : Theorem 1.04s 1.17s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_4,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(fact_cut,axiom,
! [X4,X5,X8,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).
fof(conj_3,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(fact_asm,axiom,
! [X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(c_0_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(assume_negation,[status(cth)],[conj_4]) ).
fof(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X290,X291,X292,X293] :
( c_Hoare__Mirabelle_Ohoare__derivs(X293,X290,X291)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X293,X290,X292)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X293,X292,X291) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
fof(c_0_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(split_conjunct,[status(thm)],[conj_3]) ).
fof(c_0_11,plain,
! [X283,X284,X285] :
( c_Hoare__Mirabelle_Ohoare__derivs(X285,X283,X284)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X285),tc_HOL_Obool)),X284),X283)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
cnf(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,v_ts),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW315+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 09:48:45 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 1.04/1.17 % Version: 3.5.1
% 1.04/1.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.04/1.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/1.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.04/1.17 % Starting new_bool_3 with 300s (1) cores
% 1.04/1.17 % Starting new_bool_1 with 300s (1) cores
% 1.04/1.17 % Starting sh5l with 300s (1) cores
% 1.04/1.17 % new_bool_1 with pid 3991507 completed with status 0
% 1.04/1.17 % Result found by new_bool_1
% 1.04/1.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.04/1.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/1.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.04/1.17 % Starting new_bool_3 with 300s (1) cores
% 1.04/1.17 % Starting new_bool_1 with 300s (1) cores
% 1.04/1.17 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.04/1.17 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.04/1.17 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.04/1.17 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.04/1.17 % Starting SubtermCWHack with 28s (1) cores
% 1.04/1.17 % SubtermCWHack with pid 3991509 completed with status 0
% 1.04/1.17 % Result found by SubtermCWHack
% 1.04/1.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.04/1.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.04/1.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.04/1.17 % Starting new_bool_3 with 300s (1) cores
% 1.04/1.17 % Starting new_bool_1 with 300s (1) cores
% 1.04/1.17 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.04/1.17 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.04/1.17 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.04/1.17 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.04/1.17 % Starting SubtermCWHack with 28s (1) cores
% 1.04/1.17 % Preprocessing time : 0.025 s
% 1.04/1.17
% 1.04/1.17 % Proof found!
% 1.04/1.17 % SZS status Theorem
% 1.04/1.17 % SZS output start CNFRefutation
% See solution above
% 1.04/1.17 % Parsed axioms : 5230
% 1.04/1.17 % Removed by relevancy pruning/SinE : 4781
% 1.04/1.17 % Initial clauses : 665
% 1.04/1.17 % Removed in clause preprocessing : 31
% 1.04/1.17 % Initial clauses in saturation : 634
% 1.04/1.17 % Processed clauses : 250
% 1.04/1.17 % ...of these trivial : 11
% 1.04/1.17 % ...subsumed : 88
% 1.04/1.17 % ...remaining for further processing : 151
% 1.04/1.17 % Other redundant clauses eliminated : 36
% 1.04/1.17 % Clauses deleted for lack of memory : 0
% 1.04/1.17 % Backward-subsumed : 0
% 1.04/1.17 % Backward-rewritten : 0
% 1.04/1.17 % Generated clauses : 322
% 1.04/1.17 % ...of the previous two non-redundant : 183
% 1.04/1.17 % ...aggressively subsumed : 0
% 1.04/1.17 % Contextual simplify-reflections : 0
% 1.04/1.17 % Paramodulations : 279
% 1.04/1.17 % Factorizations : 4
% 1.04/1.17 % NegExts : 0
% 1.04/1.17 % Equation resolutions : 40
% 1.04/1.17 % Disequality decompositions : 0
% 1.04/1.17 % Total rewrite steps : 134
% 1.04/1.17 % ...of those cached : 83
% 1.04/1.17 % Propositional unsat checks : 0
% 1.04/1.17 % Propositional check models : 0
% 1.04/1.17 % Propositional check unsatisfiable : 0
% 1.04/1.17 % Propositional clauses : 0
% 1.04/1.17 % Propositional clauses after purity: 0
% 1.04/1.17 % Propositional unsat core size : 0
% 1.04/1.17 % Propositional preprocessing time : 0.000
% 1.04/1.17 % Propositional encoding time : 0.000
% 1.04/1.17 % Propositional solver time : 0.000
% 1.04/1.17 % Success case prop preproc time : 0.000
% 1.04/1.17 % Success case prop encoding time : 0.000
% 1.04/1.17 % Success case prop solver time : 0.000
% 1.04/1.17 % Current number of processed clauses : 120
% 1.04/1.17 % Positive orientable unit clauses : 61
% 1.04/1.17 % Positive unorientable unit clauses: 7
% 1.04/1.17 % Negative unit clauses : 15
% 1.04/1.17 % Non-unit-clauses : 37
% 1.04/1.17 % Current number of unprocessed clauses: 564
% 1.04/1.17 % ...number of literals in the above : 1304
% 1.04/1.17 % Current number of archived formulas : 0
% 1.04/1.17 % Current number of archived clauses : 0
% 1.04/1.17 % Clause-clause subsumption calls (NU) : 189
% 1.04/1.17 % Rec. Clause-clause subsumption calls : 176
% 1.04/1.17 % Non-unit clause-clause subsumptions : 21
% 1.04/1.17 % Unit Clause-clause subsumption calls : 8
% 1.04/1.17 % Rewrite failures with RHS unbound : 23
% 1.04/1.17 % BW rewrite match attempts : 190
% 1.04/1.17 % BW rewrite match successes : 23
% 1.04/1.17 % Condensation attempts : 0
% 1.04/1.17 % Condensation successes : 0
% 1.04/1.17 % Termbank termtop insertions : 202592
% 1.04/1.17 % Search garbage collected termcells : 54278
% 1.04/1.17
% 1.04/1.17 % -------------------------------------------------
% 1.04/1.17 % User time : 0.119 s
% 1.04/1.17 % System time : 0.037 s
% 1.04/1.17 % Total time : 0.156 s
% 1.04/1.17 % Maximum resident set size: 12920 pages
% 1.04/1.17
% 1.04/1.17 % -------------------------------------------------
% 1.04/1.17 % User time : 0.578 s
% 1.04/1.17 % System time : 0.059 s
% 1.04/1.17 % Total time : 0.637 s
% 1.04/1.17 % Maximum resident set size: 12288 pages
% 1.04/1.17 % E exiting
%------------------------------------------------------------------------------