%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 03:10:21 PM UTC 2026
% Result : Theorem 0.79s 1.39s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_6,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(conj_2,hypothesis,
! [X9,X10] :
( v_Q(X9,X10)
=> ! [X11] :
( c_Natural_Oevaln(v_d,X10,v_n,X11)
=> v_R(X9,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(conj_5,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(conj_1,hypothesis,
! [X9,X10] :
( v_P(X9,X10)
=> ! [X11] :
( c_Natural_Oevaln(v_c,X10,v_n,X11)
=> v_Q(X9,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_4,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(conj_3,hypothesis,
v_P(v_Z,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(c_0_6,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(assume_negation,[status(cth)],[conj_6]) ).
fof(c_0_7,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,hypothesis,
! [X334,X335,X336] :
( v_R(X334,X336)
| ~ c_Natural_Oevaln(v_d,X335,v_n,X336)
| ~ v_Q(X334,X335) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_2])])])]) ).
fof(c_0_9,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
( ~ c_Natural_Oevaln(v_d,X2,v_n,X3)
| ~ v_Q(X1,X2)
| v_R(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_12,hypothesis,
! [X331,X332,X333] :
( v_Q(X331,X333)
| ~ c_Natural_Oevaln(v_c,X332,v_n,X333)
| ~ v_P(X331,X332) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])])]) ).
cnf(c_0_13,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
( ~ v_Q(X1,v_s1)
| v_R(X1,v_s_H) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
( ~ c_Natural_Oevaln(v_c,X2,v_n,X3)
| ~ v_P(X1,X2)
| v_Q(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_17,negated_conjecture,
~ v_Q(v_Z,v_s1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
( ~ v_P(X1,v_s)
| v_Q(X1,v_s1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,hypothesis,
v_P(v_Z,v_s),
inference(split_conjunct,[status(thm)],[conj_3]) ).
cnf(c_0_20,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 % Computer : n026.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.49 % CPULimit : 300
% 0.19/0.49 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 09:51:08 UTC 2026
% 0.19/0.49 % CPUTime :
% 0.19/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.59 Running first-order theorem proving
% 0.25/0.59 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.79/1.39 % Version: 3.5.1
% 0.79/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.79/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.79/1.39 % Starting new_bool_3 with 300s (1) cores
% 0.79/1.39 % Starting new_bool_1 with 300s (1) cores
% 0.79/1.39 % Starting sh5l with 300s (1) cores
% 0.79/1.39 % new_bool_1 with pid 1971632 completed with status 0
% 0.79/1.39 % Result found by new_bool_1
% 0.79/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.79/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.79/1.39 % Starting new_bool_3 with 300s (1) cores
% 0.79/1.39 % Starting new_bool_1 with 300s (1) cores
% 0.79/1.39 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.79/1.39 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.79/1.39 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.79/1.39 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.79/1.39 % Starting SubtermCWHack with 28s (1) cores
% 0.79/1.39 % SubtermCWHack with pid 1971634 completed with status 0
% 0.79/1.39 % Result found by SubtermCWHack
% 0.79/1.39 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.79/1.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/1.39 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.79/1.39 % Starting new_bool_3 with 300s (1) cores
% 0.79/1.39 % Starting new_bool_1 with 300s (1) cores
% 0.79/1.39 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.79/1.39 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.79/1.39 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.79/1.39 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.79/1.39 % Starting SubtermCWHack with 28s (1) cores
% 0.79/1.39 % Preprocessing time : 0.039 s
% 0.79/1.39
% 0.79/1.39 % Proof found!
% 0.79/1.39 % SZS status Theorem
% 0.79/1.39 % SZS output start CNFRefutation
% See solution above
% 0.79/1.39 % Parsed axioms : 5211
% 0.79/1.39 % Removed by relevancy pruning/SinE : 4451
% 0.79/1.39 % Initial clauses : 1144
% 0.79/1.39 % Removed in clause preprocessing : 56
% 0.79/1.39 % Initial clauses in saturation : 1088
% 0.79/1.39 % Processed clauses : 216
% 0.79/1.39 % ...of these trivial : 10
% 0.79/1.39 % ...subsumed : 62
% 0.79/1.39 % ...remaining for further processing : 144
% 0.79/1.39 % Other redundant clauses eliminated : 19
% 0.79/1.39 % Clauses deleted for lack of memory : 0
% 0.79/1.39 % Backward-subsumed : 0
% 0.79/1.39 % Backward-rewritten : 0
% 0.79/1.39 % Generated clauses : 57
% 0.79/1.39 % ...of the previous two non-redundant : 30
% 0.79/1.39 % ...aggressively subsumed : 0
% 0.79/1.39 % Contextual simplify-reflections : 0
% 0.79/1.39 % Paramodulations : 30
% 0.79/1.39 % Factorizations : 0
% 0.79/1.39 % NegExts : 0
% 0.79/1.39 % Equation resolutions : 27
% 0.79/1.39 % Disequality decompositions : 0
% 0.79/1.39 % Total rewrite steps : 27
% 0.79/1.39 % ...of those cached : 8
% 0.79/1.39 % Propositional unsat checks : 0
% 0.79/1.39 % Propositional check models : 0
% 0.79/1.39 % Propositional check unsatisfiable : 0
% 0.79/1.39 % Propositional clauses : 0
% 0.79/1.39 % Propositional clauses after purity: 0
% 0.79/1.39 % Propositional unsat core size : 0
% 0.79/1.39 % Propositional preprocessing time : 0.000
% 0.79/1.39 % Propositional encoding time : 0.000
% 0.79/1.39 % Propositional solver time : 0.000
% 0.79/1.39 % Success case prop preproc time : 0.000
% 0.79/1.39 % Success case prop encoding time : 0.000
% 0.79/1.39 % Success case prop solver time : 0.000
% 0.79/1.39 % Current number of processed clauses : 127
% 0.79/1.39 % Positive orientable unit clauses : 53
% 0.79/1.39 % Positive unorientable unit clauses: 0
% 0.79/1.39 % Negative unit clauses : 44
% 0.79/1.39 % Non-unit-clauses : 30
% 0.79/1.39 % Current number of unprocessed clauses: 902
% 0.79/1.39 % ...number of literals in the above : 2069
% 0.79/1.39 % Current number of archived formulas : 0
% 0.79/1.39 % Current number of archived clauses : 0
% 0.79/1.39 % Clause-clause subsumption calls (NU) : 638
% 0.79/1.39 % Rec. Clause-clause subsumption calls : 371
% 0.79/1.39 % Non-unit clause-clause subsumptions : 10
% 0.79/1.39 % Unit Clause-clause subsumption calls : 424
% 0.79/1.39 % Rewrite failures with RHS unbound : 0
% 0.79/1.39 % BW rewrite match attempts : 19
% 0.79/1.39 % BW rewrite match successes : 0
% 0.79/1.39 % Condensation attempts : 0
% 0.79/1.39 % Condensation successes : 0
% 0.79/1.39 % Termbank termtop insertions : 236512
% 0.79/1.39 % Search garbage collected termcells : 57653
% 0.79/1.39
% 0.79/1.39 % -------------------------------------------------
% 0.79/1.39 % User time : 0.168 s
% 0.79/1.39 % System time : 0.041 s
% 0.79/1.39 % Total time : 0.209 s
% 0.79/1.39 % Maximum resident set size: 13688 pages
% 0.79/1.39
% 0.79/1.39 % -------------------------------------------------
% 0.79/1.39 % User time : 0.638 s
% 0.79/1.39 % System time : 0.064 s
% 0.79/1.39 % Total time : 0.702 s
% 0.79/1.39 % Maximum resident set size: 12288 pages
% 0.79/1.39 % E exiting
%------------------------------------------------------------------------------