%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 03:35:35 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 54 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p60_84,negated_conjecture,
( ~ p20(X4,X2)
| ~ p60(X3,X4)
| ~ p24(X3,X1)
| p60(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_84) ).
cnf(not_p60_107,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X1),X4)),c72)
| ~ p59(f29(c73,f31(f33(c74,X3),X2)),c72)
| ~ p60(f25(c75,X1),f21(c76,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p60_107) ).
cnf(p20_29,negated_conjecture,
p20(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_29) ).
cnf(p24_94,negated_conjecture,
( ~ p23(X2,X4)
| ~ p22(X1,X3)
| p24(f25(X1,X2),f25(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_94) ).
cnf(p59_44,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_44) ).
cnf(p60_42,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_42) ).
cnf(p22_28,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).
cnf(p23_36,negated_conjecture,
p23(c79,c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_36) ).
cnf(c_0_8,negated_conjecture,
( ~ p20(X4,X2)
| ~ p60(X3,X4)
| ~ p24(X3,X1)
| p60(X1,X2) ),
inference(fof_simplification,[status(thm)],[p60_84]) ).
cnf(c_0_9,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X1),X4)),c72)
| ~ p59(f29(c73,f31(f33(c74,X3),X2)),c72)
| ~ p60(f25(c75,X1),f21(c76,X2)) ),
inference(fof_simplification,[status(thm)],[not_p60_107]) ).
cnf(c_0_10,negated_conjecture,
( ~ p20(X4,X2)
| ~ p60(X3,X4)
| ~ p24(X3,X1)
| p60(X1,X2) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
p20(X1,X1),
p20_29 ).
cnf(c_0_12,negated_conjecture,
( ~ p23(X2,X4)
| ~ p22(X1,X3)
| p24(f25(X1,X2),f25(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p24_94]) ).
cnf(c_0_13,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X1),X4)),c72)
| ~ p59(f29(c73,f31(f33(c74,X3),X2)),c72)
| ~ p60(f25(c75,X1),f21(c76,X2)) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
p59_44 ).
cnf(c_0_15,negated_conjecture,
( ~ p24(X3,X1)
| ~ p60(X3,X2)
| p60(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ p23(X2,X4)
| ~ p22(X1,X3)
| p24(f25(X1,X2),f25(X3,X4)) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X1),X2)),c72)
| ~ p60(f25(c75,X1),f21(c76,c78)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p23(X5,X2)
| ~ p22(X4,X1)
| ~ p60(f25(X4,X5),X3)
| p60(f25(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
p60_42 ).
cnf(c_0_20,negated_conjecture,
~ p60(f25(c75,c77),f21(c76,c78)),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( ~ p23(c79,X2)
| ~ p22(c75,X1)
| p60(f25(X1,X2),f21(c76,c78)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p22(X1,X1),
p22_28 ).
cnf(c_0_23,negated_conjecture,
p23(c79,c77),
p23_36 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 11:13:12 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.46 % Version: 3.5.1
% 0.15/5.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46 % Starting sh5l with 300s (1) cores
% 0.15/5.46 % new_bool_3 with pid 2999250 completed with status 0
% 0.15/5.46 % Result found by new_bool_3
% 0.15/5.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.46 % Search class: FGHNM-FFMM22-MFFFFFNN
% 0.15/5.46 % partial match(1): FGHNM-FFMM21-MFFFFFNN
% 0.15/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.46 % SubtermCWHack with pid 2999257 completed with status 0
% 0.15/5.46 % Result found by SubtermCWHack
% 0.15/5.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.46 % Search class: FGHNM-FFMM22-MFFFFFNN
% 0.15/5.46 % partial match(1): FGHNM-FFMM21-MFFFFFNN
% 0.15/5.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.46 % Preprocessing time : 0.002 s
% 0.15/5.46
% 0.15/5.46 % Proof found!
% 0.15/5.46 % SZS status Unsatisfiable
% 0.15/5.46 % SZS output start CNFRefutation
% See solution above
% 0.15/5.46 % Parsed axioms : 113
% 0.15/5.46 % Removed by relevancy pruning/SinE : 0
% 0.15/5.46 % Initial clauses : 113
% 0.15/5.46 % Removed in clause preprocessing : 0
% 0.15/5.46 % Initial clauses in saturation : 113
% 0.15/5.46 % Processed clauses : 320
% 0.15/5.46 % ...of these trivial : 0
% 0.15/5.46 % ...subsumed : 79
% 0.15/5.46 % ...remaining for further processing : 241
% 0.15/5.46 % Other redundant clauses eliminated : 0
% 0.15/5.46 % Clauses deleted for lack of memory : 0
% 0.15/5.46 % Backward-subsumed : 0
% 0.15/5.46 % Backward-rewritten : 0
% 0.15/5.46 % Generated clauses : 421
% 0.15/5.46 % ...of the previous two non-redundant : 344
% 0.15/5.46 % ...aggressively subsumed : 0
% 0.15/5.46 % Contextual simplify-reflections : 0
% 0.15/5.46 % Paramodulations : 421
% 0.15/5.46 % Factorizations : 0
% 0.15/5.46 % NegExts : 0
% 0.15/5.46 % Equation resolutions : 0
% 0.15/5.46 % Disequality decompositions : 0
% 0.15/5.46 % Total rewrite steps : 91
% 0.15/5.46 % ...of those cached : 44
% 0.15/5.46 % Propositional unsat checks : 0
% 0.15/5.46 % Propositional check models : 0
% 0.15/5.46 % Propositional check unsatisfiable : 0
% 0.15/5.46 % Propositional clauses : 0
% 0.15/5.46 % Propositional clauses after purity: 0
% 0.15/5.46 % Propositional unsat core size : 0
% 0.15/5.46 % Propositional preprocessing time : 0.000
% 0.15/5.46 % Propositional encoding time : 0.000
% 0.15/5.46 % Propositional solver time : 0.000
% 0.15/5.46 % Success case prop preproc time : 0.000
% 0.15/5.46 % Success case prop encoding time : 0.000
% 0.15/5.46 % Success case prop solver time : 0.000
% 0.15/5.46 % Current number of processed clauses : 241
% 0.15/5.46 % Positive orientable unit clauses : 48
% 0.15/5.46 % Positive unorientable unit clauses: 0
% 0.15/5.46 % Negative unit clauses : 3
% 0.15/5.46 % Non-unit-clauses : 190
% 0.15/5.46 % Current number of unprocessed clauses: 137
% 0.15/5.46 % ...number of literals in the above : 595
% 0.15/5.46 % Current number of archived formulas : 0
% 0.15/5.46 % Current number of archived clauses : 0
% 0.15/5.46 % Clause-clause subsumption calls (NU) : 19088
% 0.15/5.46 % Rec. Clause-clause subsumption calls : 16479
% 0.15/5.46 % Non-unit clause-clause subsumptions : 79
% 0.15/5.46 % Unit Clause-clause subsumption calls : 91
% 0.15/5.46 % Rewrite failures with RHS unbound : 0
% 0.15/5.46 % BW rewrite match attempts : 1
% 0.15/5.46 % BW rewrite match successes : 0
% 0.15/5.46 % Condensation attempts : 0
% 0.15/5.46 % Condensation successes : 0
% 0.15/5.46 % Termbank termtop insertions : 9479
% 0.15/5.46 % Search garbage collected termcells : 365
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.014 s
% 0.15/5.46 % System time : 0.004 s
% 0.15/5.46 % Total time : 0.018 s
% 0.15/5.46 % Maximum resident set size: 4016 pages
% 0.15/5.46
% 0.15/5.46 % -------------------------------------------------
% 0.15/5.46 % User time : 0.019 s
% 0.15/5.46 % System time : 0.007 s
% 0.15/5.46 % Total time : 0.026 s
% 0.15/5.46 % Maximum resident set size: 4864 pages
% 0.15/5.46 % E exiting
%------------------------------------------------------------------------------