%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN718-1 : 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 : n013.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 03:25:57 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.72s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 18 unt; 0 nHn; 28 RR)
% Number of literals : 63 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_101,negated_conjecture,
( ~ p3(X2,X4)
| ~ p20(X1,X3)
| p21(f22(X1,X2),f22(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_101) ).
cnf(p20_26,negated_conjecture,
p20(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
cnf(p57_72,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f30(c85,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_72) ).
cnf(p57_76,negated_conjecture,
( ~ p21(X4,X2)
| ~ p57(X3,X4)
| ~ p25(X3,X1)
| p57(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_76) ).
cnf(p3_36,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
cnf(p57_107,negated_conjecture,
( ~ p57(f26(f30(c85,X1),X4),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| p57(f26(f30(c85,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_107) ).
cnf(p57_80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_80) ).
cnf(p57_81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_81) ).
cnf(p25_23,negated_conjecture,
p25(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
cnf(not_p57_105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_105) ).
cnf(c_0_10,negated_conjecture,
( ~ p3(X2,X4)
| ~ p20(X1,X3)
| p21(f22(X1,X2),f22(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p21_101]) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X2,X4)
| ~ p20(X1,X3)
| p21(f22(X1,X2),f22(X3,X4)) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p20(X1,X1),
p20_26 ).
cnf(c_0_13,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f30(c85,X1),X2),X3) ),
inference(fof_simplification,[status(thm)],[p57_72]) ).
cnf(c_0_14,negated_conjecture,
( ~ p21(X4,X2)
| ~ p57(X3,X4)
| ~ p25(X3,X1)
| p57(X1,X2) ),
inference(fof_simplification,[status(thm)],[p57_76]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X2,X3)
| p21(f22(X1,X2),f22(X1,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p3(c84,f10(c72,c73)),
p3_36 ).
cnf(c_0_17,negated_conjecture,
( ~ p57(f26(f30(c85,X1),X4),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| p57(f26(f30(c85,X1),X2),X3) ),
inference(fof_simplification,[status(thm)],[p57_107]) ).
cnf(c_0_18,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f30(c85,X1),X2),X3) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
p57_80 ).
cnf(c_0_20,negated_conjecture,
( ~ p21(X4,X2)
| ~ p57(X3,X4)
| ~ p25(X3,X1)
| p57(X1,X2) ),
c_0_14 ).
cnf(c_0_21,negated_conjecture,
p21(f22(X1,c84),f22(X1,f10(c72,c73))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( ~ p57(f26(f30(c85,X1),X4),X3)
| ~ p57(f26(f30(c85,X1),X2),X4)
| p57(f26(f30(c85,X1),X2),X3) ),
c_0_17 ).
cnf(c_0_23,negated_conjecture,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
p57_81 ).
cnf(c_0_25,negated_conjecture,
( ~ p25(X3,X1)
| ~ p57(X3,f22(X2,c84))
| p57(X1,f22(X2,f10(c72,c73))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
p25(X1,X1),
p25_23 ).
cnf(c_0_27,negated_conjecture,
( ~ p57(f26(f30(c85,c70),X1),f22(f24(c71,c81),c82))
| p57(f26(f30(c85,c70),X1),f22(f24(c71,c83),c84)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(fof_simplification,[status(thm)],[not_p57_105]) ).
cnf(c_0_30,negated_conjecture,
( ~ p57(X1,f22(X2,c84))
| p57(X1,f22(X2,f10(c72,c73))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
c_0_29 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.58 % Computer : n013.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Mon Sep 21 11:13:03 UTC 2026
% 0.10/10.59 % CPUTime :
% 0.10/10.59 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.63 Running first-order theorem proving
% 0.14/10.63 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
% 0.14/10.72 % Version: 3.5.1
% 0.14/10.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/10.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/10.72 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.72 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.72 % Starting sh5l with 300s (1) cores
% 0.14/10.72 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 635958 completed with status 0
% 0.14/10.72 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/10.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/10.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/10.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.72 % No SInE strategy applied
% 0.14/10.72 % Search class: FGHNM-FFMM22-DFFFFFNN
% 0.14/10.72 % partial match(2): FGHNF-FFMM22-SFFFFFNN
% 0.14/10.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.72 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/10.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/10.72 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.72 % Starting new_bool_1 with 136s (1) cores
% 0.14/10.72 % new_bool_3 with pid 635966 completed with status 0
% 0.14/10.72 % Result found by new_bool_3
% 0.14/10.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/10.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/10.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.72 % No SInE strategy applied
% 0.14/10.72 % Search class: FGHNM-FFMM22-DFFFFFNN
% 0.14/10.72 % partial match(2): FGHNF-FFMM22-SFFFFFNN
% 0.14/10.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.72 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/10.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/10.72 % Starting new_bool_3 with 136s (1) cores
% 0.14/10.72 % Preprocessing time : 0.003 s
% 0.14/10.72 % Presaturation interreduction done
% 0.14/10.72
% 0.14/10.72 % Proof found!
% 0.14/10.72 % SZS status Unsatisfiable
% 0.14/10.72 % SZS output start CNFRefutation
% See solution above
% 0.14/10.73 % Parsed axioms : 118
% 0.14/10.73 % Removed by relevancy pruning/SinE : 0
% 0.14/10.73 % Initial clauses : 118
% 0.14/10.73 % Removed in clause preprocessing : 0
% 0.14/10.73 % Initial clauses in saturation : 118
% 0.14/10.73 % Processed clauses : 662
% 0.14/10.73 % ...of these trivial : 22
% 0.14/10.73 % ...subsumed : 13
% 0.14/10.73 % ...remaining for further processing : 627
% 0.14/10.73 % Other redundant clauses eliminated : 0
% 0.14/10.73 % Clauses deleted for lack of memory : 0
% 0.14/10.73 % Backward-subsumed : 0
% 0.14/10.73 % Backward-rewritten : 0
% 0.14/10.73 % Generated clauses : 769
% 0.14/10.73 % ...of the previous two non-redundant : 589
% 0.14/10.73 % ...aggressively subsumed : 0
% 0.14/10.73 % Contextual simplify-reflections : 0
% 0.14/10.73 % Paramodulations : 769
% 0.14/10.73 % Factorizations : 0
% 0.14/10.73 % NegExts : 0
% 0.14/10.73 % Equation resolutions : 0
% 0.14/10.73 % Disequality decompositions : 0
% 0.14/10.73 % Total rewrite steps : 176
% 0.14/10.73 % ...of those cached : 31
% 0.14/10.73 % Propositional unsat checks : 0
% 0.14/10.73 % Propositional check models : 0
% 0.14/10.73 % Propositional check unsatisfiable : 0
% 0.14/10.73 % Propositional clauses : 0
% 0.14/10.73 % Propositional clauses after purity: 0
% 0.14/10.73 % Propositional unsat core size : 0
% 0.14/10.73 % Propositional preprocessing time : 0.000
% 0.14/10.73 % Propositional encoding time : 0.000
% 0.14/10.73 % Propositional solver time : 0.000
% 0.14/10.73 % Success case prop preproc time : 0.000
% 0.14/10.73 % Success case prop encoding time : 0.000
% 0.14/10.73 % Success case prop solver time : 0.000
% 0.14/10.73 % Current number of processed clauses : 509
% 0.14/10.73 % Positive orientable unit clauses : 201
% 0.14/10.73 % Positive unorientable unit clauses: 0
% 0.14/10.73 % Negative unit clauses : 4
% 0.14/10.73 % Non-unit-clauses : 304
% 0.14/10.73 % Current number of unprocessed clauses: 149
% 0.14/10.73 % ...number of literals in the above : 283
% 0.14/10.73 % Current number of archived formulas : 0
% 0.14/10.73 % Current number of archived clauses : 118
% 0.14/10.73 % Clause-clause subsumption calls (NU) : 18425
% 0.14/10.73 % Rec. Clause-clause subsumption calls : 15728
% 0.14/10.73 % Non-unit clause-clause subsumptions : 9
% 0.14/10.73 % Unit Clause-clause subsumption calls : 548
% 0.14/10.73 % Rewrite failures with RHS unbound : 0
% 0.14/10.73 % BW rewrite match attempts : 3229
% 0.14/10.73 % BW rewrite match successes : 0
% 0.14/10.73 % Condensation attempts : 0
% 0.14/10.73 % Condensation successes : 0
% 0.14/10.73 % Termbank termtop insertions : 32255
% 0.14/10.73 % Search garbage collected termcells : 419
% 0.14/10.73
% 0.14/10.73 % -------------------------------------------------
% 0.14/10.73 % User time : 0.068 s
% 0.14/10.73 % System time : 0.006 s
% 0.14/10.73 % Total time : 0.074 s
% 0.14/10.73 % Maximum resident set size: 3760 pages
% 0.14/10.73
% 0.14/10.73 % -------------------------------------------------
% 0.14/10.73 % User time : 0.320 s
% 0.14/10.73 % System time : 0.042 s
% 0.14/10.73 % Total time : 0.362 s
% 0.14/10.73 % Maximum resident set size: 4608 pages
% 0.14/10.73 % E exiting
%------------------------------------------------------------------------------