%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN599-1 : 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 : 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 03:25:42 PM UTC 2026
% Result : Unsatisfiable 199.12s 29.54s
% Output : CNFRefutation 199.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 13 unt; 0 nHn; 27 RR)
% Number of literals : 66 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_15,negated_conjecture,
( ~ p3(X1,X2)
| p3(f14(X1),f14(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
cnf(p7_25,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
cnf(p3_7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p19_23,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
cnf(p19_29,negated_conjecture,
( ~ p18(X1)
| p19(f15(f16(X1)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_29) ).
cnf(p7_26,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(not_p19_27,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c21_is_p18_2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
cnf(c_0_9,negated_conjecture,
( ~ p3(X1,X2)
| p3(f14(X1),f14(X2)) ),
inference(fof_simplification,[status(thm)],[p3_15]) ).
cnf(c_0_10,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f9(X1,X2),f9(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_25]) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X1,X2)
| p3(f14(X1),f14(X2)) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
p3(f4(f6(c21)),c22),
p3_7 ).
cnf(c_0_13,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
inference(fof_simplification,[status(thm)],[p19_23]) ).
cnf(c_0_14,negated_conjecture,
( ~ p18(X1)
| p19(f15(f16(X1)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
inference(fof_simplification,[status(thm)],[p19_29]) ).
cnf(c_0_15,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_26]) ).
cnf(c_0_16,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f9(X1,X2),f9(X3,X4)) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
p3(f14(f4(f6(c21))),f14(c22)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
( ~ p18(X1)
| p19(f15(f16(X1)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))) ),
c_0_14 ).
cnf(c_0_20,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
c_0_15 ).
cnf(c_0_21,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_22,negated_conjecture,
( ~ p7(X1,X2)
| p7(f9(X1,f14(f4(f6(c21)))),f9(X2,f14(c22))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( ~ p18(X3)
| ~ p7(f15(f16(X3)),X1)
| ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X3)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),X2)
| p19(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
p7(f9(X1,f14(f4(f6(c21)))),f9(X1,f14(c22))),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
inference(fof_simplification,[status(thm)],[not_p19_27]) ).
cnf(c_0_27,negated_conjecture,
( ~ p18(X1)
| ~ p7(f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X1)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),X2)
| p19(f15(f16(X1)),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
p7(f8(f9(X1,f14(f4(f6(c21)))),X2),f8(f9(X1,f14(c22)),X2)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
p18(c21),
c21_is_p18_2 ).
cnf(c_0_30,negated_conjecture,
~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN599-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:12:22 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 199.12/29.54 % Version: 3.5.1
% 199.12/29.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 199.12/29.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 199.12/29.54 % Starting new_bool_3 with 300s (1) cores
% 199.12/29.54 % Starting new_bool_1 with 300s (1) cores
% 199.12/29.54 % Starting sh5l with 300s (1) cores
% 199.12/29.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2119391 completed with status 0
% 199.12/29.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 199.12/29.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 199.12/29.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 199.12/29.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 199.12/29.54 % No SInE strategy applied
% 199.12/29.54 % Search class: FHUNM-FFMS21-DFFFFFNN
% 199.12/29.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 199.12/29.54 % Starting SubtermCWHack with 136s (1) cores
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 199.12/29.54 % Starting new_bool_3 with 136s (1) cores
% 199.12/29.54 % Starting new_bool_1 with 136s (1) cores
% 199.12/29.54 % new_bool_3 with pid 2119407 completed with status 0
% 199.12/29.54 % Result found by new_bool_3
% 199.12/29.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 199.12/29.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 199.12/29.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 199.12/29.54 % No SInE strategy applied
% 199.12/29.54 % Search class: FHUNM-FFMS21-DFFFFFNN
% 199.12/29.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 199.12/29.54 % Starting SubtermCWHack with 136s (1) cores
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 199.12/29.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 199.12/29.54 % Starting new_bool_3 with 136s (1) cores
% 199.12/29.54 % Preprocessing time : 0.002 s
% 199.12/29.54 % Presaturation interreduction done
% 199.12/29.54
% 199.12/29.54 % Proof found!
% 199.12/29.54 % SZS status Unsatisfiable
% 199.12/29.54 % SZS output start CNFRefutation
% See solution above
% 199.12/29.54 % Parsed axioms : 29
% 199.12/29.54 % Removed by relevancy pruning/SinE : 0
% 199.12/29.54 % Initial clauses : 29
% 199.12/29.54 % Removed in clause preprocessing : 0
% 199.12/29.54 % Initial clauses in saturation : 29
% 199.12/29.54 % Processed clauses : 27286
% 199.12/29.54 % ...of these trivial : 2605
% 199.12/29.54 % ...subsumed : 0
% 199.12/29.54 % ...remaining for further processing : 24681
% 199.12/29.54 % Other redundant clauses eliminated : 0
% 199.12/29.54 % Clauses deleted for lack of memory : 0
% 199.12/29.54 % Backward-subsumed : 17
% 199.12/29.54 % Backward-rewritten : 19
% 199.12/29.54 % Generated clauses : 1655712
% 199.12/29.54 % ...of the previous two non-redundant : 1625362
% 199.12/29.54 % ...aggressively subsumed : 0
% 199.12/29.54 % Contextual simplify-reflections : 0
% 199.12/29.54 % Paramodulations : 1655712
% 199.12/29.54 % Factorizations : 0
% 199.12/29.54 % NegExts : 0
% 199.12/29.54 % Equation resolutions : 0
% 199.12/29.54 % Disequality decompositions : 0
% 199.12/29.54 % Total rewrite steps : 32966
% 199.12/29.54 % ...of those cached : 8642
% 199.12/29.54 % Propositional unsat checks : 4
% 199.12/29.54 % Propositional check models : 3
% 199.12/29.54 % Propositional check unsatisfiable : 0
% 199.12/29.54 % Propositional clauses : 0
% 199.12/29.54 % Propositional clauses after purity: 0
% 199.12/29.54 % Propositional unsat core size : 0
% 199.12/29.54 % Propositional preprocessing time : 0.000
% 199.12/29.54 % Propositional encoding time : 3.318
% 199.12/29.54 % Propositional solver time : 0.154
% 199.12/29.54 % Success case prop preproc time : 0.000
% 199.12/29.54 % Success case prop encoding time : 0.000
% 199.12/29.54 % Success case prop solver time : 0.000
% 199.12/29.54 % Current number of processed clauses : 24616
% 199.12/29.54 % Positive orientable unit clauses : 14485
% 199.12/29.54 % Positive unorientable unit clauses: 0
% 199.12/29.54 % Negative unit clauses : 1
% 199.12/29.54 % Non-unit-clauses : 10130
% 199.12/29.54 % Current number of unprocessed clauses: 1597831
% 199.12/29.54 % ...number of literals in the above : 1616709
% 199.12/29.54 % Current number of archived formulas : 0
% 199.12/29.54 % Current number of archived clauses : 65
% 199.12/29.54 % Clause-clause subsumption calls (NU) : 7071143
% 199.12/29.54 % Rec. Clause-clause subsumption calls : 5977728
% 199.12/29.54 % Non-unit clause-clause subsumptions : 17
% 199.12/29.54 % Unit Clause-clause subsumption calls : 88624
% 199.12/29.54 % Rewrite failures with RHS unbound : 0
% 199.12/29.54 % BW rewrite match attempts : 3382775
% 199.12/29.54 % BW rewrite match successes : 19
% 199.12/29.54 % Condensation attempts : 0
% 199.12/29.54 % Condensation successes : 0
% 199.12/29.54 % Termbank termtop insertions : 56474735
% 199.12/29.54 % Search garbage collected termcells : 74
% 199.12/29.54
% 199.12/29.54 % -------------------------------------------------
% 199.12/29.54 % User time : 26.512 s
% 199.12/29.54 % System time : 1.338 s
% 199.12/29.54 % Total time : 27.850 s
% 199.12/29.54 % Maximum resident set size: 3668 pages
% 199.12/29.54
% 199.12/29.54 % -------------------------------------------------
% 199.12/29.54 % User time : 134.801 s
% 199.12/29.54 % System time : 6.317 s
% 199.12/29.54 % Total time : 141.118 s
% 199.12/29.54 % Maximum resident set size: 4864 pages
% 199.12/29.54 % E exiting
%------------------------------------------------------------------------------