%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 39.39s 6.41s
% Output : CNFRefutation 39.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 57 ( 0 equ; 32 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 : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_25,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f11(X1,X2),f11(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
cnf(p7_26,negated_conjecture,
( ~ p7(X1,X3)
| ~ p7(X2,X4)
| p7(f10(X1,X2),f10(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(p19_23,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
cnf(p3_7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
cnf(p19_28,negated_conjecture,
( ~ p18(X1)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
cnf(not_p19_27,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c21_is_p18_2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p18_2) ).
cnf(c_0_8,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f11(X1,X2),f11(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_25]) ).
cnf(c_0_9,negated_conjecture,
( ~ p7(X1,X3)
| ~ p7(X2,X4)
| p7(f10(X1,X2),f10(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_26]) ).
cnf(c_0_10,negated_conjecture,
( ~ p7(X1,X3)
| ~ p3(X2,X4)
| p7(f11(X1,X2),f11(X3,X4)) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_12,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
inference(fof_simplification,[status(thm)],[p19_23]) ).
cnf(c_0_13,negated_conjecture,
( ~ p7(X1,X3)
| ~ p7(X2,X4)
| p7(f10(X1,X2),f10(X3,X4)) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X2,X3)
| p7(f11(X1,X2),f11(X1,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
p3(f4(f6(c21)),c22),
p3_7 ).
cnf(c_0_16,negated_conjecture,
( ~ p19(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p19(X1,X2) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
( ~ p7(X1,X3)
| p7(f10(X1,X2),f10(X3,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
p7(f11(X1,f4(f6(c21))),f11(X1,c22)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ p7(X3,X1)
| ~ p19(X3,X2)
| p19(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
p7(f10(f11(X1,f4(f6(c21))),X2),f10(f11(X1,c22),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ p18(X1)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1))) ),
inference(fof_simplification,[status(thm)],[p19_28]) ).
cnf(c_0_22,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(fof_simplification,[status(thm)],[not_p19_27]) ).
cnf(c_0_23,negated_conjecture,
( ~ p19(f10(f11(X1,f4(f6(c21))),X2),X3)
| p19(f10(f11(X1,c22),X2),X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( ~ p18(X1)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X1))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X1))) ),
c_0_21 ).
cnf(c_0_25,negated_conjecture,
p18(c21),
c21_is_p18_2 ).
cnf(c_0_26,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.57 % Computer : n010.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 11:09:41 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.61 Running first-order theorem proving
% 0.13/0.61 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
% 39.39/6.41 % Version: 3.5.1
% 39.39/6.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 39.39/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 39.39/6.41 % Starting new_bool_3 with 300s (1) cores
% 39.39/6.41 % Starting new_bool_1 with 300s (1) cores
% 39.39/6.41 % Starting sh5l with 300s (1) cores
% 39.39/6.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 745493 completed with status 0
% 39.39/6.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 39.39/6.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 39.39/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 39.39/6.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 39.39/6.41 % No SInE strategy applied
% 39.39/6.41 % Search class: FHUNM-FFMS21-DFFFFFNN
% 39.39/6.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 39.39/6.41 % Starting SubtermCWHack with 136s (1) cores
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 39.39/6.41 % Starting new_bool_3 with 136s (1) cores
% 39.39/6.41 % Starting new_bool_1 with 136s (1) cores
% 39.39/6.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with pid 745500 completed with status 0
% 39.39/6.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1
% 39.39/6.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 39.39/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 39.39/6.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 39.39/6.41 % No SInE strategy applied
% 39.39/6.41 % Search class: FHUNM-FFMS21-DFFFFFNN
% 39.39/6.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 39.39/6.41 % Starting SubtermCWHack with 136s (1) cores
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 39.39/6.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 39.39/6.41 % Preprocessing time : 0.002 s
% 39.39/6.41 % Presaturation interreduction done
% 39.39/6.41
% 39.39/6.41 % Proof found!
% 39.39/6.41 % SZS status Unsatisfiable
% 39.39/6.41 % SZS output start CNFRefutation
% See solution above
% 39.39/6.41 % Parsed axioms : 29
% 39.39/6.41 % Removed by relevancy pruning/SinE : 0
% 39.39/6.41 % Initial clauses : 29
% 39.39/6.41 % Removed in clause preprocessing : 0
% 39.39/6.41 % Initial clauses in saturation : 29
% 39.39/6.41 % Processed clauses : 4454
% 39.39/6.41 % ...of these trivial : 482
% 39.39/6.41 % ...subsumed : 0
% 39.39/6.41 % ...remaining for further processing : 3972
% 39.39/6.41 % Other redundant clauses eliminated : 0
% 39.39/6.41 % Clauses deleted for lack of memory : 0
% 39.39/6.41 % Backward-subsumed : 2
% 39.39/6.41 % Backward-rewritten : 8
% 39.39/6.41 % Generated clauses : 246059
% 39.39/6.41 % ...of the previous two non-redundant : 244200
% 39.39/6.41 % ...aggressively subsumed : 0
% 39.39/6.41 % Contextual simplify-reflections : 0
% 39.39/6.41 % Paramodulations : 246059
% 39.39/6.41 % Factorizations : 0
% 39.39/6.41 % NegExts : 0
% 39.39/6.41 % Equation resolutions : 0
% 39.39/6.41 % Disequality decompositions : 0
% 39.39/6.41 % Total rewrite steps : 2345
% 39.39/6.41 % ...of those cached : 581
% 39.39/6.41 % Propositional unsat checks : 0
% 39.39/6.41 % Propositional check models : 0
% 39.39/6.41 % Propositional check unsatisfiable : 0
% 39.39/6.41 % Propositional clauses : 0
% 39.39/6.41 % Propositional clauses after purity: 0
% 39.39/6.41 % Propositional unsat core size : 0
% 39.39/6.41 % Propositional preprocessing time : 0.000
% 39.39/6.41 % Propositional encoding time : 0.000
% 39.39/6.41 % Propositional solver time : 0.000
% 39.39/6.41 % Success case prop preproc time : 0.000
% 39.39/6.41 % Success case prop encoding time : 0.000
% 39.39/6.41 % Success case prop solver time : 0.000
% 39.39/6.41 % Current number of processed clauses : 3933
% 39.39/6.41 % Positive orientable unit clauses : 1240
% 39.39/6.41 % Positive unorientable unit clauses: 0
% 39.39/6.41 % Negative unit clauses : 1
% 39.39/6.41 % Non-unit-clauses : 2692
% 39.39/6.41 % Current number of unprocessed clauses: 239769
% 39.39/6.41 % ...number of literals in the above : 449086
% 39.39/6.41 % Current number of archived formulas : 0
% 39.39/6.41 % Current number of archived clauses : 39
% 39.39/6.41 % Clause-clause subsumption calls (NU) : 590942
% 39.39/6.41 % Rec. Clause-clause subsumption calls : 464461
% 39.39/6.41 % Non-unit clause-clause subsumptions : 2
% 39.39/6.41 % Unit Clause-clause subsumption calls : 5458
% 39.39/6.41 % Rewrite failures with RHS unbound : 0
% 39.39/6.41 % BW rewrite match attempts : 23621
% 39.39/6.41 % BW rewrite match successes : 8
% 39.39/6.41 % Condensation attempts : 0
% 39.39/6.41 % Condensation successes : 0
% 39.39/6.41 % Termbank termtop insertions : 7197523
% 39.39/6.41 % Search garbage collected termcells : 74
% 39.39/6.41
% 39.39/6.41 % -------------------------------------------------
% 39.39/6.41 % User time : 5.226 s
% 39.39/6.41 % System time : 0.340 s
% 39.39/6.41 % Total time : 5.566 s
% 39.39/6.41 % Maximum resident set size: 3668 pages
% 39.39/6.41
% 39.39/6.41 % -------------------------------------------------
% 39.39/6.41 % User time : 26.571 s
% 39.39/6.41 % System time : 1.465 s
% 39.39/6.41 % Total time : 28.036 s
% 39.39/6.41 % Maximum resident set size: 4864 pages
% 39.39/6.41 % E exiting
%------------------------------------------------------------------------------