%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN658-1 : 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 : n005.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 03:25:49 PM UTC 2026
% Result : Unsatisfiable 0.54s 0.51s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 14 unt; 8 nHn; 25 RR)
% Number of literals : 66 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 56 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p24_45,negated_conjecture,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_45) ).
cnf(p6_25,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
cnf(p6_49,negated_conjecture,
( ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3))))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p6(f21(X1),f10(c33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).
cnf(p6_48,negated_conjecture,
( p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p25(f22(X1,X2,X3),f18(X1))
| p6(f21(X1),f10(c33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_48) ).
cnf(p6_15,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_15) ).
cnf(p4_26,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_26) ).
cnf(p6_3,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
cnf(not_p6_11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_11) ).
cnf(p4_4,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(not_p4_44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_44) ).
cnf(c_0_10,negated_conjecture,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
inference(fof_simplification,[status(thm)],[p24_45]) ).
cnf(c_0_11,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
inference(fof_simplification,[status(thm)],[p6_25]) ).
cnf(c_0_12,negated_conjecture,
( ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3))))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p6(f21(X1),f10(c33)) ),
inference(fof_simplification,[status(thm)],[p6_49]) ).
cnf(c_0_13,negated_conjecture,
( ~ p25(X1,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X1))) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
( p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p25(f22(X1,X2,X3),f18(X1))
| p6(f21(X1),f10(c33)) ),
p6_48 ).
cnf(c_0_15,negated_conjecture,
( ~ p6(X3,X2)
| ~ p6(X3,X1)
| p6(X1,X2) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
p6_15 ).
cnf(c_0_17,negated_conjecture,
( ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3))))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| p6(f21(X1),f10(c33)) ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,X1),f5(f8(c27,f9(c28,c29)),c36,X2))
| p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),X1,X2)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
inference(fof_simplification,[status(thm)],[p4_26]) ).
cnf(c_0_20,negated_conjecture,
p6(X1,X1),
p6_3 ).
cnf(c_0_21,negated_conjecture,
( ~ p6(f21(f8(X3,f9(X2,X4))),X1)
| p6(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ p6(c28,f10(c33)),
inference(fof_simplification,[status(thm)],[not_p6_11]) ).
cnf(c_0_24,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
c_0_19 ).
cnf(c_0_25,negated_conjecture,
p4(X1,X1),
p4_4 ).
cnf(c_0_26,negated_conjecture,
( ~ p6(X2,X1)
| p6(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( p6(f10(c33),c28)
| p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
~ p6(c28,f10(c33)),
c_0_23 ).
cnf(c_0_29,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(fof_simplification,[status(thm)],[not_p4_44]) ).
cnf(c_0_30,negated_conjecture,
( ~ p4(X2,X1)
| p4(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
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
% 0.00/0.03 % Problem : SYN658-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:11:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.54/0.51 % Version: 3.5.1
% 0.54/0.51 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.54/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.54/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.54/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.54/0.51 % Starting sh5l with 300s (1) cores
% 0.54/0.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3321679 completed with status 0
% 0.54/0.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.54/0.51 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.54/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.54/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.54/0.51 % No SInE strategy applied
% 0.54/0.51 % Search class: FGHNM-FFMM31-DFFFFFNN
% 0.54/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.54/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.54/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.54/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.54/0.51 % Starting new_bool_3 with 136s (1) cores
% 0.54/0.51 % Starting new_bool_1 with 136s (1) cores
% 0.54/0.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3321685 completed with status 0
% 0.54/0.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.54/0.51 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.54/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.54/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.54/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.54/0.51 % No SInE strategy applied
% 0.54/0.51 % Search class: FGHNM-FFMM31-DFFFFFNN
% 0.54/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.54/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.54/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.54/0.51 % Preprocessing time : 0.002 s
% 0.54/0.51 % Presaturation interreduction done
% 0.54/0.51
% 0.54/0.51 % Proof found!
% 0.54/0.51 % SZS status Unsatisfiable
% 0.54/0.51 % SZS output start CNFRefutation
% See solution above
% 0.54/0.51 % Parsed axioms : 50
% 0.54/0.51 % Removed by relevancy pruning/SinE : 0
% 0.54/0.51 % Initial clauses : 50
% 0.54/0.51 % Removed in clause preprocessing : 0
% 0.54/0.51 % Initial clauses in saturation : 50
% 0.54/0.51 % Processed clauses : 426
% 0.54/0.51 % ...of these trivial : 33
% 0.54/0.51 % ...subsumed : 0
% 0.54/0.51 % ...remaining for further processing : 393
% 0.54/0.51 % Other redundant clauses eliminated : 0
% 0.54/0.51 % Clauses deleted for lack of memory : 0
% 0.54/0.51 % Backward-subsumed : 0
% 0.54/0.51 % Backward-rewritten : 2
% 0.54/0.51 % Generated clauses : 3179
% 0.54/0.51 % ...of the previous two non-redundant : 3013
% 0.54/0.51 % ...aggressively subsumed : 0
% 0.54/0.51 % Contextual simplify-reflections : 0
% 0.54/0.51 % Paramodulations : 3179
% 0.54/0.51 % Factorizations : 0
% 0.54/0.51 % NegExts : 0
% 0.54/0.51 % Equation resolutions : 0
% 0.54/0.51 % Disequality decompositions : 0
% 0.54/0.51 % Total rewrite steps : 193
% 0.54/0.51 % ...of those cached : 42
% 0.54/0.51 % Propositional unsat checks : 0
% 0.54/0.51 % Propositional check models : 0
% 0.54/0.51 % Propositional check unsatisfiable : 0
% 0.54/0.51 % Propositional clauses : 0
% 0.54/0.51 % Propositional clauses after purity: 0
% 0.54/0.51 % Propositional unsat core size : 0
% 0.54/0.51 % Propositional preprocessing time : 0.000
% 0.54/0.51 % Propositional encoding time : 0.000
% 0.54/0.51 % Propositional solver time : 0.000
% 0.54/0.51 % Success case prop preproc time : 0.000
% 0.54/0.51 % Success case prop encoding time : 0.000
% 0.54/0.51 % Success case prop solver time : 0.000
% 0.54/0.51 % Current number of processed clauses : 341
% 0.54/0.51 % Positive orientable unit clauses : 125
% 0.54/0.51 % Positive unorientable unit clauses: 0
% 0.54/0.51 % Negative unit clauses : 2
% 0.54/0.51 % Non-unit-clauses : 214
% 0.54/0.51 % Current number of unprocessed clauses: 2661
% 0.54/0.51 % ...number of literals in the above : 3770
% 0.54/0.51 % Current number of archived formulas : 0
% 0.54/0.51 % Current number of archived clauses : 52
% 0.54/0.51 % Clause-clause subsumption calls (NU) : 5990
% 0.54/0.51 % Rec. Clause-clause subsumption calls : 5413
% 0.54/0.51 % Non-unit clause-clause subsumptions : 0
% 0.54/0.51 % Unit Clause-clause subsumption calls : 87
% 0.54/0.51 % Rewrite failures with RHS unbound : 0
% 0.54/0.51 % BW rewrite match attempts : 736
% 0.54/0.51 % BW rewrite match successes : 1
% 0.54/0.51 % Condensation attempts : 0
% 0.54/0.51 % Condensation successes : 0
% 0.54/0.51 % Termbank termtop insertions : 86670
% 0.54/0.51 % Search garbage collected termcells : 127
% 0.54/0.51
% 0.54/0.51 % -------------------------------------------------
% 0.54/0.51 % User time : 0.063 s
% 0.54/0.51 % System time : 0.011 s
% 0.54/0.51 % Total time : 0.074 s
% 0.54/0.51 % Maximum resident set size: 3688 pages
% 0.54/0.51
% 0.54/0.51 % -------------------------------------------------
% 0.54/0.51 % User time : 0.324 s
% 0.54/0.51 % System time : 0.043 s
% 0.54/0.51 % Total time : 0.367 s
% 0.54/0.51 % Maximum resident set size: 4608 pages
% 0.54/0.51 % E exiting
%------------------------------------------------------------------------------