%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN645-1 : 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 : n019.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 03:25:48 PM UTC 2026
% Result : Unsatisfiable 16.60s 2.87s
% Output : CNFRefutation 16.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 19 unt; 10 nHn; 30 RR)
% Number of literals : 102 ( 0 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 88 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p12_41,negated_conjecture,
( ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_41) ).
cnf(p12_16,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).
cnf(p22_7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).
cnf(p12_1,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
cnf(p25_37,negated_conjecture,
( ~ p23(X5,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).
cnf(f17_is_not_p24_32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
cnf(p23_9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_9) ).
cnf(not_p12_22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_22) ).
cnf(p25_23,negated_conjecture,
( ~ p12(X4,X1)
| ~ p25(X4,X3)
| ~ p12(X3,X2)
| p25(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_23) ).
cnf(p12_33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).
cnf(p12_42,negated_conjecture,
( ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1))))
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_42) ).
cnf(c_0_11,negated_conjecture,
( ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
inference(fof_simplification,[status(thm)],[p12_41]) ).
cnf(c_0_12,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
inference(fof_simplification,[status(thm)],[p12_16]) ).
cnf(c_0_13,negated_conjecture,
( ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p23(f21(X2,X3,X4,X5,X1),f8(f10(X2,f11(X3,X4))))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
p22_7 ).
cnf(c_0_15,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
p12(X1,X1),
p12_1 ).
cnf(c_0_17,negated_conjecture,
( ~ p23(X5,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5))) ),
inference(fof_simplification,[status(thm)],[p25_37]) ).
cnf(c_0_18,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(fof_simplification,[status(thm)],[f17_is_not_p24_32]) ).
cnf(c_0_19,negated_conjecture,
( ~ p23(X4,f8(f10(X1,f11(c27,X2))))
| p12(X4,f16(f10(X1,f11(c27,X2)),c32,X3))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3)))
| p23(f21(X1,c27,X2,X3,X4),f8(f10(X1,f11(c27,X2)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
p23_9 ).
cnf(c_0_21,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(fof_simplification,[status(thm)],[not_p12_22]) ).
cnf(c_0_22,negated_conjecture,
( ~ p12(X4,X1)
| ~ p25(X4,X3)
| ~ p12(X3,X2)
| p25(X1,X2) ),
inference(fof_simplification,[status(thm)],[p25_23]) ).
cnf(c_0_23,negated_conjecture,
( ~ p12(X2,X1)
| p12(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
p12_33 ).
cnf(c_0_25,negated_conjecture,
( ~ p23(X5,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f13(f14(X1,f16(f10(X2,f11(X3,X4)),c32,X1))),f13(f14(X1,X5))) ),
c_0_17 ).
cnf(c_0_26,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
c_0_18 ).
cnf(c_0_27,negated_conjecture,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,X1))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X1)))
| p23(f21(c29,c27,c30,X1,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
c_0_21 ).
cnf(c_0_29,negated_conjecture,
( ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1))))
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
inference(fof_simplification,[status(thm)],[p12_42]) ).
cnf(c_0_30,negated_conjecture,
( ~ p12(X4,X1)
| ~ p25(X4,X3)
| ~ p12(X3,X2)
| p25(X1,X2) ),
c_0_22 ).
cnf(c_0_31,negated_conjecture,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( ~ p23(X4,f8(f10(X2,f11(c27,X3))))
| p25(f13(f14(X1,f16(f10(X2,f11(c27,X3)),c32,X1))),f13(f14(X1,X4))) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_33,negated_conjecture,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( ~ p25(f13(f14(X5,X1)),f13(f14(X5,f21(X2,X3,X4,X5,X1))))
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X5)))
| p12(X1,f16(f10(X2,f11(X3,X4)),c32,X5)) ),
c_0_29 ).
cnf(c_0_35,negated_conjecture,
( ~ p12(X2,X1)
| ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X2)
| p25(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,c31,c28)))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ~ p23(X4,f8(f10(X1,f11(c27,X2))))
| ~ p25(f13(f14(X3,X4)),f13(f14(X3,f21(X1,c27,X2,X3,X4))))
| p12(X4,f16(f10(X1,f11(c27,X2)),c32,X3))
| p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3))) ),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_38,negated_conjecture,
( ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),X1)
| p25(f13(f14(c31,c28)),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( ~ p25(f13(f14(X1,c28)),f13(f14(X1,f21(c29,c27,c30,X1,c28))))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X1))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X1))) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_40,negated_conjecture,
p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:11:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 16.60/2.87 % Version: 3.5.1
% 16.60/2.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.60/2.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.60/2.87 % Starting new_bool_3 with 300s (1) cores
% 16.60/2.87 % Starting new_bool_1 with 300s (1) cores
% 16.60/2.87 % Starting sh5l with 300s (1) cores
% 16.60/2.87 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2423170 completed with status 0
% 16.60/2.87 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 16.60/2.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.60/2.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.60/2.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.60/2.87 % No SInE strategy applied
% 16.60/2.87 % Search class: FGUNM-FFMS31-MFFFFFNN
% 16.60/2.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.60/2.87 % Starting SubtermCWHack with 136s (1) cores
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 16.60/2.87 % Starting new_bool_3 with 136s (1) cores
% 16.60/2.87 % Starting new_bool_1 with 136s (1) cores
% 16.60/2.87 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with pid 2423176 completed with status 0
% 16.60/2.87 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S
% 16.60/2.87 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.60/2.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.60/2.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.60/2.87 % No SInE strategy applied
% 16.60/2.87 % Search class: FGUNM-FFMS31-MFFFFFNN
% 16.60/2.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.60/2.87 % Starting SubtermCWHack with 136s (1) cores
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.60/2.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 16.60/2.87 % Preprocessing time : 0.002 s
% 16.60/2.87 % Presaturation interreduction done
% 16.60/2.87
% 16.60/2.87 % Proof found!
% 16.60/2.87 % SZS status Unsatisfiable
% 16.60/2.87 % SZS output start CNFRefutation
% See solution above
% 16.60/2.87 % Parsed axioms : 42
% 16.60/2.87 % Removed by relevancy pruning/SinE : 0
% 16.60/2.87 % Initial clauses : 42
% 16.60/2.87 % Removed in clause preprocessing : 0
% 16.60/2.87 % Initial clauses in saturation : 42
% 16.60/2.87 % Processed clauses : 2859
% 16.60/2.87 % ...of these trivial : 321
% 16.60/2.87 % ...subsumed : 0
% 16.60/2.87 % ...remaining for further processing : 2538
% 16.60/2.87 % Other redundant clauses eliminated : 0
% 16.60/2.87 % Clauses deleted for lack of memory : 0
% 16.60/2.87 % Backward-subsumed : 50
% 16.60/2.87 % Backward-rewritten : 22
% 16.60/2.87 % Generated clauses : 136689
% 16.60/2.87 % ...of the previous two non-redundant : 134820
% 16.60/2.87 % ...aggressively subsumed : 0
% 16.60/2.87 % Contextual simplify-reflections : 0
% 16.60/2.87 % Paramodulations : 136689
% 16.60/2.87 % Factorizations : 0
% 16.60/2.87 % NegExts : 0
% 16.60/2.87 % Equation resolutions : 0
% 16.60/2.87 % Disequality decompositions : 0
% 16.60/2.87 % Total rewrite steps : 2208
% 16.60/2.87 % ...of those cached : 806
% 16.60/2.87 % Propositional unsat checks : 0
% 16.60/2.87 % Propositional check models : 0
% 16.60/2.87 % Propositional check unsatisfiable : 0
% 16.60/2.87 % Propositional clauses : 0
% 16.60/2.87 % Propositional clauses after purity: 0
% 16.60/2.87 % Propositional unsat core size : 0
% 16.60/2.87 % Propositional preprocessing time : 0.000
% 16.60/2.87 % Propositional encoding time : 0.000
% 16.60/2.87 % Propositional solver time : 0.000
% 16.60/2.87 % Success case prop preproc time : 0.000
% 16.60/2.87 % Success case prop encoding time : 0.000
% 16.60/2.87 % Success case prop solver time : 0.000
% 16.60/2.87 % Current number of processed clauses : 2424
% 16.60/2.87 % Positive orientable unit clauses : 621
% 16.60/2.87 % Positive unorientable unit clauses: 0
% 16.60/2.87 % Negative unit clauses : 2
% 16.60/2.87 % Non-unit-clauses : 1801
% 16.60/2.87 % Current number of unprocessed clauses: 132001
% 16.60/2.87 % ...number of literals in the above : 135390
% 16.60/2.87 % Current number of archived formulas : 0
% 16.60/2.87 % Current number of archived clauses : 114
% 16.60/2.87 % Clause-clause subsumption calls (NU) : 172037
% 16.60/2.87 % Rec. Clause-clause subsumption calls : 164953
% 16.60/2.87 % Non-unit clause-clause subsumptions : 50
% 16.60/2.87 % Unit Clause-clause subsumption calls : 13051
% 16.60/2.87 % Rewrite failures with RHS unbound : 0
% 16.60/2.87 % BW rewrite match attempts : 17195
% 16.60/2.87 % BW rewrite match successes : 22
% 16.60/2.87 % Condensation attempts : 0
% 16.60/2.87 % Condensation successes : 0
% 16.60/2.87 % Termbank termtop insertions : 7547944
% 16.60/2.87 % Search garbage collected termcells : 152
% 16.60/2.87
% 16.60/2.87 % -------------------------------------------------
% 16.60/2.87 % User time : 2.252 s
% 16.60/2.87 % System time : 0.127 s
% 16.60/2.87 % Total time : 2.379 s
% 16.60/2.87 % Maximum resident set size: 3684 pages
% 16.60/2.87
% 16.60/2.87 % -------------------------------------------------
% 16.60/2.87 % User time : 11.327 s
% 16.60/2.87 % System time : 0.628 s
% 16.60/2.87 % Total time : 11.955 s
% 16.60/2.87 % Maximum resident set size: 4864 pages
% 16.60/2.87 % E exiting
%------------------------------------------------------------------------------