%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN651-1 : 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 : 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 0.11s 5.59s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 25 RR)
% Number of literals : 45 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_41,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
cnf(p23_44,negated_conjecture,
( ~ p23(f5(f7(f10(c24,c26),c27),X3),X2)
| ~ p23(f5(c27,X1),X3)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_45,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
cnf(p23_43,negated_conjecture,
( ~ p23(f5(f7(f10(c24,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(p23_13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
cnf(not_p23_28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
cnf(c_0_7,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4) ),
inference(fof_simplification,[status(thm)],[p23_41]) ).
cnf(c_0_8,negated_conjecture,
( ~ p23(f5(f7(f10(c24,c26),c27),X3),X2)
| ~ p23(f5(c27,X1),X3)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2) ),
inference(fof_simplification,[status(thm)],[p23_44]) ).
cnf(c_0_9,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4)) ),
inference(fof_simplification,[status(thm)],[p23_45]) ).
cnf(c_0_10,negated_conjecture,
( ~ p23(f5(f7(f10(c24,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
inference(fof_simplification,[status(thm)],[p23_43]) ).
cnf(c_0_11,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
p23_26 ).
cnf(c_0_13,negated_conjecture,
( ~ p23(f5(f7(f10(c24,c26),c27),X3),X2)
| ~ p23(f5(c27,X1),X3)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2) ),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
p23(f5(c27,c28),c30),
p23_13 ).
cnf(c_0_15,negated_conjecture,
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4)) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
( ~ p23(f5(f7(f10(c24,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ p23(f5(f7(f10(c24,c26),c27),c30),X1)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(fof_simplification,[status(thm)],[not_p23_28]) ).
cnf(c_0_21,negated_conjecture,
( ~ p23(f5(f7(f10(c24,X1),c27),X2),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| p23(f5(f7(f10(c24,f12(c25,X1)),c27),X2),c29) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
c_0_20 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.52 % Computer : n019.cluster.edu
% 0.11/5.52 % Model : x86_64 x86_64
% 0.11/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.52 % Memory : 8046.5625MB
% 0.11/5.52 % OS : Linux 6.8.0-71-generic
% 0.11/5.52 % CPULimit : 300
% 0.11/5.52 % WCLimit : 300
% 0.11/5.52 % DateTime : Mon Sep 21 11:11:41 UTC 2026
% 0.11/5.52 % CPUTime :
% 0.11/5.52 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.56 Running first-order theorem proving
% 0.11/5.56 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
% 0.11/5.59 % Version: 3.5.1
% 0.11/5.59 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/5.59 % Starting new_bool_3 with 300s (1) cores
% 0.11/5.59 % Starting new_bool_1 with 300s (1) cores
% 0.11/5.59 % Starting sh5l with 300s (1) cores
% 0.11/5.59 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2422363 completed with status 0
% 0.11/5.59 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.11/5.59 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/5.59 % No SInE strategy applied
% 0.11/5.59 % Search class: FHUNM-FFMF22-MFFFFFNN
% 0.11/5.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.11/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.11/5.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/5.59 % Starting new_bool_3 with 136s (1) cores
% 0.11/5.59 % Starting new_bool_1 with 136s (1) cores
% 0.11/5.59 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2422369 completed with status 0
% 0.11/5.59 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.11/5.59 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/5.59 % No SInE strategy applied
% 0.11/5.59 % Search class: FHUNM-FFMF22-MFFFFFNN
% 0.11/5.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.11/5.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.11/5.59 % Preprocessing time : 0.002 s
% 0.11/5.59 % Presaturation interreduction done
% 0.11/5.59
% 0.11/5.59 % Proof found!
% 0.11/5.59 % SZS status Unsatisfiable
% 0.11/5.59 % SZS output start CNFRefutation
% See solution above
% 0.11/5.59 % Parsed axioms : 45
% 0.11/5.59 % Removed by relevancy pruning/SinE : 0
% 0.11/5.59 % Initial clauses : 45
% 0.11/5.59 % Removed in clause preprocessing : 0
% 0.11/5.59 % Initial clauses in saturation : 45
% 0.11/5.59 % Processed clauses : 131
% 0.11/5.59 % ...of these trivial : 0
% 0.11/5.59 % ...subsumed : 0
% 0.11/5.59 % ...remaining for further processing : 131
% 0.11/5.59 % Other redundant clauses eliminated : 0
% 0.11/5.59 % Clauses deleted for lack of memory : 0
% 0.11/5.59 % Backward-subsumed : 0
% 0.11/5.59 % Backward-rewritten : 0
% 0.11/5.59 % Generated clauses : 86
% 0.11/5.59 % ...of the previous two non-redundant : 59
% 0.11/5.59 % ...aggressively subsumed : 0
% 0.11/5.59 % Contextual simplify-reflections : 0
% 0.11/5.59 % Paramodulations : 86
% 0.11/5.59 % Factorizations : 0
% 0.11/5.59 % NegExts : 0
% 0.11/5.59 % Equation resolutions : 0
% 0.11/5.59 % Disequality decompositions : 0
% 0.11/5.59 % Total rewrite steps : 25
% 0.11/5.59 % ...of those cached : 2
% 0.11/5.59 % Propositional unsat checks : 0
% 0.11/5.59 % Propositional check models : 0
% 0.11/5.59 % Propositional check unsatisfiable : 0
% 0.11/5.59 % Propositional clauses : 0
% 0.11/5.59 % Propositional clauses after purity: 0
% 0.11/5.59 % Propositional unsat core size : 0
% 0.11/5.59 % Propositional preprocessing time : 0.000
% 0.11/5.59 % Propositional encoding time : 0.000
% 0.11/5.59 % Propositional solver time : 0.000
% 0.11/5.59 % Success case prop preproc time : 0.000
% 0.11/5.59 % Success case prop encoding time : 0.000
% 0.11/5.59 % Success case prop solver time : 0.000
% 0.11/5.59 % Current number of processed clauses : 86
% 0.11/5.59 % Positive orientable unit clauses : 26
% 0.11/5.59 % Positive unorientable unit clauses: 0
% 0.11/5.59 % Negative unit clauses : 1
% 0.11/5.59 % Non-unit-clauses : 59
% 0.11/5.59 % Current number of unprocessed clauses: 16
% 0.11/5.59 % ...number of literals in the above : 29
% 0.11/5.59 % Current number of archived formulas : 0
% 0.11/5.59 % Current number of archived clauses : 45
% 0.11/5.59 % Clause-clause subsumption calls (NU) : 592
% 0.11/5.59 % Rec. Clause-clause subsumption calls : 571
% 0.11/5.59 % Non-unit clause-clause subsumptions : 0
% 0.11/5.59 % Unit Clause-clause subsumption calls : 5
% 0.11/5.59 % Rewrite failures with RHS unbound : 0
% 0.11/5.59 % BW rewrite match attempts : 13
% 0.11/5.59 % BW rewrite match successes : 0
% 0.11/5.59 % Condensation attempts : 0
% 0.11/5.59 % Condensation successes : 0
% 0.11/5.59 % Termbank termtop insertions : 3906
% 0.11/5.59 % Search garbage collected termcells : 151
% 0.11/5.59
% 0.11/5.59 % -------------------------------------------------
% 0.11/5.59 % User time : 0.012 s
% 0.11/5.59 % System time : 0.002 s
% 0.11/5.59 % Total time : 0.014 s
% 0.11/5.59 % Maximum resident set size: 3684 pages
% 0.11/5.59
% 0.11/5.59 % -------------------------------------------------
% 0.11/5.59 % User time : 0.049 s
% 0.11/5.59 % System time : 0.015 s
% 0.11/5.59 % Total time : 0.064 s
% 0.11/5.59 % Maximum resident set size: 4864 pages
% 0.11/5.59 % E exiting
%------------------------------------------------------------------------------