%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN634-1 : 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 : 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 03:25:46 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 13 unt; 6 nHn; 20 RR)
% Number of literals : 50 ( 0 equ; 20 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 : 43 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_26,negated_conjecture,
( ~ p22(X1,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_26) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_39,negated_conjecture,
( ~ p21(f12(f13(X2,X3)),f12(f13(X2,f18(X1,X2,X3))))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| p3(f4(X1),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_39) ).
cnf(p3_36,negated_conjecture,
( p10(f11(X1,c27,X2),f11(X1,c27,X3))
| p22(f18(X1,X2,X3),f16(X1))
| p3(f4(X1),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
cnf(not_p10_25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
cnf(p3_8,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p3_7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
cnf(c_0_8,negated_conjecture,
( ~ p22(X1,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X1))) ),
inference(fof_simplification,[status(thm)],[p21_26]) ).
cnf(c_0_9,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_17]) ).
cnf(c_0_10,negated_conjecture,
( ~ p21(f12(f13(X2,X3)),f12(f13(X2,f18(X1,X2,X3))))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| p3(f4(X1),f8(c24)) ),
inference(fof_simplification,[status(thm)],[p3_39]) ).
cnf(c_0_11,negated_conjecture,
( ~ p22(X1,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X1))) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
( p10(f11(X1,c27,X2),f11(X1,c27,X3))
| p22(f18(X1,X2,X3),f16(X1))
| p3(f4(X1),f8(c24)) ),
p3_36 ).
cnf(c_0_13,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(fof_simplification,[status(thm)],[not_p10_25]) ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
p3_8 ).
cnf(c_0_16,negated_conjecture,
( ~ p21(f12(f13(X2,X3)),f12(f13(X2,f18(X1,X2,X3))))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| p3(f4(X1),f8(c24)) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
( p10(f11(f6(c25,f7(c23,c26)),c27,X1),f11(f6(c25,f7(c23,c26)),c27,X2))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),X1,X2)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_20,negated_conjecture,
( ~ p3(f4(f6(X3,f7(X2,X4))),X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p3(c23,f8(c24)),
inference(fof_simplification,[status(thm)],[not_p3_7]) ).
cnf(c_0_23,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p3(f8(c24),c23),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ p3(c23,f8(c24)),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN634-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:10:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 748734 completed with status 0
% 0.15/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGUNM-FFMF32-MFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 748739 completed with status 0
% 0.15/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGUNM-FFMF32-MFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.44 % Preprocessing time : 0.002 s
% 0.15/0.44 % Presaturation interreduction done
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 40
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 40
% 0.15/0.44 % Removed in clause preprocessing : 0
% 0.15/0.44 % Initial clauses in saturation : 40
% 0.15/0.44 % Processed clauses : 151
% 0.15/0.44 % ...of these trivial : 4
% 0.15/0.44 % ...subsumed : 0
% 0.15/0.44 % ...remaining for further processing : 147
% 0.15/0.44 % Other redundant clauses eliminated : 0
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 1
% 0.15/0.44 % Backward-rewritten : 5
% 0.15/0.44 % Generated clauses : 357
% 0.15/0.44 % ...of the previous two non-redundant : 304
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 357
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 0
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 56
% 0.15/0.44 % ...of those cached : 16
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 101
% 0.15/0.44 % Positive orientable unit clauses : 25
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 2
% 0.15/0.44 % Non-unit-clauses : 74
% 0.15/0.44 % Current number of unprocessed clauses: 224
% 0.15/0.44 % ...number of literals in the above : 326
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 46
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 777
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 604
% 0.15/0.44 % Non-unit clause-clause subsumptions : 0
% 0.15/0.44 % Unit Clause-clause subsumption calls : 97
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 21
% 0.15/0.44 % BW rewrite match successes : 2
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 8545
% 0.15/0.44 % Search garbage collected termcells : 117
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.015 s
% 0.15/0.44 % System time : 0.002 s
% 0.15/0.44 % Total time : 0.017 s
% 0.15/0.44 % Maximum resident set size: 3636 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.069 s
% 0.15/0.44 % System time : 0.017 s
% 0.15/0.44 % Total time : 0.087 s
% 0.15/0.44 % Maximum resident set size: 4608 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------