%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN672-1 : 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 : 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 03:35:29 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 18 unt; 3 nHn; 25 RR)
% Number of literals : 61 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_53,negated_conjecture,
( ~ p31(f20(c36,X2),f17(c37,X1))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| p3(X1,f14(c38,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_53) ).
cnf(not_p3_18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_18) ).
cnf(p30_54,negated_conjecture,
( ~ p30(f10(f12(c32,c33),X1),X2)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_54) ).
cnf(p31_19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_19) ).
cnf(p9_42,negated_conjecture,
( ~ p8(X1,X3)
| ~ p3(X2,X4)
| p9(f10(X1,X2),f10(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_42) ).
cnf(p30_39,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X1)
| ~ p30(X3,X4)
| p30(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_39) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
cnf(p3_37,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
cnf(not_p30_40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p30_40) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(c_0_10,negated_conjecture,
( ~ p31(f20(c36,X2),f17(c37,X1))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| p3(X1,f14(c38,X2)) ),
inference(fof_simplification,[status(thm)],[p3_53]) ).
cnf(c_0_11,negated_conjecture,
~ p3(c40,f14(c38,c39)),
inference(fof_simplification,[status(thm)],[not_p3_18]) ).
cnf(c_0_12,negated_conjecture,
( ~ p30(f10(f12(c32,c33),X1),X2)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2)) ),
inference(fof_simplification,[status(thm)],[p30_54]) ).
cnf(c_0_13,negated_conjecture,
( ~ p31(f20(c36,X2),f17(c37,X1))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| p3(X1,f14(c38,X2)) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
p31_19 ).
cnf(c_0_15,negated_conjecture,
~ p3(c40,f14(c38,c39)),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
( ~ p8(X1,X3)
| ~ p3(X2,X4)
| p9(f10(X1,X2),f10(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p9_42]) ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X1)
| ~ p30(X3,X4)
| p30(X1,X2) ),
inference(fof_simplification,[status(thm)],[p30_39]) ).
cnf(c_0_18,negated_conjecture,
( ~ p30(f10(f12(c32,c33),X1),X2)
| p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2)) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ p8(X1,X3)
| ~ p3(X2,X4)
| p9(f10(X1,X2),f10(X3,X4)) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_22,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X1)
| ~ p30(X3,X4)
| p30(X1,X2) ),
c_0_17 ).
cnf(c_0_23,negated_conjecture,
p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ p3(X2,X3)
| p9(f10(X1,X2),f10(X1,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
p3_37 ).
cnf(c_0_26,negated_conjecture,
( ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X1)
| ~ p3(f4(f7(c34,c35),c40),X2)
| p30(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p9(f10(X1,f4(f7(c34,X2),f14(c38,X3))),f10(X1,f14(X2,X3))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(fof_simplification,[status(thm)],[not_p30_40]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(f4(f7(c34,c35),c40),X1)
| p30(f10(f12(c32,c33),f14(c35,c39)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_31,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
c_0_28 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:11:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3324094 completed with status 0
% 0.12/0.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.12/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.45 % new_bool_3 with pid 3324102 completed with status 0
% 0.12/0.45 % Result found by new_bool_3
% 0.12/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.45 % Preprocessing time : 0.002 s
% 0.12/0.45 % Presaturation interreduction done
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 54
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 54
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 54
% 0.12/0.45 % Processed clauses : 170
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 0
% 0.12/0.45 % ...remaining for further processing : 170
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 0
% 0.12/0.45 % Backward-rewritten : 0
% 0.12/0.45 % Generated clauses : 124
% 0.12/0.45 % ...of the previous two non-redundant : 76
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 0
% 0.12/0.45 % Paramodulations : 124
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 47
% 0.12/0.45 % ...of those cached : 3
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 116
% 0.12/0.45 % Positive orientable unit clauses : 31
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 2
% 0.12/0.45 % Non-unit-clauses : 83
% 0.12/0.45 % Current number of unprocessed clauses: 14
% 0.12/0.45 % ...number of literals in the above : 15
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 54
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 1625
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 1584
% 0.12/0.45 % Non-unit clause-clause subsumptions : 0
% 0.12/0.45 % Unit Clause-clause subsumption calls : 0
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 17
% 0.12/0.45 % BW rewrite match successes : 0
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 5579
% 0.12/0.45 % Search garbage collected termcells : 182
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.015 s
% 0.12/0.45 % System time : 0.002 s
% 0.12/0.45 % Total time : 0.017 s
% 0.12/0.45 % Maximum resident set size: 3692 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.064 s
% 0.12/0.45 % System time : 0.018 s
% 0.12/0.45 % Total time : 0.081 s
% 0.12/0.45 % Maximum resident set size: 4864 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------