%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN627-1 : 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 : n014.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 03:35:23 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 41 ( 21 unt; 0 nHn; 35 RR)
% Number of literals : 70 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_18,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).
cnf(p3_28,negated_conjecture,
( ~ p16(c17,c20,X3,X1,c22)
| ~ p16(c17,c20,X3,X2,X4)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_28) ).
cnf(p16_23,negated_conjecture,
( ~ p15(X1,c19)
| p16(c17,c20,f9(c19,X1),f14(X1),c25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
cnf(p3_20,negated_conjecture,
( ~ p15(X1,c19)
| p3(c24,f4(f7(c17,X1),f14(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
cnf(p3_27,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
cnf(p16_10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
cnf(p15_7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_7) ).
cnf(p3_9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(not_p3_8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_8) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_18]) ).
cnf(c_0_12,negated_conjecture,
( ~ p16(c17,c20,X3,X1,c22)
| ~ p16(c17,c20,X3,X2,X4)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_28]) ).
cnf(c_0_13,negated_conjecture,
( ~ p15(X1,c19)
| p16(c17,c20,f9(c19,X1),f14(X1),c25) ),
inference(fof_simplification,[status(thm)],[p16_23]) ).
cnf(c_0_14,negated_conjecture,
( ~ p15(X1,c19)
| p3(c24,f4(f7(c17,X1),f14(X1))) ),
inference(fof_simplification,[status(thm)],[p3_20]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p3_27]) ).
cnf(c_0_18,negated_conjecture,
( ~ p16(c17,c20,X3,X1,c22)
| ~ p16(c17,c20,X3,X2,X4)
| p3(X1,X2) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
p16_10 ).
cnf(c_0_20,negated_conjecture,
( ~ p15(X1,c19)
| p16(c17,c20,f9(c19,X1),f14(X1),c25) ),
c_0_13 ).
cnf(c_0_21,negated_conjecture,
p15(c18,c19),
p15_7 ).
cnf(c_0_22,negated_conjecture,
( ~ p15(X1,c19)
| p3(c24,f4(f7(c17,X1),f14(X1))) ),
c_0_14 ).
cnf(c_0_23,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
p3_9 ).
cnf(c_0_25,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
c_0_17 ).
cnf(c_0_26,negated_conjecture,
p2(X1,X1),
p2_6 ).
cnf(c_0_27,negated_conjecture,
( ~ p16(c17,c20,f9(c19,c18),X1,X2)
| p3(c21,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
p16(c17,c20,f9(c19,c18),f14(c18),c25),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
p3(c24,f4(f7(c17,c18),f14(c18))),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
p3(f4(f7(c17,c18),c21),c23),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( ~ p3(X2,X3)
| p3(f4(X1,X2),f4(X1,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
p3(c21,f14(c18)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
p3(f4(f7(c17,c18),f14(c18)),c24),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( ~ p3(f4(f7(c17,c18),c21),X1)
| p3(X1,c23) ),
inference(spm,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
p3(f4(X1,c21),f4(X1,f14(c18))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
~ p3(c23,c24),
inference(fof_simplification,[status(thm)],[not_p3_8]) ).
cnf(c_0_37,negated_conjecture,
( ~ p3(f4(f7(c17,c18),f14(c18)),X1)
| p3(X1,c24) ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
p3(f4(f7(c17,c18),f14(c18)),c23),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
~ p3(c23,c24),
c_0_36 ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN627-1 : 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 : n014.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
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:10:34 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.44 % Version: 3.5.1
% 0.13/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.44 % Starting sh5l with 300s (1) cores
% 0.13/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3920436 completed with status 0
% 0.13/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.44 % No SInE strategy applied
% 0.13/0.44 % Search class: FGUNM-FFMS32-MFFFFFNN
% 0.13/0.44 % partial match(1): FGUNM-FFMS22-MFFFFFNN
% 0.13/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3920442 completed with status 0
% 0.13/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.44 % No SInE strategy applied
% 0.13/0.44 % Search class: FGUNM-FFMS32-MFFFFFNN
% 0.13/0.44 % partial match(1): FGUNM-FFMS22-MFFFFFNN
% 0.13/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.44 % Preprocessing time : 0.002 s
% 0.13/0.44 % Presaturation interreduction done
% 0.13/0.44
% 0.13/0.44 % Proof found!
% 0.13/0.44 % SZS status Unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation
% See solution above
% 0.13/0.44 % Parsed axioms : 36
% 0.13/0.44 % Removed by relevancy pruning/SinE : 0
% 0.13/0.44 % Initial clauses : 36
% 0.13/0.44 % Removed in clause preprocessing : 0
% 0.13/0.44 % Initial clauses in saturation : 36
% 0.13/0.44 % Processed clauses : 134
% 0.13/0.44 % ...of these trivial : 5
% 0.13/0.44 % ...subsumed : 1
% 0.13/0.44 % ...remaining for further processing : 128
% 0.13/0.44 % Other redundant clauses eliminated : 0
% 0.13/0.44 % Clauses deleted for lack of memory : 0
% 0.13/0.44 % Backward-subsumed : 0
% 0.13/0.44 % Backward-rewritten : 0
% 0.13/0.44 % Generated clauses : 172
% 0.13/0.44 % ...of the previous two non-redundant : 105
% 0.13/0.44 % ...aggressively subsumed : 0
% 0.13/0.44 % Contextual simplify-reflections : 0
% 0.13/0.44 % Paramodulations : 172
% 0.13/0.44 % Factorizations : 0
% 0.13/0.44 % NegExts : 0
% 0.13/0.44 % Equation resolutions : 0
% 0.13/0.44 % Disequality decompositions : 0
% 0.13/0.44 % Total rewrite steps : 70
% 0.13/0.44 % ...of those cached : 23
% 0.13/0.44 % Propositional unsat checks : 0
% 0.13/0.44 % Propositional check models : 0
% 0.13/0.44 % Propositional check unsatisfiable : 0
% 0.13/0.44 % Propositional clauses : 0
% 0.13/0.44 % Propositional clauses after purity: 0
% 0.13/0.44 % Propositional unsat core size : 0
% 0.13/0.44 % Propositional preprocessing time : 0.000
% 0.13/0.44 % Propositional encoding time : 0.000
% 0.13/0.44 % Propositional solver time : 0.000
% 0.13/0.44 % Success case prop preproc time : 0.000
% 0.13/0.44 % Success case prop encoding time : 0.000
% 0.13/0.44 % Success case prop solver time : 0.000
% 0.13/0.44 % Current number of processed clauses : 92
% 0.13/0.44 % Positive orientable unit clauses : 36
% 0.13/0.44 % Positive unorientable unit clauses: 0
% 0.13/0.44 % Negative unit clauses : 1
% 0.13/0.44 % Non-unit-clauses : 55
% 0.13/0.44 % Current number of unprocessed clauses: 40
% 0.13/0.44 % ...number of literals in the above : 86
% 0.13/0.44 % Current number of archived formulas : 0
% 0.13/0.44 % Current number of archived clauses : 36
% 0.13/0.44 % Clause-clause subsumption calls (NU) : 314
% 0.13/0.44 % Rec. Clause-clause subsumption calls : 238
% 0.13/0.44 % Non-unit clause-clause subsumptions : 1
% 0.13/0.44 % Unit Clause-clause subsumption calls : 52
% 0.13/0.44 % Rewrite failures with RHS unbound : 0
% 0.13/0.44 % BW rewrite match attempts : 44
% 0.13/0.44 % BW rewrite match successes : 0
% 0.13/0.44 % Condensation attempts : 0
% 0.13/0.44 % Condensation successes : 0
% 0.13/0.44 % Termbank termtop insertions : 3864
% 0.13/0.44 % Search garbage collected termcells : 141
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.009 s
% 0.13/0.44 % System time : 0.004 s
% 0.13/0.44 % Total time : 0.013 s
% 0.13/0.44 % Maximum resident set size: 3676 pages
% 0.13/0.44
% 0.13/0.44 % -------------------------------------------------
% 0.13/0.44 % User time : 0.041 s
% 0.13/0.44 % System time : 0.018 s
% 0.13/0.44 % Total time : 0.059 s
% 0.13/0.44 % Maximum resident set size: 4864 pages
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------