%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN604-1 : 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 03:25:42 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.57s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 44 ( 19 unt; 2 nHn; 27 RR)
% Number of literals : 84 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_21,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(p16_25,negated_conjecture,
( ~ p16(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
cnf(p3_8,negated_conjecture,
p3(f12(f10(X1)),f10(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_7,negated_conjecture,
p3(f4(f8(X1)),f12(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p16_23,negated_conjecture,
( ~ p16(X3,X2)
| ~ p16(X1,X3)
| p16(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
cnf(p16_30,negated_conjecture,
( ~ p16(c19,f4(X1))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_30) ).
cnf(p16_9,negated_conjecture,
p16(f10(f11(c21)),f12(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_9) ).
cnf(p16_29,negated_conjecture,
( ~ p16(f4(X1),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_29) ).
cnf(not_p16_28,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_28) ).
cnf(p16_10,negated_conjecture,
( p16(X2,f12(X1))
| p16(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_21]) ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_11 ).
cnf(c_0_13,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_14,negated_conjecture,
( ~ p16(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_25]) ).
cnf(c_0_15,negated_conjecture,
p3(f12(f10(X1)),f10(X1)),
p3_8 ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p3(f4(f8(X1)),f12(X1)),
p3_7 ).
cnf(c_0_18,negated_conjecture,
( ~ p16(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
( ~ p3(f12(f10(X2)),X1)
| p3(X1,f10(X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p3(f12(X1),f4(f8(X1))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ p16(X3,X2)
| ~ p16(X1,X3)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_23]) ).
cnf(c_0_22,negated_conjecture,
( ~ p16(c19,f4(X1))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1))) ),
inference(fof_simplification,[status(thm)],[p16_30]) ).
cnf(c_0_23,negated_conjecture,
( ~ p3(X3,X1)
| ~ p16(X3,f12(f10(X2)))
| p16(X1,f10(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
p16(f10(f11(c21)),f12(X1)),
p16_9 ).
cnf(c_0_25,negated_conjecture,
p3(f4(f8(f10(X1))),f10(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ p16(X3,X2)
| ~ p16(X1,X3)
| p16(X1,X2) ),
c_0_21 ).
cnf(c_0_27,negated_conjecture,
( ~ p16(c19,f4(X1))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1))) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
( ~ p16(f4(X1),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
inference(fof_simplification,[status(thm)],[p16_29]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(f10(f11(c21)),X1)
| p16(X1,f10(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
p3(f10(X1),f4(f8(f10(X1)))),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
inference(fof_simplification,[status(thm)],[not_p16_28]) ).
cnf(c_0_32,negated_conjecture,
( ~ p16(c19,f4(X2))
| ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| p16(X1,f4(f6(f7(c20,c18),X2))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( ~ p16(f4(X1),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
c_0_28 ).
cnf(c_0_34,negated_conjecture,
( ~ p16(X1,f10(f11(c21)))
| p16(X1,f12(X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
p16(f4(f8(f10(f11(c21)))),f10(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
c_0_31 ).
cnf(c_0_37,negated_conjecture,
( ~ p16(c19,f4(X1))
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
p16(f4(f8(f10(f11(c21)))),f12(X1)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
~ p16(f4(f13(c23)),f12(c19)),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( p16(X2,f12(X1))
| p16(X1,X2) ),
p16_10 ).
cnf(c_0_41,negated_conjecture,
( ~ p16(c19,f4(X1))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_42,negated_conjecture,
p16(c19,f4(f13(c23))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n014.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 11:09:49 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 Running first-order theorem proving
% 0.25/0.50 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
% 0.25/0.57 % Version: 3.5.1
% 0.25/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.57 % Starting sh5l with 300s (1) cores
% 0.25/0.57 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3918368 completed with status 0
% 0.25/0.57 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.57 % No SInE strategy applied
% 0.25/0.57 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.25/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.57 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.57 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.57 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3918374 completed with status 0
% 0.25/0.57 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.25/0.57 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.57 % No SInE strategy applied
% 0.25/0.57 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.25/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.57 % Preprocessing time : 0.001 s
% 0.25/0.57 % Presaturation interreduction done
% 0.25/0.57
% 0.25/0.57 % Proof found!
% 0.25/0.57 % SZS status Unsatisfiable
% 0.25/0.57 % SZS output start CNFRefutation
% See solution above
% 0.25/0.57 % Parsed axioms : 30
% 0.25/0.57 % Removed by relevancy pruning/SinE : 0
% 0.25/0.57 % Initial clauses : 30
% 0.25/0.57 % Removed in clause preprocessing : 0
% 0.25/0.57 % Initial clauses in saturation : 30
% 0.25/0.57 % Processed clauses : 281
% 0.25/0.57 % ...of these trivial : 0
% 0.25/0.57 % ...subsumed : 61
% 0.25/0.57 % ...remaining for further processing : 220
% 0.25/0.57 % Other redundant clauses eliminated : 0
% 0.25/0.57 % Clauses deleted for lack of memory : 0
% 0.25/0.57 % Backward-subsumed : 0
% 0.25/0.57 % Backward-rewritten : 3
% 0.25/0.57 % Generated clauses : 1122
% 0.25/0.57 % ...of the previous two non-redundant : 905
% 0.25/0.57 % ...aggressively subsumed : 0
% 0.25/0.57 % Contextual simplify-reflections : 0
% 0.25/0.57 % Paramodulations : 1122
% 0.25/0.57 % Factorizations : 0
% 0.25/0.57 % NegExts : 0
% 0.25/0.57 % Equation resolutions : 0
% 0.25/0.57 % Disequality decompositions : 0
% 0.25/0.57 % Total rewrite steps : 223
% 0.25/0.57 % ...of those cached : 199
% 0.25/0.57 % Propositional unsat checks : 0
% 0.25/0.57 % Propositional check models : 0
% 0.25/0.57 % Propositional check unsatisfiable : 0
% 0.25/0.57 % Propositional clauses : 0
% 0.25/0.57 % Propositional clauses after purity: 0
% 0.25/0.57 % Propositional unsat core size : 0
% 0.25/0.57 % Propositional preprocessing time : 0.000
% 0.25/0.57 % Propositional encoding time : 0.000
% 0.25/0.57 % Propositional solver time : 0.000
% 0.25/0.57 % Success case prop preproc time : 0.000
% 0.25/0.57 % Success case prop encoding time : 0.000
% 0.25/0.57 % Success case prop solver time : 0.000
% 0.25/0.57 % Current number of processed clauses : 187
% 0.25/0.57 % Positive orientable unit clauses : 21
% 0.25/0.57 % Positive unorientable unit clauses: 0
% 0.25/0.57 % Negative unit clauses : 3
% 0.25/0.57 % Non-unit-clauses : 163
% 0.25/0.57 % Current number of unprocessed clauses: 669
% 0.25/0.57 % ...number of literals in the above : 2398
% 0.25/0.57 % Current number of archived formulas : 0
% 0.25/0.57 % Current number of archived clauses : 33
% 0.25/0.57 % Clause-clause subsumption calls (NU) : 6631
% 0.25/0.57 % Rec. Clause-clause subsumption calls : 5493
% 0.25/0.57 % Non-unit clause-clause subsumptions : 61
% 0.25/0.57 % Unit Clause-clause subsumption calls : 168
% 0.25/0.57 % Rewrite failures with RHS unbound : 0
% 0.25/0.57 % BW rewrite match attempts : 2
% 0.25/0.57 % BW rewrite match successes : 2
% 0.25/0.57 % Condensation attempts : 0
% 0.25/0.57 % Condensation successes : 0
% 0.25/0.57 % Termbank termtop insertions : 23741
% 0.25/0.57 % Search garbage collected termcells : 79
% 0.25/0.57
% 0.25/0.57 % -------------------------------------------------
% 0.25/0.57 % User time : 0.027 s
% 0.25/0.57 % System time : 0.008 s
% 0.25/0.57 % Total time : 0.035 s
% 0.25/0.57 % Maximum resident set size: 3664 pages
% 0.25/0.57
% 0.25/0.57 % -------------------------------------------------
% 0.25/0.57 % User time : 0.121 s
% 0.25/0.57 % System time : 0.032 s
% 0.25/0.57 % Total time : 0.152 s
% 0.25/0.57 % Maximum resident set size: 4608 pages
% 0.25/0.57 % E exiting
%------------------------------------------------------------------------------