%------------------------------------------------------------------------------
% File : E-SAT---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 : n002.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 03:35:20 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.62s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 18 unt; 2 nHn; 28 RR)
% Number of literals : 81 ( 0 equ; 41 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 : 68 ( 5 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(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_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(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,
p3(f12(f10(X1)),f10(X1)),
p3_8 ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p3(f4(f8(X1)),f12(X1)),
p3_7 ).
cnf(c_0_17,negated_conjecture,
( ~ p16(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_25]) ).
cnf(c_0_18,negated_conjecture,
( ~ p3(f12(f10(X2)),X1)
| p3(X1,f10(X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p3(f12(X1),f4(f8(X1))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ p16(X3,X2)
| ~ p16(X1,X3)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_23]) ).
cnf(c_0_21,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_22,negated_conjecture,
( ~ p16(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
c_0_17 ).
cnf(c_0_23,negated_conjecture,
p16(f10(f11(c21)),f12(X1)),
p16_9 ).
cnf(c_0_24,negated_conjecture,
p3(f4(f8(f10(X1))),f10(X1)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ p16(X3,X2)
| ~ p16(X1,X3)
| p16(X1,X2) ),
c_0_20 ).
cnf(c_0_26,negated_conjecture,
( ~ p16(c19,f4(X1))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1))) ),
c_0_21 ).
cnf(c_0_27,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_28,negated_conjecture,
( ~ p3(f12(X3),X2)
| ~ p3(f10(f11(c21)),X1)
| p16(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p3(f10(X1),f4(f8(f10(X1)))),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_30,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_31,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_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ p16(f4(X1),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1))) ),
c_0_27 ).
cnf(c_0_33,negated_conjecture,
( ~ p3(f12(X2),X1)
| p16(f4(f8(f10(f11(c21)))),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
c_0_30 ).
cnf(c_0_35,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_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
p16(f4(f8(f10(f11(c21)))),f12(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_13]) ).
cnf(c_0_37,negated_conjecture,
~ p16(f4(f13(c23)),f12(c19)),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( p16(X2,f12(X1))
| p16(X1,X2) ),
p16_10 ).
cnf(c_0_39,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_35,c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
p16(c19,f4(f13(c23))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.54 % Computer : n002.cluster.edu
% 0.08/0.54 % Model : x86_64 x86_64
% 0.08/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.54 % Memory : 8046.5625MB
% 0.08/0.54 % OS : Linux 6.8.0-71-generic
% 0.08/0.54 % CPULimit : 300
% 0.08/0.54 % WCLimit : 300
% 0.08/0.54 % DateTime : Mon Sep 21 11:12:33 UTC 2026
% 0.08/0.54 % CPUTime :
% 0.08/0.54 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.59 Running first-order theorem proving
% 0.12/0.59 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
% 0.12/0.62 % Version: 3.5.1
% 0.12/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.62 % Starting sh5l with 300s (1) cores
% 0.12/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3148644 completed with status 0
% 0.12/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.62 % No SInE strategy applied
% 0.12/0.62 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.12/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.62 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3148650 completed with status 0
% 0.12/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.62 % No SInE strategy applied
% 0.12/0.62 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.12/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.62 % Preprocessing time : 0.001 s
% 0.12/0.62 % Presaturation interreduction done
% 0.12/0.62
% 0.12/0.62 % Proof found!
% 0.12/0.62 % SZS status Unsatisfiable
% 0.12/0.62 % SZS output start CNFRefutation
% See solution above
% 0.12/0.62 % Parsed axioms : 30
% 0.12/0.62 % Removed by relevancy pruning/SinE : 0
% 0.12/0.62 % Initial clauses : 30
% 0.12/0.62 % Removed in clause preprocessing : 0
% 0.12/0.62 % Initial clauses in saturation : 30
% 0.12/0.62 % Processed clauses : 237
% 0.12/0.62 % ...of these trivial : 2
% 0.12/0.62 % ...subsumed : 34
% 0.12/0.62 % ...remaining for further processing : 201
% 0.12/0.62 % Other redundant clauses eliminated : 0
% 0.12/0.62 % Clauses deleted for lack of memory : 0
% 0.12/0.62 % Backward-subsumed : 7
% 0.12/0.62 % Backward-rewritten : 2
% 0.12/0.62 % Generated clauses : 612
% 0.12/0.62 % ...of the previous two non-redundant : 565
% 0.12/0.62 % ...aggressively subsumed : 0
% 0.12/0.62 % Contextual simplify-reflections : 0
% 0.12/0.62 % Paramodulations : 612
% 0.12/0.62 % Factorizations : 0
% 0.12/0.62 % NegExts : 0
% 0.12/0.62 % Equation resolutions : 0
% 0.12/0.62 % Disequality decompositions : 0
% 0.12/0.62 % Total rewrite steps : 54
% 0.12/0.62 % ...of those cached : 28
% 0.12/0.62 % Propositional unsat checks : 0
% 0.12/0.62 % Propositional check models : 0
% 0.12/0.62 % Propositional check unsatisfiable : 0
% 0.12/0.62 % Propositional clauses : 0
% 0.12/0.62 % Propositional clauses after purity: 0
% 0.12/0.62 % Propositional unsat core size : 0
% 0.12/0.62 % Propositional preprocessing time : 0.000
% 0.12/0.62 % Propositional encoding time : 0.000
% 0.12/0.62 % Propositional solver time : 0.000
% 0.12/0.62 % Success case prop preproc time : 0.000
% 0.12/0.62 % Success case prop encoding time : 0.000
% 0.12/0.62 % Success case prop solver time : 0.000
% 0.12/0.62 % Current number of processed clauses : 162
% 0.12/0.62 % Positive orientable unit clauses : 22
% 0.12/0.62 % Positive unorientable unit clauses: 0
% 0.12/0.62 % Negative unit clauses : 5
% 0.12/0.62 % Non-unit-clauses : 135
% 0.12/0.62 % Current number of unprocessed clauses: 380
% 0.12/0.62 % ...number of literals in the above : 1059
% 0.12/0.62 % Current number of archived formulas : 0
% 0.12/0.62 % Current number of archived clauses : 39
% 0.12/0.62 % Clause-clause subsumption calls (NU) : 2596
% 0.12/0.62 % Rec. Clause-clause subsumption calls : 2382
% 0.12/0.62 % Non-unit clause-clause subsumptions : 41
% 0.12/0.62 % Unit Clause-clause subsumption calls : 25
% 0.12/0.62 % Rewrite failures with RHS unbound : 0
% 0.12/0.62 % BW rewrite match attempts : 2
% 0.12/0.62 % BW rewrite match successes : 2
% 0.12/0.62 % Condensation attempts : 0
% 0.12/0.62 % Condensation successes : 0
% 0.12/0.62 % Termbank termtop insertions : 9665
% 0.12/0.62 % Search garbage collected termcells : 79
% 0.12/0.62
% 0.12/0.62 % -------------------------------------------------
% 0.12/0.62 % User time : 0.011 s
% 0.12/0.62 % System time : 0.005 s
% 0.12/0.62 % Total time : 0.016 s
% 0.12/0.62 % Maximum resident set size: 3664 pages
% 0.12/0.62
% 0.12/0.62 % -------------------------------------------------
% 0.12/0.62 % User time : 0.059 s
% 0.12/0.62 % System time : 0.015 s
% 0.12/0.62 % Total time : 0.075 s
% 0.12/0.62 % Maximum resident set size: 4608 pages
% 0.12/0.62 % E exiting
%------------------------------------------------------------------------------