%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN673-1 : 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 : n004.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 03:25:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 48 ( 14 unt; 3 nHn; 42 RR)
% Number of literals : 102 ( 0 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_22,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).
cnf(p29_38,negated_conjecture,
( ~ p10(X4,X2)
| ~ p4(X3,X1)
| ~ p29(X3,X4)
| p29(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_38) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p10_41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_41) ).
cnf(p29_18,negated_conjecture,
( ~ p27(f12(c32,X2),X1)
| p29(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_18) ).
cnf(p27_55,negated_conjecture,
( ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_55) ).
cnf(not_p29_17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p29_17) ).
cnf(p27_19,negated_conjecture,
( ~ p29(X2,X1)
| p27(f12(c32,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_19) ).
cnf(p29_53,negated_conjecture,
( ~ p28(f21(c30,f26(c43,X1)),c31)
| ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_53) ).
cnf(p28_37,negated_conjecture,
( ~ p29(f24(c42,X1),c39)
| p28(f21(c30,X1),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_37) ).
cnf(p29_52,negated_conjecture,
( ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1)
| p29(f24(c42,f26(c43,X1)),c39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).
cnf(p28_20,negated_conjecture,
( ~ p16(X1,c40)
| p28(f21(c30,X1),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_20) ).
cnf(p16_12,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_12) ).
cnf(c_0_14,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_22]) ).
cnf(c_0_15,negated_conjecture,
( ~ p10(X4,X2)
| ~ p4(X3,X1)
| ~ p29(X3,X4)
| p29(X1,X2) ),
inference(fof_simplification,[status(thm)],[p29_38]) ).
cnf(c_0_16,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
c_0_14 ).
cnf(c_0_17,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_18,negated_conjecture,
( ~ p10(X4,X2)
| ~ p4(X3,X1)
| ~ p29(X3,X4)
| p29(X1,X2) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_20,negated_conjecture,
( ~ p10(X2,X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
p10_41 ).
cnf(c_0_22,negated_conjecture,
( ~ p27(f12(c32,X2),X1)
| p29(X1,X2) ),
inference(fof_simplification,[status(thm)],[p29_18]) ).
cnf(c_0_23,negated_conjecture,
( ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30))) ),
inference(fof_simplification,[status(thm)],[p27_55]) ).
cnf(c_0_24,negated_conjecture,
( ~ p10(X3,X2)
| ~ p29(X1,X3)
| p29(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p27(f12(c32,X2),X1)
| p29(X1,X2) ),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
( ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30))) ),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
inference(fof_simplification,[status(thm)],[not_p29_17]) ).
cnf(c_0_29,negated_conjecture,
( ~ p29(X1,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)))
| p29(X1,c38) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| p29(f5(c33,f8(c34,c30)),f14(f19(c35,X1),f17(c36,X2))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
c_0_28 ).
cnf(c_0_32,negated_conjecture,
( ~ p29(X2,X1)
| p27(f12(c32,X1),X2) ),
inference(fof_simplification,[status(thm)],[p27_19]) ).
cnf(c_0_33,negated_conjecture,
( ~ p28(f21(c30,f26(c43,X1)),c31)
| ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1) ),
inference(fof_simplification,[status(thm)],[p29_53]) ).
cnf(c_0_34,negated_conjecture,
( ~ p29(f24(c42,X1),c39)
| p28(f21(c30,X1),c31) ),
inference(fof_simplification,[status(thm)],[p28_37]) ).
cnf(c_0_35,negated_conjecture,
( ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1)
| p29(f24(c42,f26(c43,X1)),c39) ),
inference(fof_simplification,[status(thm)],[p29_52]) ).
cnf(c_0_36,negated_conjecture,
( ~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,c40),c31) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( ~ p29(X2,X1)
| p27(f12(c32,X1),X2) ),
c_0_32 ).
cnf(c_0_38,negated_conjecture,
( ~ p28(f21(c30,f26(c43,X1)),c31)
| ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1) ),
c_0_33 ).
cnf(c_0_39,negated_conjecture,
( ~ p29(f24(c42,X1),c39)
| p28(f21(c30,X1),c31) ),
c_0_34 ).
cnf(c_0_40,negated_conjecture,
( ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1)
| p29(f24(c42,f26(c43,X1)),c39) ),
c_0_35 ).
cnf(c_0_41,negated_conjecture,
( ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ p28(f21(c30,c40),c31) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( ~ p10(X1,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( ~ p16(X1,c40)
| p28(f21(c30,X1),c31) ),
inference(fof_simplification,[status(thm)],[p28_20]) ).
cnf(c_0_44,negated_conjecture,
~ p28(f21(c30,c40),c31),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_17])]) ).
cnf(c_0_45,negated_conjecture,
( ~ p16(X1,c40)
| p28(f21(c30,X1),c31) ),
c_0_43 ).
cnf(c_0_46,negated_conjecture,
p16(X1,X1),
p16_12 ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN673-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 11:11:52 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.45 % Version: 3.5.1
% 0.13/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.45 % Starting sh5l with 300s (1) cores
% 0.13/0.45 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2995109 completed with status 0
% 0.13/0.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.45 % No SInE strategy applied
% 0.13/0.45 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.13/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.45 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2995115 completed with status 0
% 0.13/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.13/0.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.45 % No SInE strategy applied
% 0.13/0.45 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.13/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.45 % Preprocessing time : 0.001 s
% 0.13/0.45 % Presaturation interreduction done
% 0.13/0.45
% 0.13/0.45 % Proof found!
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.13/0.45 % Parsed axioms : 55
% 0.13/0.45 % Removed by relevancy pruning/SinE : 0
% 0.13/0.45 % Initial clauses : 55
% 0.13/0.45 % Removed in clause preprocessing : 0
% 0.13/0.45 % Initial clauses in saturation : 55
% 0.13/0.45 % Processed clauses : 257
% 0.13/0.45 % ...of these trivial : 0
% 0.13/0.45 % ...subsumed : 50
% 0.13/0.45 % ...remaining for further processing : 207
% 0.13/0.45 % Other redundant clauses eliminated : 0
% 0.13/0.45 % Clauses deleted for lack of memory : 0
% 0.13/0.45 % Backward-subsumed : 5
% 0.13/0.45 % Backward-rewritten : 0
% 0.13/0.45 % Generated clauses : 362
% 0.13/0.45 % ...of the previous two non-redundant : 294
% 0.13/0.45 % ...aggressively subsumed : 0
% 0.13/0.45 % Contextual simplify-reflections : 1
% 0.13/0.45 % Paramodulations : 362
% 0.13/0.45 % Factorizations : 0
% 0.13/0.45 % NegExts : 0
% 0.13/0.45 % Equation resolutions : 0
% 0.13/0.45 % Disequality decompositions : 0
% 0.13/0.45 % Total rewrite steps : 115
% 0.13/0.45 % ...of those cached : 87
% 0.13/0.45 % Propositional unsat checks : 0
% 0.13/0.45 % Propositional check models : 0
% 0.13/0.45 % Propositional check unsatisfiable : 0
% 0.13/0.45 % Propositional clauses : 0
% 0.13/0.45 % Propositional clauses after purity: 0
% 0.13/0.45 % Propositional unsat core size : 0
% 0.13/0.45 % Propositional preprocessing time : 0.000
% 0.13/0.45 % Propositional encoding time : 0.000
% 0.13/0.45 % Propositional solver time : 0.000
% 0.13/0.45 % Success case prop preproc time : 0.000
% 0.13/0.45 % Success case prop encoding time : 0.000
% 0.13/0.45 % Success case prop solver time : 0.000
% 0.13/0.45 % Current number of processed clauses : 147
% 0.13/0.45 % Positive orientable unit clauses : 27
% 0.13/0.45 % Positive unorientable unit clauses: 0
% 0.13/0.45 % Negative unit clauses : 9
% 0.13/0.45 % Non-unit-clauses : 111
% 0.13/0.45 % Current number of unprocessed clauses: 147
% 0.13/0.45 % ...number of literals in the above : 424
% 0.13/0.45 % Current number of archived formulas : 0
% 0.13/0.45 % Current number of archived clauses : 60
% 0.13/0.45 % Clause-clause subsumption calls (NU) : 4018
% 0.13/0.45 % Rec. Clause-clause subsumption calls : 3405
% 0.13/0.45 % Non-unit clause-clause subsumptions : 32
% 0.13/0.45 % Unit Clause-clause subsumption calls : 117
% 0.13/0.45 % Rewrite failures with RHS unbound : 0
% 0.13/0.45 % BW rewrite match attempts : 8
% 0.13/0.45 % BW rewrite match successes : 0
% 0.13/0.45 % Condensation attempts : 0
% 0.13/0.45 % Condensation successes : 0
% 0.13/0.45 % Termbank termtop insertions : 8604
% 0.13/0.45 % Search garbage collected termcells : 189
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.011 s
% 0.13/0.45 % System time : 0.004 s
% 0.13/0.45 % Total time : 0.015 s
% 0.13/0.45 % Maximum resident set size: 3436 pages
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.065 s
% 0.13/0.45 % System time : 0.015 s
% 0.13/0.45 % Total time : 0.080 s
% 0.13/0.45 % Maximum resident set size: 4608 pages
% 0.13/0.45 % E exiting
%------------------------------------------------------------------------------