%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN690-1 : 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 03:25:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 10.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 11 unt; 8 nHn; 18 RR)
% Number of literals : 72 ( 0 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_61,negated_conjecture,
( ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p34(c36,X3)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
cnf(p2_62,negated_conjecture,
( ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p34(c36,X3)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
cnf(p4_57,negated_conjecture,
( p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2)
| p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
cnf(p4_21,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
cnf(not_p2_20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).
cnf(p4_58,negated_conjecture,
( ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2)))
| p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
cnf(p4_22,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
cnf(c_0_8,negated_conjecture,
( ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p34(c36,X3)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_61]) ).
cnf(c_0_9,negated_conjecture,
( ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p34(c36,X3)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_62]) ).
cnf(c_0_10,negated_conjecture,
( ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p34(c36,X3)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| p2(X1,X2) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
( p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2)
| p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2)) ),
p4_57 ).
cnf(c_0_12,negated_conjecture,
p34(c36,c37),
p34_19 ).
cnf(c_0_13,negated_conjecture,
( ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p34(c36,X3)
| p2(X1,X2) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X3),X1),X2)),f5(f7(X3,X1),f18(f20(f22(f24(c45,c37),X3),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),X3),X1),X2)),f5(f7(X3,X2),f18(f20(f22(f24(c45,c37),X3),X1),X2)))
| p4(f5(f7(c39,X4),f30(f32(c42,c37),X3)),f5(f7(c39,X5),f30(f32(c42,c37),X3)))
| p4(f5(f26(f28(c43,c37),X3),f12(f14(f16(c41,X4),X5),f30(f32(c42,c37),X3))),f5(f26(f28(c44,c37),X3),f12(f14(f16(c41,X4),X5),f30(f32(c42,c37),X3))))
| p2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
p4_21 ).
cnf(c_0_16,negated_conjecture,
~ p2(c38,c40),
inference(fof_simplification,[status(thm)],[not_p2_20]) ).
cnf(c_0_17,negated_conjecture,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X3),X1),X2)),f5(f7(X3,X1),f18(f20(f22(f24(c45,c37),X3),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),X3),X1),X2)),f5(f7(X3,X2),f18(f20(f22(f24(c45,c37),X3),X1),X2)))
| ~ p4(f5(f7(X3,f26(f28(c43,c37),X3)),f30(f32(c42,c37),X3)),f5(f7(X3,f26(f28(c44,c37),X3)),f30(f32(c42,c37),X3)))
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2)))
| p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2)) ),
inference(fof_simplification,[status(thm)],[p4_58]) ).
cnf(c_0_19,negated_conjecture,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),c40)))
| p4(f5(f7(c39,X2),f30(f32(c42,c37),c39)),f5(f7(c39,X3),f30(f32(c42,c37),c39)))
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X2),X3),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X2),X3),f30(f32(c42,c37),c39))))
| p2(X1,c40) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
p4_22 ).
cnf(c_0_21,negated_conjecture,
~ p2(c38,c40),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),c40)))
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| p2(X1,c40) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2)))
| p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2)) ),
c_0_18 ).
cnf(c_0_24,negated_conjecture,
( p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39)))
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/10.37 % Computer : n002.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 11:14:57 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.41 Running first-order theorem proving
% 0.13/10.41 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
% 0.13/10.46 % Version: 3.5.1
% 0.13/10.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.13/10.46 % Starting new_bool_1 with 300s (1) cores
% 0.13/10.46 % Starting sh5l with 300s (1) cores
% 0.13/10.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3155515 completed with status 0
% 0.13/10.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.13/10.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/10.46 % No SInE strategy applied
% 0.13/10.46 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.13/10.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.13/10.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/10.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/10.46 % Starting new_bool_3 with 136s (1) cores
% 0.13/10.46 % Starting new_bool_1 with 136s (1) cores
% 0.13/10.46 % new_bool_1 with pid 3155523 completed with status 0
% 0.13/10.46 % Result found by new_bool_1
% 0.13/10.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/10.46 % No SInE strategy applied
% 0.13/10.46 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.13/10.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.13/10.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/10.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/10.46 % Starting new_bool_3 with 136s (1) cores
% 0.13/10.46 % Starting new_bool_1 with 136s (1) cores
% 0.13/10.46 % Preprocessing time : 0.001 s
% 0.13/10.46 % Presaturation interreduction done
% 0.13/10.46
% 0.13/10.46 % Proof found!
% 0.13/10.46 % SZS status Unsatisfiable
% 0.13/10.46 % SZS output start CNFRefutation
% See solution above
% 0.13/10.46 % Parsed axioms : 62
% 0.13/10.46 % Removed by relevancy pruning/SinE : 0
% 0.13/10.46 % Initial clauses : 62
% 0.13/10.46 % Removed in clause preprocessing : 0
% 0.13/10.46 % Initial clauses in saturation : 62
% 0.13/10.46 % Processed clauses : 481
% 0.13/10.46 % ...of these trivial : 115
% 0.13/10.46 % ...subsumed : 2
% 0.13/10.46 % ...remaining for further processing : 364
% 0.13/10.46 % Other redundant clauses eliminated : 0
% 0.13/10.46 % Clauses deleted for lack of memory : 0
% 0.13/10.46 % Backward-subsumed : 10
% 0.13/10.46 % Backward-rewritten : 0
% 0.13/10.46 % Generated clauses : 1136
% 0.13/10.46 % ...of the previous two non-redundant : 617
% 0.13/10.46 % ...aggressively subsumed : 0
% 0.13/10.46 % Contextual simplify-reflections : 0
% 0.13/10.46 % Paramodulations : 1136
% 0.13/10.46 % Factorizations : 0
% 0.13/10.46 % NegExts : 0
% 0.13/10.46 % Equation resolutions : 0
% 0.13/10.46 % Disequality decompositions : 0
% 0.13/10.46 % Total rewrite steps : 635
% 0.13/10.46 % ...of those cached : 484
% 0.13/10.46 % Propositional unsat checks : 0
% 0.13/10.46 % Propositional check models : 0
% 0.13/10.46 % Propositional check unsatisfiable : 0
% 0.13/10.46 % Propositional clauses : 0
% 0.13/10.46 % Propositional clauses after purity: 0
% 0.13/10.46 % Propositional unsat core size : 0
% 0.13/10.46 % Propositional preprocessing time : 0.000
% 0.13/10.46 % Propositional encoding time : 0.000
% 0.13/10.46 % Propositional solver time : 0.000
% 0.13/10.46 % Success case prop preproc time : 0.000
% 0.13/10.46 % Success case prop encoding time : 0.000
% 0.13/10.46 % Success case prop solver time : 0.000
% 0.13/10.46 % Current number of processed clauses : 292
% 0.13/10.46 % Positive orientable unit clauses : 111
% 0.13/10.46 % Positive unorientable unit clauses: 0
% 0.13/10.46 % Negative unit clauses : 2
% 0.13/10.46 % Non-unit-clauses : 179
% 0.13/10.46 % Current number of unprocessed clauses: 251
% 0.13/10.46 % ...number of literals in the above : 532
% 0.13/10.46 % Current number of archived formulas : 0
% 0.13/10.46 % Current number of archived clauses : 72
% 0.13/10.46 % Clause-clause subsumption calls (NU) : 13821
% 0.13/10.46 % Rec. Clause-clause subsumption calls : 9304
% 0.13/10.46 % Non-unit clause-clause subsumptions : 6
% 0.13/10.46 % Unit Clause-clause subsumption calls : 852
% 0.13/10.46 % Rewrite failures with RHS unbound : 0
% 0.13/10.46 % BW rewrite match attempts : 2652
% 0.13/10.46 % BW rewrite match successes : 0
% 0.13/10.46 % Condensation attempts : 0
% 0.13/10.46 % Condensation successes : 0
% 0.13/10.46 % Termbank termtop insertions : 39953
% 0.13/10.46 % Search garbage collected termcells : 219
% 0.13/10.46
% 0.13/10.46 % -------------------------------------------------
% 0.13/10.46 % User time : 0.029 s
% 0.13/10.46 % System time : 0.002 s
% 0.13/10.46 % Total time : 0.031 s
% 0.13/10.46 % Maximum resident set size: 3708 pages
% 0.13/10.46
% 0.13/10.46 % -------------------------------------------------
% 0.13/10.46 % User time : 0.141 s
% 0.13/10.46 % System time : 0.017 s
% 0.13/10.46 % Total time : 0.158 s
% 0.13/10.46 % Maximum resident set size: 4864 pages
% 0.13/10.46 % E exiting
%------------------------------------------------------------------------------