%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN715-1 : 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 : n003.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 03:25:57 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 13 unt; 0 nHn; 26 RR)
% Number of literals : 64 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 92 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p62_67,negated_conjecture,
( ~ p27(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_67) ).
cnf(p27_23,negated_conjecture,
p27(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_23) ).
cnf(p4_86,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).
cnf(p63_101,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X3),X4),X1),X2)
| p63(f24(f26(f30(c73,X1),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_101) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
cnf(not_p63_103,negated_conjecture,
( ~ p62(f33(f35(f37(f39(f41(c74,X6),X3),X5),X1),X2),X4)
| ~ p63(f24(f26(f30(c73,X1),X2),f31(X3,X4)),f28(X5,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p63_103) ).
cnf(p63_69,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_69) ).
cnf(p62_97,negated_conjecture,
( ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2)
| p62(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
cnf(p3_106,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).
cnf(p2_28,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(c_0_10,negated_conjecture,
( ~ p27(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
inference(fof_simplification,[status(thm)],[p62_67]) ).
cnf(c_0_11,negated_conjecture,
( ~ p27(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p27(X1,X1),
p27_23 ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_86]) ).
cnf(c_0_14,negated_conjecture,
( ~ p4(X3,X1)
| ~ p62(X3,X2)
| p62(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X3),X4),X1),X2)
| p63(f24(f26(f30(c73,X1),X2),X3),X4) ),
inference(fof_simplification,[status(thm)],[p63_101]) ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X5,X2)
| ~ p2(X4,X1)
| ~ p62(f5(X4,X5),X3)
| p62(f5(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
p62_100 ).
cnf(c_0_19,negated_conjecture,
( ~ p62(f33(f35(f37(f39(f41(c74,X6),X3),X5),X1),X2),X4)
| ~ p63(f24(f26(f30(c73,X1),X2),f31(X3,X4)),f28(X5,X4)) ),
inference(fof_simplification,[status(thm)],[not_p63_103]) ).
cnf(c_0_20,negated_conjecture,
( ~ p63(f24(f26(f30(c73,X3),X4),X1),X2)
| p63(f24(f26(f30(c73,X1),X2),X3),X4) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
p63_69 ).
cnf(c_0_22,negated_conjecture,
( ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2)
| p62(X1,X2) ),
inference(fof_simplification,[status(thm)],[p62_97]) ).
cnf(c_0_23,negated_conjecture,
( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X2)
| ~ p2(c64,X1)
| p62(f5(X1,X2),c72) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
p3_106 ).
cnf(c_0_25,negated_conjecture,
( ~ p62(f33(f35(f37(f39(f41(c74,X6),X3),X5),X1),X2),X4)
| ~ p63(f24(f26(f30(c73,X1),X2),f31(X3,X4)),f28(X5,X4)) ),
c_0_19 ).
cnf(c_0_26,negated_conjecture,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( ~ p62(f5(c64,f16(f19(f21(c66,X1),X3),X4)),X2)
| p62(X1,X2) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
( ~ p2(c64,X1)
| p62(f5(X1,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
p2(X1,X1),
p2_28 ).
cnf(c_0_30,negated_conjecture,
~ p62(f33(f35(f37(f39(f41(c74,X1),c68),c69),c70),c71),c72),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN715-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:14:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.46 % Version: 3.5.1
% 0.14/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46 % Starting sh5l with 300s (1) cores
% 0.14/0.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4151873 completed with status 0
% 0.14/0.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FHHNM-FFMF22-DFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.46 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4151880 completed with status 0
% 0.14/0.46 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FHHNM-FFMF22-DFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.46 % Preprocessing time : 0.001 s
% 0.14/0.46 % Presaturation interreduction done
% 0.14/0.46
% 0.14/0.46 % Proof found!
% 0.14/0.46 % SZS status Unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation
% See solution above
% 0.14/0.46 % Parsed axioms : 106
% 0.14/0.46 % Removed by relevancy pruning/SinE : 0
% 0.14/0.46 % Initial clauses : 106
% 0.14/0.46 % Removed in clause preprocessing : 0
% 0.14/0.46 % Initial clauses in saturation : 106
% 0.14/0.46 % Processed clauses : 300
% 0.14/0.46 % ...of these trivial : 0
% 0.14/0.46 % ...subsumed : 5
% 0.14/0.46 % ...remaining for further processing : 295
% 0.14/0.46 % Other redundant clauses eliminated : 0
% 0.14/0.46 % Clauses deleted for lack of memory : 0
% 0.14/0.46 % Backward-subsumed : 0
% 0.14/0.46 % Backward-rewritten : 0
% 0.14/0.46 % Generated clauses : 244
% 0.14/0.46 % ...of the previous two non-redundant : 204
% 0.14/0.46 % ...aggressively subsumed : 0
% 0.14/0.46 % Contextual simplify-reflections : 0
% 0.14/0.46 % Paramodulations : 244
% 0.14/0.46 % Factorizations : 0
% 0.14/0.46 % NegExts : 0
% 0.14/0.46 % Equation resolutions : 0
% 0.14/0.46 % Disequality decompositions : 0
% 0.14/0.46 % Total rewrite steps : 37
% 0.14/0.46 % ...of those cached : 0
% 0.14/0.46 % Propositional unsat checks : 0
% 0.14/0.46 % Propositional check models : 0
% 0.14/0.46 % Propositional check unsatisfiable : 0
% 0.14/0.46 % Propositional clauses : 0
% 0.14/0.46 % Propositional clauses after purity: 0
% 0.14/0.46 % Propositional unsat core size : 0
% 0.14/0.46 % Propositional preprocessing time : 0.000
% 0.14/0.46 % Propositional encoding time : 0.000
% 0.14/0.46 % Propositional solver time : 0.000
% 0.14/0.46 % Success case prop preproc time : 0.000
% 0.14/0.46 % Success case prop encoding time : 0.000
% 0.14/0.46 % Success case prop solver time : 0.000
% 0.14/0.46 % Current number of processed clauses : 190
% 0.14/0.46 % Positive orientable unit clauses : 38
% 0.14/0.46 % Positive unorientable unit clauses: 0
% 0.14/0.46 % Negative unit clauses : 1
% 0.14/0.46 % Non-unit-clauses : 151
% 0.14/0.46 % Current number of unprocessed clauses: 115
% 0.14/0.46 % ...number of literals in the above : 430
% 0.14/0.46 % Current number of archived formulas : 0
% 0.14/0.46 % Current number of archived clauses : 105
% 0.14/0.46 % Clause-clause subsumption calls (NU) : 9312
% 0.14/0.46 % Rec. Clause-clause subsumption calls : 7953
% 0.14/0.46 % Non-unit clause-clause subsumptions : 5
% 0.14/0.46 % Unit Clause-clause subsumption calls : 0
% 0.14/0.46 % Rewrite failures with RHS unbound : 0
% 0.14/0.46 % BW rewrite match attempts : 0
% 0.14/0.46 % BW rewrite match successes : 0
% 0.14/0.46 % Condensation attempts : 0
% 0.14/0.46 % Condensation successes : 0
% 0.14/0.46 % Termbank termtop insertions : 8686
% 0.14/0.46 % Search garbage collected termcells : 355
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.013 s
% 0.14/0.46 % System time : 0.006 s
% 0.14/0.46 % Total time : 0.019 s
% 0.14/0.46 % Maximum resident set size: 3756 pages
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.054 s
% 0.14/0.46 % System time : 0.018 s
% 0.14/0.46 % Total time : 0.073 s
% 0.14/0.46 % Maximum resident set size: 4864 pages
% 0.14/0.46 % E exiting
%------------------------------------------------------------------------------