%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN713-1 : 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 : n006.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 0.15s 10.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 22 unt; 3 nHn; 34 RR)
% Number of literals : 82 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_81,negated_conjecture,
( ~ p13(X2,X4)
| ~ p12(X1,X3)
| p10(f14(X1,X2),f14(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_81) ).
cnf(p13_105,negated_conjecture,
( ~ p59(f38(c72,X2),f35(c73,X1))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| p13(X1,f23(c74,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_105) ).
cnf(not_p58_80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p58_80) ).
cnf(p56_76,negated_conjecture,
( ~ p4(X4,X1)
| ~ p56(X4,X3)
| ~ p40(X3,X2)
| p56(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_76) ).
cnf(p4_87,negated_conjecture,
( ~ p9(X1,X3)
| ~ p10(X2,X4)
| p4(f11(X1,X2),f11(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_87) ).
cnf(p12_34,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).
cnf(p59_35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_35) ).
cnf(p56_38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_38) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p40_14,negated_conjecture,
p40(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40_14) ).
cnf(p57_101,negated_conjecture,
( ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1)
| p57(f26(f41(c78,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_101) ).
cnf(p57_74,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f28(c71,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_74) ).
cnf(not_p57_39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_39) ).
cnf(c_0_13,negated_conjecture,
( ~ p13(X2,X4)
| ~ p12(X1,X3)
| p10(f14(X1,X2),f14(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p10_81]) ).
cnf(c_0_14,negated_conjecture,
( ~ p59(f38(c72,X2),f35(c73,X1))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| p13(X1,f23(c74,X2)) ),
inference(fof_simplification,[status(thm)],[p13_105]) ).
cnf(c_0_15,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
inference(fof_simplification,[status(thm)],[not_p58_80]) ).
cnf(c_0_16,negated_conjecture,
( ~ p4(X4,X1)
| ~ p56(X4,X3)
| ~ p40(X3,X2)
| p56(X1,X2) ),
inference(fof_simplification,[status(thm)],[p56_76]) ).
cnf(c_0_17,negated_conjecture,
( ~ p9(X1,X3)
| ~ p10(X2,X4)
| p4(f11(X1,X2),f11(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_87]) ).
cnf(c_0_18,negated_conjecture,
( ~ p13(X2,X4)
| ~ p12(X1,X3)
| p10(f14(X1,X2),f14(X3,X4)) ),
c_0_13 ).
cnf(c_0_19,negated_conjecture,
p12(X1,X1),
p12_34 ).
cnf(c_0_20,negated_conjecture,
( ~ p59(f38(c72,X2),f35(c73,X1))
| p58(f31(f33(c75,c76),f23(c69,X2)),f19(f22(c70,c69),X1))
| p13(X1,f23(c74,X2)) ),
c_0_14 ).
cnf(c_0_21,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
p59_35 ).
cnf(c_0_22,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
c_0_15 ).
cnf(c_0_23,negated_conjecture,
( ~ p4(X4,X1)
| ~ p56(X4,X3)
| ~ p40(X3,X2)
| p56(X1,X2) ),
c_0_16 ).
cnf(c_0_24,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
p56_38 ).
cnf(c_0_25,negated_conjecture,
( ~ p9(X1,X3)
| ~ p10(X2,X4)
| p4(f11(X1,X2),f11(X3,X4)) ),
c_0_17 ).
cnf(c_0_26,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_27,negated_conjecture,
( ~ p13(X2,X3)
| p10(f14(X1,X2),f14(X1,X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
p13(c68,f23(c74,c77)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( ~ p40(c64,X2)
| ~ p4(f11(c65,f14(f17(c66,c67),c68)),X1)
| p56(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
p40(X1,X1),
p40_14 ).
cnf(c_0_31,negated_conjecture,
( ~ p10(X2,X3)
| p4(f11(X1,X2),f11(X1,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
p10(f14(X1,c68),f14(X1,f23(c74,c77))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1)
| p57(f26(f41(c78,X1),X2),X3) ),
inference(fof_simplification,[status(thm)],[p57_101]) ).
cnf(c_0_34,negated_conjecture,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),X1)
| p56(X1,c64) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
p4(f11(X1,f14(X2,c68)),f11(X1,f14(X2,f23(c74,c77)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f28(c71,X1),X2),X3) ),
inference(fof_simplification,[status(thm)],[p57_74]) ).
cnf(c_0_37,negated_conjecture,
( ~ p56(f11(c65,f14(f17(c66,X2),f23(c74,X3))),X1)
| p57(f26(f41(c78,X1),X2),X3) ),
c_0_33 ).
cnf(c_0_38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(fof_simplification,[status(thm)],[not_p57_39]) ).
cnf(c_0_40,negated_conjecture,
( ~ p57(f26(X1,X2),X3)
| p57(f26(f28(c71,X1),X2),X3) ),
c_0_36 ).
cnf(c_0_41,negated_conjecture,
p57(f26(f41(c78,c64),c67),c77),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
c_0_39 ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.38 % Computer : n006.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 11:12:40 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.47 % Version: 3.5.1
% 0.15/10.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/10.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/10.47 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.47 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.47 % Starting sh5l with 300s (1) cores
% 0.15/10.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2713312 completed with status 0
% 0.15/10.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/10.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/10.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/10.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.47 % No SInE strategy applied
% 0.15/10.47 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.15/10.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.47 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/10.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/10.47 % Starting new_bool_3 with 136s (1) cores
% 0.15/10.47 % Starting new_bool_1 with 136s (1) cores
% 0.15/10.47 % new_bool_3 with pid 2713321 completed with status 0
% 0.15/10.47 % Result found by new_bool_3
% 0.15/10.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/10.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/10.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.47 % No SInE strategy applied
% 0.15/10.47 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.15/10.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.47 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/10.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/10.47 % Starting new_bool_3 with 136s (1) cores
% 0.15/10.47 % Preprocessing time : 0.002 s
% 0.15/10.47 % Presaturation interreduction done
% 0.15/10.47
% 0.15/10.47 % Proof found!
% 0.15/10.47 % SZS status Unsatisfiable
% 0.15/10.47 % SZS output start CNFRefutation
% See solution above
% 0.15/10.47 % Parsed axioms : 105
% 0.15/10.47 % Removed by relevancy pruning/SinE : 0
% 0.15/10.47 % Initial clauses : 105
% 0.15/10.47 % Removed in clause preprocessing : 0
% 0.15/10.47 % Initial clauses in saturation : 105
% 0.15/10.47 % Processed clauses : 320
% 0.15/10.47 % ...of these trivial : 7
% 0.15/10.47 % ...subsumed : 0
% 0.15/10.47 % ...remaining for further processing : 313
% 0.15/10.47 % Other redundant clauses eliminated : 0
% 0.15/10.47 % Clauses deleted for lack of memory : 0
% 0.15/10.47 % Backward-subsumed : 0
% 0.15/10.47 % Backward-rewritten : 0
% 0.15/10.47 % Generated clauses : 237
% 0.15/10.47 % ...of the previous two non-redundant : 128
% 0.15/10.47 % ...aggressively subsumed : 0
% 0.15/10.47 % Contextual simplify-reflections : 0
% 0.15/10.47 % Paramodulations : 237
% 0.15/10.47 % Factorizations : 0
% 0.15/10.47 % NegExts : 0
% 0.15/10.47 % Equation resolutions : 0
% 0.15/10.47 % Disequality decompositions : 0
% 0.15/10.47 % Total rewrite steps : 114
% 0.15/10.47 % ...of those cached : 19
% 0.15/10.47 % Propositional unsat checks : 0
% 0.15/10.47 % Propositional check models : 0
% 0.15/10.47 % Propositional check unsatisfiable : 0
% 0.15/10.47 % Propositional clauses : 0
% 0.15/10.47 % Propositional clauses after purity: 0
% 0.15/10.47 % Propositional unsat core size : 0
% 0.15/10.47 % Propositional preprocessing time : 0.000
% 0.15/10.47 % Propositional encoding time : 0.000
% 0.15/10.47 % Propositional solver time : 0.000
% 0.15/10.47 % Success case prop preproc time : 0.000
% 0.15/10.47 % Success case prop encoding time : 0.000
% 0.15/10.47 % Success case prop solver time : 0.000
% 0.15/10.47 % Current number of processed clauses : 208
% 0.15/10.47 % Positive orientable unit clauses : 63
% 0.15/10.47 % Positive unorientable unit clauses: 0
% 0.15/10.47 % Negative unit clauses : 2
% 0.15/10.47 % Non-unit-clauses : 143
% 0.15/10.47 % Current number of unprocessed clauses: 17
% 0.15/10.47 % ...number of literals in the above : 26
% 0.15/10.47 % Current number of archived formulas : 0
% 0.15/10.47 % Current number of archived clauses : 105
% 0.15/10.47 % Clause-clause subsumption calls (NU) : 5121
% 0.15/10.47 % Rec. Clause-clause subsumption calls : 4819
% 0.15/10.47 % Non-unit clause-clause subsumptions : 0
% 0.15/10.47 % Unit Clause-clause subsumption calls : 0
% 0.15/10.47 % Rewrite failures with RHS unbound : 0
% 0.15/10.47 % BW rewrite match attempts : 5
% 0.15/10.47 % BW rewrite match successes : 0
% 0.15/10.47 % Condensation attempts : 0
% 0.15/10.47 % Condensation successes : 0
% 0.15/10.47 % Termbank termtop insertions : 7552
% 0.15/10.47 % Search garbage collected termcells : 365
% 0.15/10.47
% 0.15/10.47 % -------------------------------------------------
% 0.15/10.47 % User time : 0.021 s
% 0.15/10.47 % System time : 0.005 s
% 0.15/10.47 % Total time : 0.026 s
% 0.15/10.47 % Maximum resident set size: 3752 pages
% 0.15/10.47
% 0.15/10.47 % -------------------------------------------------
% 0.15/10.47 % User time : 0.099 s
% 0.15/10.47 % System time : 0.024 s
% 0.15/10.47 % Total time : 0.123 s
% 0.15/10.47 % Maximum resident set size: 4608 pages
% 0.15/10.47 % E exiting
%------------------------------------------------------------------------------