%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN719-1 : 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 : n009.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 03:25:58 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 21 RR)
% Number of literals : 57 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 46 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p68_126,negated_conjecture,
( ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p66(f12(c78,c77),X1)
| ~ p67(f16(c80,X3),c82)
| p68(f19(f21(c83,c77),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p68_126) ).
cnf(p69_52,negated_conjecture,
( ~ p70(X2,X1)
| p69(f36(c86,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p69_52) ).
cnf(p66_41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p66_41) ).
cnf(p70_43,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p70_43) ).
cnf(p14_90,negated_conjecture,
( ~ p14(X3,X2)
| ~ p14(X3,X1)
| p14(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_90) ).
cnf(p14_38,negated_conjecture,
p14(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_38) ).
cnf(p67_42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p67_42) ).
cnf(p14_45,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
cnf(not_p68_46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p68_46) ).
cnf(c_0_9,negated_conjecture,
( ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p66(f12(c78,c77),X1)
| ~ p67(f16(c80,X3),c82)
| p68(f19(f21(c83,c77),X1),X2) ),
inference(fof_simplification,[status(thm)],[p68_126]) ).
cnf(c_0_10,negated_conjecture,
( ~ p70(X2,X1)
| p69(f36(c86,X1),X2) ),
inference(fof_simplification,[status(thm)],[p69_52]) ).
cnf(c_0_11,negated_conjecture,
( ~ p69(f36(c86,f38(X4,f40(f42(f44(f46(c87,X1),X2),X4),X3))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X2,f23(f26(c84,X4),X3))
| ~ p66(f12(c78,c77),X1)
| ~ p67(f16(c80,X3),c82)
| p68(f19(f21(c83,c77),X1),X2) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
p66(f12(c78,c77),c79),
p66_41 ).
cnf(c_0_13,negated_conjecture,
( ~ p70(X2,X1)
| p69(f36(c86,X1),X2) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
p70(f30(c88,X1),f38(c85,X2)),
p70_43 ).
cnf(c_0_15,negated_conjecture,
( ~ p14(X3,X2)
| ~ p14(X3,X1)
| p14(X1,X2) ),
inference(fof_simplification,[status(thm)],[p14_90]) ).
cnf(c_0_16,negated_conjecture,
( ~ p14(X1,f23(f26(c84,X2),X3))
| ~ p67(f16(c80,X3),c82)
| ~ p69(f36(c86,f38(X2,f40(f42(f44(f46(c87,c79),X1),X2),X3))),f30(c88,f32(c89,f8(c75,c76))))
| p68(f19(f21(c83,c77),c79),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p69(f36(c86,f38(c85,X1)),f30(c88,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p14(X3,X2)
| ~ p14(X3,X1)
| p14(X1,X2) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
p14(X1,X1),
p14_38 ).
cnf(c_0_20,negated_conjecture,
( ~ p14(X1,f23(f26(c84,c85),X2))
| ~ p67(f16(c80,X2),c82)
| p68(f19(f21(c83,c77),c79),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p67(f16(c80,c81),c82),
p67_42 ).
cnf(c_0_22,negated_conjecture,
( ~ p14(X2,X1)
| p14(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p14(f23(f26(c84,c85),X1),X1),
p14_45 ).
cnf(c_0_24,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
inference(fof_simplification,[status(thm)],[not_p68_46]) ).
cnf(c_0_25,negated_conjecture,
( ~ p14(X1,f23(f26(c84,c85),c81))
| p68(f19(f21(c83,c77),c79),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
p14(X1,f23(f26(c84,c85),X1)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
c_0_24 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:13:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.46 % 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 1606856 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: FHUNM-FFMS22-DFFFFFNN
% 0.14/0.46 % partial match(1): FHUNM-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 % new_bool_3 with pid 1606863 completed with status 0
% 0.14/0.46 % Result found by new_bool_3
% 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: FHUNM-FFMS22-DFFFFFNN
% 0.14/0.46 % partial match(1): FHUNM-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 % Preprocessing time : 0.003 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 : 126
% 0.14/0.46 % Removed by relevancy pruning/SinE : 0
% 0.14/0.46 % Initial clauses : 126
% 0.14/0.46 % Removed in clause preprocessing : 0
% 0.14/0.46 % Initial clauses in saturation : 126
% 0.14/0.46 % Processed clauses : 387
% 0.14/0.46 % ...of these trivial : 2
% 0.14/0.46 % ...subsumed : 5
% 0.14/0.46 % ...remaining for further processing : 380
% 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 : 342
% 0.14/0.46 % ...of the previous two non-redundant : 200
% 0.14/0.46 % ...aggressively subsumed : 0
% 0.14/0.46 % Contextual simplify-reflections : 0
% 0.14/0.46 % Paramodulations : 342
% 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 : 143
% 0.14/0.46 % ...of those cached : 44
% 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 : 254
% 0.14/0.46 % Positive orientable unit clauses : 70
% 0.14/0.46 % Positive unorientable unit clauses: 0
% 0.14/0.46 % Negative unit clauses : 1
% 0.14/0.46 % Non-unit-clauses : 183
% 0.14/0.46 % Current number of unprocessed clauses: 61
% 0.14/0.46 % ...number of literals in the above : 82
% 0.14/0.46 % Current number of archived formulas : 0
% 0.14/0.46 % Current number of archived clauses : 126
% 0.14/0.46 % Clause-clause subsumption calls (NU) : 8979
% 0.14/0.46 % Rec. Clause-clause subsumption calls : 7853
% 0.14/0.46 % Non-unit clause-clause subsumptions : 5
% 0.14/0.46 % Unit Clause-clause subsumption calls : 9
% 0.14/0.46 % Rewrite failures with RHS unbound : 0
% 0.14/0.46 % BW rewrite match attempts : 29
% 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 : 10521
% 0.14/0.46 % Search garbage collected termcells : 457
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.024 s
% 0.14/0.46 % System time : 0.007 s
% 0.14/0.46 % Total time : 0.031 s
% 0.14/0.46 % Maximum resident set size: 3776 pages
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.126 s
% 0.14/0.46 % System time : 0.016 s
% 0.14/0.46 % Total time : 0.141 s
% 0.14/0.46 % Maximum resident set size: 4608 pages
% 0.14/0.46 % E exiting
%------------------------------------------------------------------------------