%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 03:25:56 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 15 unt; 0 nHn; 22 RR)
% Number of literals : 55 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p47_81,negated_conjecture,
( ~ p46(f23(c58,X1),f20(c59,X2))
| p47(f31(f33(c62,c63),f34(c66,X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_81) ).
cnf(p47_83,negated_conjecture,
( ~ p47(f31(f33(c62,c63),X1),X2)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X1)),f25(f28(c64,c65),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_83) ).
cnf(p46_29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_29) ).
cnf(p30_72,negated_conjecture,
( ~ p29(X1,X3)
| ~ p19(X2,X4)
| p30(f31(X1,X2),f31(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_72) ).
cnf(p47_60,negated_conjecture,
( ~ p19(X4,X2)
| ~ p47(X3,X4)
| ~ p30(X3,X1)
| p47(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_60) ).
cnf(p29_14,negated_conjecture,
p29(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_14) ).
cnf(p19_59,negated_conjecture,
p19(f25(f28(c64,X1),f34(c66,X2)),f34(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_59) ).
cnf(not_p47_64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_64) ).
cnf(p19_21,negated_conjecture,
p19(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_21) ).
cnf(c_0_9,negated_conjecture,
( ~ p46(f23(c58,X1),f20(c59,X2))
| p47(f31(f33(c62,c63),f34(c66,X1)),X2) ),
inference(fof_simplification,[status(thm)],[p47_81]) ).
cnf(c_0_10,negated_conjecture,
( ~ p47(f31(f33(c62,c63),X1),X2)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X1)),f25(f28(c64,c65),X2)) ),
inference(fof_simplification,[status(thm)],[p47_83]) ).
cnf(c_0_11,negated_conjecture,
( ~ p46(f23(c58,X1),f20(c59,X2))
| p47(f31(f33(c62,c63),f34(c66,X1)),X2) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
p46_29 ).
cnf(c_0_13,negated_conjecture,
( ~ p29(X1,X3)
| ~ p19(X2,X4)
| p30(f31(X1,X2),f31(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p30_72]) ).
cnf(c_0_14,negated_conjecture,
( ~ p19(X4,X2)
| ~ p47(X3,X4)
| ~ p30(X3,X1)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_60]) ).
cnf(c_0_15,negated_conjecture,
( ~ p47(f31(f33(c62,c63),X1),X2)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X1)),f25(f28(c64,c65),X2)) ),
c_0_10 ).
cnf(c_0_16,negated_conjecture,
p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( ~ p29(X1,X3)
| ~ p19(X2,X4)
| p30(f31(X1,X2),f31(X3,X4)) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
p29(X1,X1),
p29_14 ).
cnf(c_0_19,negated_conjecture,
( ~ p19(X4,X2)
| ~ p47(X3,X4)
| ~ p30(X3,X1)
| p47(X1,X2) ),
c_0_14 ).
cnf(c_0_20,negated_conjecture,
p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( ~ p19(X2,X3)
| p30(f31(X1,X2),f31(X1,X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p19(f25(f28(c64,X1),f34(c66,X2)),f34(X1,X2)),
p19_59 ).
cnf(c_0_23,negated_conjecture,
( ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),X1)
| ~ p19(f25(f28(c64,c65),c60),X2)
| p47(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p30(f31(X1,f25(f28(c64,X2),f34(c66,X3))),f31(X1,f34(X2,X3))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(fof_simplification,[status(thm)],[not_p47_64]) ).
cnf(c_0_26,negated_conjecture,
( ~ p19(f25(f28(c64,c65),c60),X1)
| p47(f31(f33(c62,c63),f34(c65,c56)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
p19(X1,X1),
p19_21 ).
cnf(c_0_28,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
c_0_25 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:13:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.45 % Version: 3.5.1
% 0.14/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.45 % Starting sh5l with 300s (1) cores
% 0.14/0.45 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2427018 completed with status 0
% 0.14/0.45 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45 % No SInE strategy applied
% 0.14/0.45 % Search class: FHUNM-FFMS22-MFFFFFNN
% 0.14/0.45 % partial match(1): FGUNM-FFMS22-MFFFFFNN
% 0.14/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.45 % new_bool_3 with pid 2427026 completed with status 0
% 0.14/0.45 % Result found by new_bool_3
% 0.14/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.45 % No SInE strategy applied
% 0.14/0.45 % Search class: FHUNM-FFMS22-MFFFFFNN
% 0.14/0.45 % partial match(1): FGUNM-FFMS22-MFFFFFNN
% 0.14/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.45 % Preprocessing time : 0.001 s
% 0.14/0.45 % Presaturation interreduction done
% 0.14/0.45
% 0.14/0.45 % Proof found!
% 0.14/0.45 % SZS status Unsatisfiable
% 0.14/0.45 % SZS output start CNFRefutation
% See solution above
% 0.14/0.45 % Parsed axioms : 83
% 0.14/0.45 % Removed by relevancy pruning/SinE : 0
% 0.14/0.45 % Initial clauses : 83
% 0.14/0.45 % Removed in clause preprocessing : 0
% 0.14/0.45 % Initial clauses in saturation : 83
% 0.14/0.45 % Processed clauses : 240
% 0.14/0.45 % ...of these trivial : 0
% 0.14/0.45 % ...subsumed : 0
% 0.14/0.45 % ...remaining for further processing : 240
% 0.14/0.45 % Other redundant clauses eliminated : 0
% 0.14/0.45 % Clauses deleted for lack of memory : 0
% 0.14/0.45 % Backward-subsumed : 0
% 0.14/0.45 % Backward-rewritten : 0
% 0.14/0.45 % Generated clauses : 152
% 0.14/0.45 % ...of the previous two non-redundant : 90
% 0.14/0.45 % ...aggressively subsumed : 0
% 0.14/0.45 % Contextual simplify-reflections : 0
% 0.14/0.45 % Paramodulations : 152
% 0.14/0.45 % Factorizations : 0
% 0.14/0.45 % NegExts : 0
% 0.14/0.45 % Equation resolutions : 0
% 0.14/0.45 % Disequality decompositions : 0
% 0.14/0.45 % Total rewrite steps : 61
% 0.14/0.45 % ...of those cached : 3
% 0.14/0.45 % Propositional unsat checks : 0
% 0.14/0.45 % Propositional check models : 0
% 0.14/0.45 % Propositional check unsatisfiable : 0
% 0.14/0.45 % Propositional clauses : 0
% 0.14/0.45 % Propositional clauses after purity: 0
% 0.14/0.45 % Propositional unsat core size : 0
% 0.14/0.45 % Propositional preprocessing time : 0.000
% 0.14/0.45 % Propositional encoding time : 0.000
% 0.14/0.45 % Propositional solver time : 0.000
% 0.14/0.45 % Success case prop preproc time : 0.000
% 0.14/0.45 % Success case prop encoding time : 0.000
% 0.14/0.45 % Success case prop solver time : 0.000
% 0.14/0.45 % Current number of processed clauses : 157
% 0.14/0.45 % Positive orientable unit clauses : 42
% 0.14/0.45 % Positive unorientable unit clauses: 0
% 0.14/0.45 % Negative unit clauses : 2
% 0.14/0.45 % Non-unit-clauses : 113
% 0.14/0.45 % Current number of unprocessed clauses: 16
% 0.14/0.45 % ...number of literals in the above : 21
% 0.14/0.45 % Current number of archived formulas : 0
% 0.14/0.45 % Current number of archived clauses : 83
% 0.14/0.45 % Clause-clause subsumption calls (NU) : 2852
% 0.14/0.45 % Rec. Clause-clause subsumption calls : 2746
% 0.14/0.45 % Non-unit clause-clause subsumptions : 0
% 0.14/0.45 % Unit Clause-clause subsumption calls : 0
% 0.14/0.45 % Rewrite failures with RHS unbound : 0
% 0.14/0.45 % BW rewrite match attempts : 8
% 0.14/0.45 % BW rewrite match successes : 0
% 0.14/0.45 % Condensation attempts : 0
% 0.14/0.45 % Condensation successes : 0
% 0.14/0.45 % Termbank termtop insertions : 5845
% 0.14/0.45 % Search garbage collected termcells : 278
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.008 s
% 0.14/0.45 % System time : 0.005 s
% 0.14/0.45 % Total time : 0.013 s
% 0.14/0.45 % Maximum resident set size: 3728 pages
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.043 s
% 0.14/0.45 % System time : 0.021 s
% 0.14/0.45 % Total time : 0.064 s
% 0.14/0.45 % Maximum resident set size: 4864 pages
% 0.14/0.45 % E exiting
%------------------------------------------------------------------------------