%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN691-1 : 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 : n026.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 03:35:32 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.48s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 65 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 81 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p39_45,negated_conjecture,
( ~ p22(X4,X2)
| ~ p4(X3,X1)
| ~ p39(X3,X4)
| p39(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_45) ).
cnf(p22_15,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_15) ).
cnf(p4_50,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_50) ).
cnf(p39_46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_46) ).
cnf(p39_63,negated_conjecture,
( ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2)
| p39(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_63) ).
cnf(p3_67,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_67) ).
cnf(not_p39_43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_43) ).
cnf(p39_64,negated_conjecture,
( ~ p39(X1,X4)
| p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_64) ).
cnf(p39_44,negated_conjecture,
( ~ p39(f17(f19(f21(c47,X1),X3),X4),X2)
| p39(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_44) ).
cnf(p2_17,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(c_0_10,negated_conjecture,
( ~ p22(X4,X2)
| ~ p4(X3,X1)
| ~ p39(X3,X4)
| p39(X1,X2) ),
inference(fof_simplification,[status(thm)],[p39_45]) ).
cnf(c_0_11,negated_conjecture,
( ~ p22(X4,X2)
| ~ p4(X3,X1)
| ~ p39(X3,X4)
| p39(X1,X2) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p22(X1,X1),
p22_15 ).
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_50]) ).
cnf(c_0_14,negated_conjecture,
( ~ p4(X3,X1)
| ~ p39(X3,X2)
| p39(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,
( ~ p3(X5,X2)
| ~ p2(X4,X1)
| ~ p39(f5(X4,X5),X3)
| p39(f5(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
p39_46 ).
cnf(c_0_18,negated_conjecture,
( ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2)
| p39(X1,X2) ),
inference(fof_simplification,[status(thm)],[p39_63]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X2)
| ~ p2(c40,X1)
| p39(f5(X1,X2),c46) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
p3_67 ).
cnf(c_0_21,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(fof_simplification,[status(thm)],[not_p39_43]) ).
cnf(c_0_22,negated_conjecture,
( ~ p39(X1,X4)
| p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4) ),
inference(fof_simplification,[status(thm)],[p39_64]) ).
cnf(c_0_23,negated_conjecture,
( ~ p39(f17(f19(f21(c47,X1),X3),X4),X2)
| p39(X1,X2) ),
inference(fof_simplification,[status(thm)],[p39_44]) ).
cnf(c_0_24,negated_conjecture,
( ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2)
| p39(X1,X2) ),
c_0_18 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(c40,X1)
| p39(f5(X1,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
p2(X1,X1),
p2_17 ).
cnf(c_0_27,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
c_0_21 ).
cnf(c_0_28,negated_conjecture,
( ~ p39(X1,X4)
| p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4) ),
c_0_22 ).
cnf(c_0_29,negated_conjecture,
( ~ p39(f17(f19(f21(c47,X1),X3),X4),X2)
| p39(X1,X2) ),
c_0_23 ).
cnf(c_0_30,negated_conjecture,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,negated_conjecture,
~ p39(c43,c46),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n026.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 21 11:14:53 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 0.22/0.48 % Version: 3.5.1
% 0.22/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.48 % Starting sh5l with 300s (1) cores
% 0.22/0.48 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2126729 completed with status 0
% 0.22/0.48 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.22/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.48 % No SInE strategy applied
% 0.22/0.48 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.22/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.48 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2126737 completed with status 0
% 0.22/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.22/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.48 % No SInE strategy applied
% 0.22/0.48 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.22/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/0.48 % Preprocessing time : 0.002 s
% 0.22/0.48 % Presaturation interreduction done
% 0.22/0.48
% 0.22/0.48 % Proof found!
% 0.22/0.48 % SZS status Unsatisfiable
% 0.22/0.48 % SZS output start CNFRefutation
% See solution above
% 0.22/0.48 % Parsed axioms : 67
% 0.22/0.48 % Removed by relevancy pruning/SinE : 0
% 0.22/0.48 % Initial clauses : 67
% 0.22/0.48 % Removed in clause preprocessing : 0
% 0.22/0.48 % Initial clauses in saturation : 67
% 0.22/0.48 % Processed clauses : 170
% 0.22/0.48 % ...of these trivial : 0
% 0.22/0.48 % ...subsumed : 0
% 0.22/0.48 % ...remaining for further processing : 170
% 0.22/0.48 % Other redundant clauses eliminated : 0
% 0.22/0.48 % Clauses deleted for lack of memory : 0
% 0.22/0.48 % Backward-subsumed : 0
% 0.22/0.48 % Backward-rewritten : 0
% 0.22/0.48 % Generated clauses : 111
% 0.22/0.48 % ...of the previous two non-redundant : 87
% 0.22/0.48 % ...aggressively subsumed : 0
% 0.22/0.48 % Contextual simplify-reflections : 0
% 0.22/0.48 % Paramodulations : 111
% 0.22/0.48 % Factorizations : 0
% 0.22/0.48 % NegExts : 0
% 0.22/0.48 % Equation resolutions : 0
% 0.22/0.48 % Disequality decompositions : 0
% 0.22/0.48 % Total rewrite steps : 22
% 0.22/0.48 % ...of those cached : 0
% 0.22/0.48 % Propositional unsat checks : 0
% 0.22/0.48 % Propositional check models : 0
% 0.22/0.48 % Propositional check unsatisfiable : 0
% 0.22/0.48 % Propositional clauses : 0
% 0.22/0.48 % Propositional clauses after purity: 0
% 0.22/0.48 % Propositional unsat core size : 0
% 0.22/0.48 % Propositional preprocessing time : 0.000
% 0.22/0.48 % Propositional encoding time : 0.000
% 0.22/0.48 % Propositional solver time : 0.000
% 0.22/0.48 % Success case prop preproc time : 0.000
% 0.22/0.48 % Success case prop encoding time : 0.000
% 0.22/0.48 % Success case prop solver time : 0.000
% 0.22/0.48 % Current number of processed clauses : 103
% 0.22/0.48 % Positive orientable unit clauses : 24
% 0.22/0.48 % Positive unorientable unit clauses: 0
% 0.22/0.48 % Negative unit clauses : 2
% 0.22/0.48 % Non-unit-clauses : 77
% 0.22/0.48 % Current number of unprocessed clauses: 50
% 0.22/0.48 % ...number of literals in the above : 174
% 0.22/0.48 % Current number of archived formulas : 0
% 0.22/0.48 % Current number of archived clauses : 67
% 0.22/0.48 % Clause-clause subsumption calls (NU) : 2195
% 0.22/0.48 % Rec. Clause-clause subsumption calls : 2030
% 0.22/0.48 % Non-unit clause-clause subsumptions : 0
% 0.22/0.48 % Unit Clause-clause subsumption calls : 8
% 0.22/0.48 % Rewrite failures with RHS unbound : 0
% 0.22/0.48 % BW rewrite match attempts : 0
% 0.22/0.48 % BW rewrite match successes : 0
% 0.22/0.48 % Condensation attempts : 0
% 0.22/0.48 % Condensation successes : 0
% 0.22/0.48 % Termbank termtop insertions : 4200
% 0.22/0.48 % Search garbage collected termcells : 222
% 0.22/0.48
% 0.22/0.48 % -------------------------------------------------
% 0.22/0.48 % User time : 0.012 s
% 0.22/0.48 % System time : 0.005 s
% 0.22/0.48 % Total time : 0.017 s
% 0.22/0.48 % Maximum resident set size: 3652 pages
% 0.22/0.48
% 0.22/0.48 % -------------------------------------------------
% 0.22/0.48 % User time : 0.046 s
% 0.22/0.48 % System time : 0.018 s
% 0.22/0.48 % Total time : 0.064 s
% 0.22/0.48 % Maximum resident set size: 4864 pages
% 0.22/0.48 % E exiting
%------------------------------------------------------------------------------