%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN630-1 : 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 03:25:46 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 17 RR)
% Number of literals : 50 ( 0 equ; 29 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p22_19,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_19) ).
cnf(p4_34,negated_conjecture,
( ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p21(X6,f9(f10(f11(c29))))
| p4(f5(f7(X1,f8(X2,X3)),X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
cnf(p22_17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_17) ).
cnf(p3_30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
cnf(p21_5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_5) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(not_p4_12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_12) ).
cnf(p21_6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_6) ).
cnf(c_0_8,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
inference(fof_simplification,[status(thm)],[p22_19]) ).
cnf(c_0_9,negated_conjecture,
( ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p21(X6,f9(f10(f11(c29))))
| p4(f5(f7(X1,f8(X2,X3)),X4),X5) ),
inference(fof_simplification,[status(thm)],[p4_34]) ).
cnf(c_0_10,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
p22_17 ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X4,f13(f15(f17(f16(f9(f11(c29)))),X6),f13(f15(f16(f9(f10(f11(c29)))),X7),f14(f16(X5),f15(f16(f9(f10(f11(c29)))),X3)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),X5)
| ~ p21(X5,f12(f9(f10(f11(c29))),X2))
| ~ p21(X6,f9(f10(f11(c29))))
| p4(f5(f7(X1,f8(X2,X3)),X4),X5) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
p3_30 ).
cnf(c_0_14,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
p21_5 ).
cnf(c_0_15,negated_conjecture,
( ~ p4(c27,X2)
| ~ p4(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),X1)
| p22(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_17,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(fof_simplification,[status(thm)],[not_p4_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ p21(c27,f12(f9(f10(f11(c29))),X2))
| ~ p22(f12(f9(f10(f11(c29))),f18(X2,f9(f11(c29)))),c27)
| p4(f5(f7(X1,f8(X2,c25)),c26),c27) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_19,negated_conjecture,
( ~ p4(c27,X1)
| p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
p21_6 ).
cnf(c_0_21,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
p4(f5(f7(X1,f8(c24,c25)),c26),c27),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 11:11:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.17/0.47 % Version: 3.5.1
% 0.17/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 % Starting sh5l with 300s (1) cores
% 0.17/0.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2420574 completed with status 0
% 0.17/0.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.47 % No SInE strategy applied
% 0.17/0.47 % Search class: FGUNM-FFMS21-DFFFFFNN
% 0.17/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.48 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2420581 completed with status 0
% 0.17/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.48 % No SInE strategy applied
% 0.17/0.48 % Search class: FGUNM-FFMS21-DFFFFFNN
% 0.17/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.48 % Preprocessing time : 0.001 s
% 0.17/0.48 % Presaturation interreduction done
% 0.17/0.48
% 0.17/0.48 % Proof found!
% 0.17/0.48 % SZS status Unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation
% See solution above
% 0.17/0.48 % Parsed axioms : 36
% 0.17/0.48 % Removed by relevancy pruning/SinE : 0
% 0.17/0.48 % Initial clauses : 36
% 0.17/0.48 % Removed in clause preprocessing : 0
% 0.17/0.48 % Initial clauses in saturation : 36
% 0.17/0.48 % Processed clauses : 469
% 0.17/0.48 % ...of these trivial : 1
% 0.17/0.48 % ...subsumed : 171
% 0.17/0.48 % ...remaining for further processing : 297
% 0.17/0.48 % Other redundant clauses eliminated : 0
% 0.17/0.48 % Clauses deleted for lack of memory : 0
% 0.17/0.48 % Backward-subsumed : 2
% 0.17/0.48 % Backward-rewritten : 1
% 0.17/0.48 % Generated clauses : 2055
% 0.17/0.48 % ...of the previous two non-redundant : 1993
% 0.17/0.48 % ...aggressively subsumed : 0
% 0.17/0.48 % Contextual simplify-reflections : 0
% 0.17/0.48 % Paramodulations : 2055
% 0.17/0.48 % Factorizations : 0
% 0.17/0.48 % NegExts : 0
% 0.17/0.48 % Equation resolutions : 0
% 0.17/0.48 % Disequality decompositions : 0
% 0.17/0.48 % Total rewrite steps : 63
% 0.17/0.48 % ...of those cached : 45
% 0.17/0.48 % Propositional unsat checks : 0
% 0.17/0.48 % Propositional check models : 0
% 0.17/0.48 % Propositional check unsatisfiable : 0
% 0.17/0.48 % Propositional clauses : 0
% 0.17/0.48 % Propositional clauses after purity: 0
% 0.17/0.48 % Propositional unsat core size : 0
% 0.17/0.48 % Propositional preprocessing time : 0.000
% 0.17/0.48 % Propositional encoding time : 0.000
% 0.17/0.48 % Propositional solver time : 0.000
% 0.17/0.48 % Success case prop preproc time : 0.000
% 0.17/0.48 % Success case prop encoding time : 0.000
% 0.17/0.48 % Success case prop solver time : 0.000
% 0.17/0.48 % Current number of processed clauses : 258
% 0.17/0.48 % Positive orientable unit clauses : 14
% 0.17/0.48 % Positive unorientable unit clauses: 0
% 0.17/0.48 % Negative unit clauses : 1
% 0.17/0.48 % Non-unit-clauses : 243
% 0.17/0.48 % Current number of unprocessed clauses: 1596
% 0.17/0.48 % ...number of literals in the above : 5336
% 0.17/0.48 % Current number of archived formulas : 0
% 0.17/0.48 % Current number of archived clauses : 39
% 0.17/0.48 % Clause-clause subsumption calls (NU) : 10258
% 0.17/0.48 % Rec. Clause-clause subsumption calls : 7559
% 0.17/0.48 % Non-unit clause-clause subsumptions : 170
% 0.17/0.48 % Unit Clause-clause subsumption calls : 114
% 0.17/0.48 % Rewrite failures with RHS unbound : 0
% 0.17/0.48 % BW rewrite match attempts : 7
% 0.17/0.48 % BW rewrite match successes : 1
% 0.17/0.48 % Condensation attempts : 0
% 0.17/0.48 % Condensation successes : 0
% 0.17/0.48 % Termbank termtop insertions : 38447
% 0.17/0.48 % Search garbage collected termcells : 135
% 0.17/0.48
% 0.17/0.48 % -------------------------------------------------
% 0.17/0.48 % User time : 0.029 s
% 0.17/0.48 % System time : 0.005 s
% 0.17/0.48 % Total time : 0.034 s
% 0.17/0.48 % Maximum resident set size: 3684 pages
% 0.17/0.48
% 0.17/0.48 % -------------------------------------------------
% 0.17/0.48 % User time : 0.117 s
% 0.17/0.48 % System time : 0.019 s
% 0.17/0.48 % Total time : 0.136 s
% 0.17/0.48 % Maximum resident set size: 4864 pages
% 0.17/0.48 % E exiting
%------------------------------------------------------------------------------