%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN708-1 : 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 : n002.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 6.78s 1.54s
% Output : CNFRefutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 18 unt; 0 nHn; 41 RR)
% Number of literals : 87 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_37,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_37) ).
cnf(p10_3,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_3) ).
cnf(p38_19,negated_conjecture,
( ~ p10(X2,X1)
| ~ p38(X2)
| p38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_19) ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_66) ).
cnf(p39_54,negated_conjecture,
( ~ p37(X1,X2)
| ~ p38(X1)
| ~ p38(X2)
| p39(f19(X1),f19(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_54) ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11_is_p38_64) ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_13) ).
cnf(p38_15,negated_conjecture,
( ~ p38(X1)
| p38(f15(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_15) ).
cnf(p39_52,negated_conjecture,
( ~ p16(X4,X1)
| ~ p39(X4,X3)
| ~ p16(X3,X2)
| p39(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_52) ).
cnf(c56_is_p38_1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_p38_1) ).
cnf(p16_32,negated_conjecture,
( ~ p10(X1,X2)
| p16(f19(X1),f19(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).
cnf(p16_36,negated_conjecture,
( ~ p38(X1)
| p16(f19(f15(X1)),f28(f19(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).
cnf(not_p39_69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_69) ).
cnf(c_0_13,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_37]) ).
cnf(c_0_14,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
c_0_13 ).
cnf(c_0_15,negated_conjecture,
p10(X1,X1),
p10_3 ).
cnf(c_0_16,negated_conjecture,
( ~ p10(X2,X1)
| ~ p38(X2)
| p38(X1) ),
inference(fof_simplification,[status(thm)],[p38_19]) ).
cnf(c_0_17,negated_conjecture,
( ~ p10(X2,X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
p10_66 ).
cnf(c_0_19,negated_conjecture,
( ~ p37(X1,X2)
| ~ p38(X1)
| ~ p38(X2)
| p39(f19(X1),f19(X2)) ),
inference(fof_simplification,[status(thm)],[p39_54]) ).
cnf(c_0_20,negated_conjecture,
( ~ p10(X2,X1)
| ~ p38(X2)
| p38(X1) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
f11_is_p38_64 ).
cnf(c_0_23,negated_conjecture,
( ~ p37(X1,X2)
| ~ p38(X1)
| ~ p38(X2)
| p39(f19(X1),f19(X2)) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
p37(f15(c56),c48),
p37_13 ).
cnf(c_0_25,negated_conjecture,
p38(c48),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
( ~ p38(X1)
| p38(f15(X1)) ),
inference(fof_simplification,[status(thm)],[p38_15]) ).
cnf(c_0_27,negated_conjecture,
( ~ p16(X4,X1)
| ~ p39(X4,X3)
| ~ p16(X3,X2)
| p39(X1,X2) ),
inference(fof_simplification,[status(thm)],[p39_52]) ).
cnf(c_0_28,negated_conjecture,
( ~ p38(f15(c56))
| p39(f19(f15(c56)),f19(c48)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
( ~ p38(X1)
| p38(f15(X1)) ),
c_0_26 ).
cnf(c_0_30,negated_conjecture,
p38(c56),
c56_is_p38_1 ).
cnf(c_0_31,negated_conjecture,
( ~ p10(X1,X2)
| p16(f19(X1),f19(X2)) ),
inference(fof_simplification,[status(thm)],[p16_32]) ).
cnf(c_0_32,negated_conjecture,
( ~ p16(X4,X1)
| ~ p39(X4,X3)
| ~ p16(X3,X2)
| p39(X1,X2) ),
c_0_27 ).
cnf(c_0_33,negated_conjecture,
p39(f19(f15(c56)),f19(c48)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
( ~ p10(X1,X2)
| p16(f19(X1),f19(X2)) ),
c_0_31 ).
cnf(c_0_35,negated_conjecture,
( ~ p16(f19(c48),X2)
| ~ p16(f19(f15(c56)),X1)
| p39(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_37,negated_conjecture,
( ~ p38(X1)
| p16(f19(f15(X1)),f28(f19(X1))) ),
inference(fof_simplification,[status(thm)],[p16_36]) ).
cnf(c_0_38,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(fof_simplification,[status(thm)],[not_p39_69]) ).
cnf(c_0_39,negated_conjecture,
( ~ p16(f19(f15(c56)),X1)
| p39(X1,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( ~ p38(X1)
| p16(f19(f15(X1)),f28(f19(X1))) ),
c_0_37 ).
cnf(c_0_41,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
c_0_38 ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30])]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 11:15:33 UTC 2026
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 6.78/1.54 % Version: 3.5.1
% 6.78/1.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.78/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.78/1.54 % Starting new_bool_3 with 300s (1) cores
% 6.78/1.54 % Starting new_bool_1 with 300s (1) cores
% 6.78/1.54 % Starting sh5l with 300s (1) cores
% 6.78/1.54 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3157336 completed with status 0
% 6.78/1.54 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.78/1.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.78/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.78/1.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.78/1.54 % No SInE strategy applied
% 6.78/1.54 % Search class: FHUNM-FFMM21-DFFFFFNN
% 6.78/1.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.78/1.54 % Starting SubtermCWHack with 136s (1) cores
% 6.78/1.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.78/1.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.78/1.54 % Starting new_bool_3 with 136s (1) cores
% 6.78/1.54 % Starting new_bool_1 with 136s (1) cores
% 6.78/1.54 % new_bool_3 with pid 3157345 completed with status 0
% 6.78/1.54 % Result found by new_bool_3
% 6.78/1.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.78/1.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.78/1.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.78/1.54 % No SInE strategy applied
% 6.78/1.54 % Search class: FHUNM-FFMM21-DFFFFFNN
% 6.78/1.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.78/1.54 % Starting SubtermCWHack with 136s (1) cores
% 6.78/1.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.78/1.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 6.78/1.54 % Starting new_bool_3 with 136s (1) cores
% 6.78/1.54 % Preprocessing time : 0.001 s
% 6.78/1.54 % Presaturation interreduction done
% 6.78/1.54
% 6.78/1.54 % Proof found!
% 6.78/1.54 % SZS status Unsatisfiable
% 6.78/1.54 % SZS output start CNFRefutation
% See solution above
% 6.78/1.54 % Parsed axioms : 83
% 6.78/1.54 % Removed by relevancy pruning/SinE : 0
% 6.78/1.54 % Initial clauses : 83
% 6.78/1.54 % Removed in clause preprocessing : 0
% 6.78/1.54 % Initial clauses in saturation : 83
% 6.78/1.54 % Processed clauses : 1887
% 6.78/1.54 % ...of these trivial : 354
% 6.78/1.54 % ...subsumed : 110
% 6.78/1.54 % ...remaining for further processing : 1423
% 6.78/1.54 % Other redundant clauses eliminated : 0
% 6.78/1.54 % Clauses deleted for lack of memory : 0
% 6.78/1.54 % Backward-subsumed : 0
% 6.78/1.54 % Backward-rewritten : 41
% 6.78/1.54 % Generated clauses : 69474
% 6.78/1.54 % ...of the previous two non-redundant : 67611
% 6.78/1.54 % ...aggressively subsumed : 0
% 6.78/1.54 % Contextual simplify-reflections : 13
% 6.78/1.54 % Paramodulations : 69474
% 6.78/1.54 % Factorizations : 0
% 6.78/1.54 % NegExts : 0
% 6.78/1.54 % Equation resolutions : 0
% 6.78/1.54 % Disequality decompositions : 0
% 6.78/1.54 % Total rewrite steps : 3034
% 6.78/1.54 % ...of those cached : 2432
% 6.78/1.54 % Propositional unsat checks : 0
% 6.78/1.54 % Propositional check models : 0
% 6.78/1.54 % Propositional check unsatisfiable : 0
% 6.78/1.54 % Propositional clauses : 0
% 6.78/1.54 % Propositional clauses after purity: 0
% 6.78/1.54 % Propositional unsat core size : 0
% 6.78/1.54 % Propositional preprocessing time : 0.000
% 6.78/1.54 % Propositional encoding time : 0.000
% 6.78/1.54 % Propositional solver time : 0.000
% 6.78/1.54 % Success case prop preproc time : 0.000
% 6.78/1.54 % Success case prop encoding time : 0.000
% 6.78/1.54 % Success case prop solver time : 0.000
% 6.78/1.54 % Current number of processed clauses : 1299
% 6.78/1.54 % Positive orientable unit clauses : 483
% 6.78/1.54 % Positive unorientable unit clauses: 0
% 6.78/1.54 % Negative unit clauses : 5
% 6.78/1.54 % Non-unit-clauses : 811
% 6.78/1.54 % Current number of unprocessed clauses: 65868
% 6.78/1.54 % ...number of literals in the above : 116015
% 6.78/1.54 % Current number of archived formulas : 0
% 6.78/1.54 % Current number of archived clauses : 124
% 6.78/1.54 % Clause-clause subsumption calls (NU) : 71696
% 6.78/1.54 % Rec. Clause-clause subsumption calls : 65115
% 6.78/1.54 % Non-unit clause-clause subsumptions : 123
% 6.78/1.54 % Unit Clause-clause subsumption calls : 6297
% 6.78/1.54 % Rewrite failures with RHS unbound : 0
% 6.78/1.54 % BW rewrite match attempts : 2656
% 6.78/1.54 % BW rewrite match successes : 38
% 6.78/1.54 % Condensation attempts : 0
% 6.78/1.54 % Condensation successes : 0
% 6.78/1.54 % Termbank termtop insertions : 2147621
% 6.78/1.54 % Search garbage collected termcells : 171
% 6.78/1.54
% 6.78/1.54 % -------------------------------------------------
% 6.78/1.54 % User time : 0.886 s
% 6.78/1.54 % System time : 0.056 s
% 6.78/1.54 % Total time : 0.941 s
% 6.78/1.54 % Maximum resident set size: 3760 pages
% 6.78/1.54
% 6.78/1.54 % -------------------------------------------------
% 6.78/1.54 % User time : 4.256 s
% 6.78/1.54 % System time : 0.195 s
% 6.78/1.54 % Total time : 4.451 s
% 6.78/1.54 % Maximum resident set size: 4608 pages
% 6.78/1.54 % E exiting
%------------------------------------------------------------------------------