%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN601-1 : 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 : n004.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 03:25:42 PM UTC 2026
% Result : Unsatisfiable 6.01s 1.33s
% Output : CNFRefutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 17 unt; 0 nHn; 24 RR)
% Number of literals : 73 ( 0 equ; 45 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p19_24,negated_conjecture,
( ~ p10(X4,X2)
| ~ p2(X3,X1)
| ~ p19(X3,X4)
| p19(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_24) ).
cnf(p19_22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).
cnf(p10_30,negated_conjecture,
( ~ p10(X3,X6)
| ~ p9(X2,X5)
| ~ p2(X1,X4)
| p10(f11(X1,X2,X3),f11(X4,X5,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).
cnf(p2_28,negated_conjecture,
( ~ p3(X1,X3)
| ~ p12(X2,X4)
| p2(f13(X1,X2),f13(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(not_p19_23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_23) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p12_27,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p12(f14(X1,X2),f14(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_27) ).
cnf(p3_7,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(c_0_11,negated_conjecture,
( ~ p10(X4,X2)
| ~ p2(X3,X1)
| ~ p19(X3,X4)
| p19(X1,X2) ),
inference(fof_simplification,[status(thm)],[p19_24]) ).
cnf(c_0_12,negated_conjecture,
( ~ p10(X4,X2)
| ~ p2(X3,X1)
| ~ p19(X3,X4)
| p19(X1,X2) ),
c_0_11 ).
cnf(c_0_13,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
p19_22 ).
cnf(c_0_14,negated_conjecture,
( ~ p10(X3,X6)
| ~ p9(X2,X5)
| ~ p2(X1,X4)
| p10(f11(X1,X2,X3),f11(X4,X5,X6)) ),
inference(fof_simplification,[status(thm)],[p10_30]) ).
cnf(c_0_15,negated_conjecture,
( ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),X2)
| ~ p2(c21,X1)
| p19(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ p10(X3,X6)
| ~ p9(X2,X5)
| ~ p2(X1,X4)
| p10(f11(X1,X2,X3),f11(X4,X5,X6)) ),
c_0_14 ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X1,X3)
| ~ p12(X2,X4)
| p2(f13(X1,X2),f13(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_28]) ).
cnf(c_0_18,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(fof_simplification,[status(thm)],[not_p19_23]) ).
cnf(c_0_19,negated_conjecture,
( ~ p10(c25,X4)
| ~ p9(c24,X3)
| ~ p2(c21,X1)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),X2)
| p19(X1,f11(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ p3(X1,X3)
| ~ p12(X2,X4)
| p2(f13(X1,X2),f13(X3,X4)) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
( ~ p10(c25,X5)
| ~ p9(c24,X4)
| ~ p3(f15(c21),X2)
| ~ p2(c21,X1)
| ~ p12(f14(f4(c21),c22),X3)
| p19(X1,f11(f13(X2,X3),X4,X5)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_24,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_25,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_26,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_27,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p12(f14(X1,X2),f14(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p12_27]) ).
cnf(c_0_28,negated_conjecture,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p12(f14(X1,X2),f14(X3,X4)) ),
c_0_27 ).
cnf(c_0_30,negated_conjecture,
p3(c22,c23),
p3_7 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:09:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.01/1.33 % Version: 3.5.1
% 6.01/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.33 % Starting new_bool_3 with 300s (1) cores
% 6.01/1.33 % Starting new_bool_1 with 300s (1) cores
% 6.01/1.33 % Starting sh5l with 300s (1) cores
% 6.01/1.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2992956 completed with status 0
% 6.01/1.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.01/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.01/1.33 % No SInE strategy applied
% 6.01/1.33 % Search class: FHUNM-FFMS31-MFFFFFNN
% 6.01/1.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.33 % Starting SubtermCWHack with 136s (1) cores
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.01/1.33 % Starting new_bool_3 with 136s (1) cores
% 6.01/1.33 % Starting new_bool_1 with 136s (1) cores
% 6.01/1.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2992961 completed with status 0
% 6.01/1.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.01/1.33 % Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.01/1.33 % No SInE strategy applied
% 6.01/1.33 % Search class: FHUNM-FFMS31-MFFFFFNN
% 6.01/1.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.33 % Starting SubtermCWHack with 136s (1) cores
% 6.01/1.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.01/1.33 % Preprocessing time : 0.002 s
% 6.01/1.33 % Presaturation interreduction done
% 6.01/1.33
% 6.01/1.33 % Proof found!
% 6.01/1.33 % SZS status Unsatisfiable
% 6.01/1.33 % SZS output start CNFRefutation
% See solution above
% 6.01/1.33 % Parsed axioms : 30
% 6.01/1.33 % Removed by relevancy pruning/SinE : 0
% 6.01/1.33 % Initial clauses : 30
% 6.01/1.33 % Removed in clause preprocessing : 0
% 6.01/1.33 % Initial clauses in saturation : 30
% 6.01/1.33 % Processed clauses : 5651
% 6.01/1.33 % ...of these trivial : 3
% 6.01/1.33 % ...subsumed : 3807
% 6.01/1.33 % ...remaining for further processing : 1841
% 6.01/1.33 % Other redundant clauses eliminated : 0
% 6.01/1.33 % Clauses deleted for lack of memory : 0
% 6.01/1.33 % Backward-subsumed : 88
% 6.01/1.33 % Backward-rewritten : 7
% 6.01/1.33 % Generated clauses : 90279
% 6.01/1.33 % ...of the previous two non-redundant : 84350
% 6.01/1.33 % ...aggressively subsumed : 0
% 6.01/1.33 % Contextual simplify-reflections : 4
% 6.01/1.33 % Paramodulations : 90279
% 6.01/1.33 % Factorizations : 0
% 6.01/1.33 % NegExts : 0
% 6.01/1.33 % Equation resolutions : 0
% 6.01/1.33 % Disequality decompositions : 0
% 6.01/1.33 % Total rewrite steps : 17699
% 6.01/1.33 % ...of those cached : 17639
% 6.01/1.33 % Propositional unsat checks : 0
% 6.01/1.33 % Propositional check models : 0
% 6.01/1.33 % Propositional check unsatisfiable : 0
% 6.01/1.33 % Propositional clauses : 0
% 6.01/1.33 % Propositional clauses after purity: 0
% 6.01/1.33 % Propositional unsat core size : 0
% 6.01/1.33 % Propositional preprocessing time : 0.000
% 6.01/1.33 % Propositional encoding time : 0.000
% 6.01/1.33 % Propositional solver time : 0.000
% 6.01/1.33 % Success case prop preproc time : 0.000
% 6.01/1.33 % Success case prop encoding time : 0.000
% 6.01/1.33 % Success case prop solver time : 0.000
% 6.01/1.33 % Current number of processed clauses : 1716
% 6.01/1.33 % Positive orientable unit clauses : 25
% 6.01/1.33 % Positive unorientable unit clauses: 0
% 6.01/1.33 % Negative unit clauses : 3
% 6.01/1.33 % Non-unit-clauses : 1688
% 6.01/1.33 % Current number of unprocessed clauses: 78608
% 6.01/1.33 % ...number of literals in the above : 262820
% 6.01/1.33 % Current number of archived formulas : 0
% 6.01/1.33 % Current number of archived clauses : 125
% 6.01/1.33 % Clause-clause subsumption calls (NU) : 488739
% 6.01/1.33 % Rec. Clause-clause subsumption calls : 424494
% 6.01/1.33 % Non-unit clause-clause subsumptions : 3899
% 6.01/1.33 % Unit Clause-clause subsumption calls : 1002
% 6.01/1.33 % Rewrite failures with RHS unbound : 0
% 6.01/1.33 % BW rewrite match attempts : 83
% 6.01/1.33 % BW rewrite match successes : 7
% 6.01/1.33 % Condensation attempts : 0
% 6.01/1.33 % Condensation successes : 0
% 6.01/1.33 % Termbank termtop insertions : 1311799
% 6.01/1.33 % Search garbage collected termcells : 81
% 6.01/1.33
% 6.01/1.33 % -------------------------------------------------
% 6.01/1.33 % User time : 0.707 s
% 6.01/1.33 % System time : 0.037 s
% 6.01/1.33 % Total time : 0.744 s
% 6.01/1.33 % Maximum resident set size: 3664 pages
% 6.01/1.33
% 6.01/1.33 % -------------------------------------------------
% 6.01/1.33 % User time : 3.932 s
% 6.01/1.33 % System time : 0.288 s
% 6.01/1.33 % Total time : 4.219 s
% 6.01/1.33 % Maximum resident set size: 4608 pages
% 6.01/1.33 % E exiting
%------------------------------------------------------------------------------