%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN625-1 : 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 : n015.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 03:25:45 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 11 unt; 11 nHn; 31 RR)
% Number of literals : 68 ( 0 equ; 35 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 74 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f4_is_not_p15_8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
cnf(not_p15_10,negated_conjecture,
( ~ p18(f9(X1),X2,X2)
| ~ p15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_10) ).
cnf(p16_32,negated_conjecture,
( ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4)
| p18(f9(X1),X2,X4)
| p16(f9(X1),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
cnf(p15_15,negated_conjecture,
( p18(f9(X1),f14(X1),f14(X1))
| p15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
cnf(c21_is_p15_1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p15_1) ).
cnf(not_p17_16,negated_conjecture,
( ~ p16(f9(c21),X1,c19)
| ~ p17(X1,f11(c20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_16) ).
cnf(p18_33,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| p18(f9(X1),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
cnf(p16_23,negated_conjecture,
( ~ p16(X1,X4,X3)
| ~ p16(X1,X2,X4)
| p16(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
cnf(p18_34,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| p18(f9(X1),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
cnf(c_0_9,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
inference(fof_simplification,[status(thm)],[f4_is_not_p15_8]) ).
cnf(c_0_10,negated_conjecture,
( ~ p18(f9(X1),X2,X2)
| ~ p15(X1) ),
inference(fof_simplification,[status(thm)],[not_p15_10]) ).
cnf(c_0_11,negated_conjecture,
( ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4)
| p18(f9(X1),X2,X4)
| p16(f9(X1),X2,X3) ),
inference(fof_simplification,[status(thm)],[p16_32]) ).
cnf(c_0_12,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
( p18(f9(X1),f14(X1),f14(X1))
| p15(X1) ),
p15_15 ).
cnf(c_0_14,negated_conjecture,
( ~ p18(f9(X1),X2,X2)
| ~ p15(X1) ),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
p15(c21),
c21_is_p15_1 ).
cnf(c_0_16,negated_conjecture,
( ~ p16(f9(c21),X1,c19)
| ~ p17(X1,f11(c20)) ),
inference(fof_simplification,[status(thm)],[not_p17_16]) ).
cnf(c_0_17,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| p18(f9(X1),X2,X3) ),
inference(fof_simplification,[status(thm)],[p18_33]) ).
cnf(c_0_18,negated_conjecture,
( ~ p16(X1,X4,X3)
| ~ p16(X1,X2,X4)
| p16(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[p16_23]) ).
cnf(c_0_19,negated_conjecture,
( ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4)
| p18(f9(X1),X2,X4)
| p16(f9(X1),X2,X3) ),
c_0_11 ).
cnf(c_0_20,negated_conjecture,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
~ p18(f9(c21),X1,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| p18(f9(X1),X2,X3) ),
inference(fof_simplification,[status(thm)],[p18_34]) ).
cnf(c_0_23,negated_conjecture,
( ~ p16(f9(c21),X1,c19)
| ~ p17(X1,f11(c20)) ),
c_0_16 ).
cnf(c_0_24,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| p18(f9(X1),X2,X3) ),
c_0_17 ).
cnf(c_0_25,negated_conjecture,
( ~ p16(X1,X4,X3)
| ~ p16(X1,X2,X4)
| p16(X1,X2,X3) ),
c_0_18 ).
cnf(c_0_26,negated_conjecture,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| p18(f9(X1),X2,X3) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
( ~ p16(f9(c21),f12(X1,X4,c20,X2,X3),c19)
| ~ p18(f9(f4(f7(X4,c20),X1)),X2,X3)
| p18(f9(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( ~ p16(f9(c21),X1,f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),X1,c19) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21]) ).
cnf(c_0_31,negated_conjecture,
~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21]) ).
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 : SYN625-1 : 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 : n015.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 11:13:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1327987 completed with status 0
% 0.15/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGHNM-FFMF32-MFFFFFNN
% 0.15/0.44 % partial match(1): FGHSM-FFMF32-MFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S033I with 136s (1) cores
% 0.15/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.44 % G-E--_208_C18_F1_SE_CS_SP_PS_S033I with pid 1327995 completed with status 0
% 0.15/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S033I
% 0.15/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.44 % No SInE strategy applied
% 0.15/0.44 % Search class: FGHNM-FFMF32-MFFFFFNN
% 0.15/0.44 % partial match(1): FGHSM-FFMF32-MFFFFFNN
% 0.15/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S033I with 136s (1) cores
% 0.15/0.44 % Preprocessing time : 0.002 s
% 0.15/0.44 % Presaturation interreduction done
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 35
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 35
% 0.15/0.44 % Removed in clause preprocessing : 0
% 0.15/0.44 % Initial clauses in saturation : 35
% 0.15/0.44 % Processed clauses : 102
% 0.15/0.44 % ...of these trivial : 0
% 0.15/0.44 % ...subsumed : 6
% 0.15/0.44 % ...remaining for further processing : 96
% 0.15/0.44 % Other redundant clauses eliminated : 0
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 0
% 0.15/0.44 % Backward-rewritten : 0
% 0.15/0.44 % Generated clauses : 74
% 0.15/0.44 % ...of the previous two non-redundant : 64
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 74
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 0
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 8
% 0.15/0.44 % ...of those cached : 0
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 61
% 0.15/0.44 % Positive orientable unit clauses : 10
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 5
% 0.15/0.44 % Non-unit-clauses : 46
% 0.15/0.44 % Current number of unprocessed clauses: 31
% 0.15/0.44 % ...number of literals in the above : 118
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 35
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 419
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 259
% 0.15/0.44 % Non-unit clause-clause subsumptions : 6
% 0.15/0.44 % Unit Clause-clause subsumption calls : 2
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 1
% 0.15/0.44 % BW rewrite match successes : 0
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 2727
% 0.15/0.44 % Search garbage collected termcells : 139
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.010 s
% 0.15/0.44 % System time : 0.003 s
% 0.15/0.44 % Total time : 0.012 s
% 0.15/0.44 % Maximum resident set size: 3672 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.034 s
% 0.15/0.44 % System time : 0.013 s
% 0.15/0.44 % Total time : 0.047 s
% 0.15/0.44 % Maximum resident set size: 4608 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------