%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN619-1 : 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 : n005.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 03:25:44 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 12 unt; 16 nHn; 30 RR)
% Number of literals : 71 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p18_27,negated_conjecture,
( ~ p18(X1,f6(c25))
| p17(f3(c21),f15(X1))
| p18(X1,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).
cnf(p18_33,negated_conjecture,
( ~ p18(X1,f6(c25))
| p8(X1,f9(f13(f14(X1),f15(X1)),f16(X1)))
| p18(X1,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
cnf(p18_24,negated_conjecture,
( ~ p18(X1,f6(c25))
| p2(f14(X1),c20)
| p18(X1,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_24) ).
cnf(p17_9,negated_conjecture,
( ~ p17(f3(X1),X2)
| p17(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_9) ).
cnf(p18_7,negated_conjecture,
p18(c24,f6(c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_7) ).
cnf(not_p2_32,negated_conjecture,
( ~ p8(c24,f9(f13(X1,X2),X3))
| ~ p17(c21,X2)
| ~ p2(X1,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_32) ).
cnf(p18_34,negated_conjecture,
( ~ p18(X1,f6(c19))
| p8(X1,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X1,f6(f7(c22,c23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
cnf(not_p18_8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_8) ).
cnf(p17_6,negated_conjecture,
p17(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_6) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(c_0_10,negated_conjecture,
( ~ p18(X1,f6(c25))
| p17(f3(c21),f15(X1))
| p18(X1,f6(c19)) ),
inference(fof_simplification,[status(thm)],[p18_27]) ).
cnf(c_0_11,negated_conjecture,
( ~ p18(X1,f6(c25))
| p8(X1,f9(f13(f14(X1),f15(X1)),f16(X1)))
| p18(X1,f6(c19)) ),
inference(fof_simplification,[status(thm)],[p18_33]) ).
cnf(c_0_12,negated_conjecture,
( ~ p18(X1,f6(c25))
| p2(f14(X1),c20)
| p18(X1,f6(c19)) ),
inference(fof_simplification,[status(thm)],[p18_24]) ).
cnf(c_0_13,negated_conjecture,
( ~ p17(f3(X1),X2)
| p17(X1,X2) ),
inference(fof_simplification,[status(thm)],[p17_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ p18(X1,f6(c25))
| p17(f3(c21),f15(X1))
| p18(X1,f6(c19)) ),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
p18(c24,f6(c25)),
p18_7 ).
cnf(c_0_16,negated_conjecture,
( ~ p8(c24,f9(f13(X1,X2),X3))
| ~ p17(c21,X2)
| ~ p2(X1,c20) ),
inference(fof_simplification,[status(thm)],[not_p2_32]) ).
cnf(c_0_17,negated_conjecture,
( ~ p18(X1,f6(c25))
| p8(X1,f9(f13(f14(X1),f15(X1)),f16(X1)))
| p18(X1,f6(c19)) ),
c_0_11 ).
cnf(c_0_18,negated_conjecture,
( ~ p18(X1,f6(c25))
| p2(f14(X1),c20)
| p18(X1,f6(c19)) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
( ~ p17(f3(X1),X2)
| p17(X1,X2) ),
c_0_13 ).
cnf(c_0_20,negated_conjecture,
( p17(f3(c21),f15(c24))
| p18(c24,f6(c19)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ p18(X1,f6(c19))
| p8(X1,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X1,f6(f7(c22,c23))) ),
inference(fof_simplification,[status(thm)],[p18_34]) ).
cnf(c_0_22,negated_conjecture,
( ~ p8(c24,f9(f13(X1,X2),X3))
| ~ p17(c21,X2)
| ~ p2(X1,c20) ),
c_0_16 ).
cnf(c_0_23,negated_conjecture,
( p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24)))
| p18(c24,f6(c19)) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( p2(f14(c24),c20)
| p18(c24,f6(c19)) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( p17(c21,f15(c24))
| p18(c24,f6(c19)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
inference(fof_simplification,[status(thm)],[not_p18_8]) ).
cnf(c_0_27,negated_conjecture,
( ~ p18(X1,f6(c19))
| p8(X1,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X1,f6(f7(c22,c23))) ),
c_0_21 ).
cnf(c_0_28,negated_conjecture,
p18(c24,f6(c19)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
c_0_26 ).
cnf(c_0_30,negated_conjecture,
p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_31,negated_conjecture,
p17(X1,X1),
p17_6 ).
cnf(c_0_32,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_30]),c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:10:03 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.43 % Version: 3.5.1
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43 % Starting sh5l with 300s (1) cores
% 0.13/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3319244 completed with status 0
% 0.13/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43 % No SInE strategy applied
% 0.13/0.43 % Search class: FGHNM-FFMF21-MFFFFFNN
% 0.13/0.43 % partial match(1): FGHNM-FFMF21-SFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.43 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 0.13/0.43 % Starting new_bool_3 with 211s (1) cores
% 0.13/0.43 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.13/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3319250 completed with status 0
% 0.13/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43 % No SInE strategy applied
% 0.13/0.43 % Search class: FGHNM-FFMF21-MFFFFFNN
% 0.13/0.43 % partial match(1): FGHNM-FFMF21-SFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.43 % Preprocessing time : 0.002 s
% 0.13/0.43 % Presaturation interreduction done
% 0.13/0.43
% 0.13/0.43 % Proof found!
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43 % Parsed axioms : 34
% 0.13/0.43 % Removed by relevancy pruning/SinE : 0
% 0.13/0.43 % Initial clauses : 34
% 0.13/0.43 % Removed in clause preprocessing : 0
% 0.13/0.43 % Initial clauses in saturation : 34
% 0.13/0.43 % Processed clauses : 93
% 0.13/0.43 % ...of these trivial : 0
% 0.13/0.43 % ...subsumed : 4
% 0.13/0.43 % ...remaining for further processing : 89
% 0.13/0.43 % Other redundant clauses eliminated : 0
% 0.13/0.43 % Clauses deleted for lack of memory : 0
% 0.13/0.43 % Backward-subsumed : 0
% 0.13/0.43 % Backward-rewritten : 7
% 0.13/0.43 % Generated clauses : 85
% 0.13/0.43 % ...of the previous two non-redundant : 74
% 0.13/0.43 % ...aggressively subsumed : 0
% 0.13/0.43 % Contextual simplify-reflections : 2
% 0.13/0.43 % Paramodulations : 85
% 0.13/0.43 % Factorizations : 0
% 0.13/0.43 % NegExts : 0
% 0.13/0.43 % Equation resolutions : 0
% 0.13/0.43 % Disequality decompositions : 0
% 0.13/0.43 % Total rewrite steps : 17
% 0.13/0.43 % ...of those cached : 9
% 0.13/0.43 % Propositional unsat checks : 0
% 0.13/0.43 % Propositional check models : 0
% 0.13/0.43 % Propositional check unsatisfiable : 0
% 0.13/0.43 % Propositional clauses : 0
% 0.13/0.43 % Propositional clauses after purity: 0
% 0.13/0.43 % Propositional unsat core size : 0
% 0.13/0.43 % Propositional preprocessing time : 0.000
% 0.13/0.43 % Propositional encoding time : 0.000
% 0.13/0.43 % Propositional solver time : 0.000
% 0.13/0.43 % Success case prop preproc time : 0.000
% 0.13/0.43 % Success case prop encoding time : 0.000
% 0.13/0.43 % Success case prop solver time : 0.000
% 0.13/0.43 % Current number of processed clauses : 49
% 0.13/0.43 % Positive orientable unit clauses : 16
% 0.13/0.43 % Positive unorientable unit clauses: 0
% 0.13/0.43 % Negative unit clauses : 1
% 0.13/0.43 % Non-unit-clauses : 32
% 0.13/0.43 % Current number of unprocessed clauses: 46
% 0.13/0.43 % ...number of literals in the above : 133
% 0.13/0.43 % Current number of archived formulas : 0
% 0.13/0.43 % Current number of archived clauses : 40
% 0.13/0.43 % Clause-clause subsumption calls (NU) : 149
% 0.13/0.43 % Rec. Clause-clause subsumption calls : 141
% 0.13/0.43 % Non-unit clause-clause subsumptions : 6
% 0.13/0.43 % Unit Clause-clause subsumption calls : 9
% 0.13/0.43 % Rewrite failures with RHS unbound : 0
% 0.13/0.43 % BW rewrite match attempts : 16
% 0.13/0.43 % BW rewrite match successes : 1
% 0.13/0.43 % Condensation attempts : 0
% 0.13/0.43 % Condensation successes : 0
% 0.13/0.43 % Termbank termtop insertions : 2459
% 0.13/0.43 % Search garbage collected termcells : 93
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.008 s
% 0.13/0.43 % System time : 0.004 s
% 0.13/0.43 % Total time : 0.011 s
% 0.13/0.43 % Maximum resident set size: 3668 pages
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.028 s
% 0.13/0.43 % System time : 0.016 s
% 0.13/0.43 % Total time : 0.044 s
% 0.13/0.43 % Maximum resident set size: 4864 pages
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------