%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN618-1 : 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 : n014.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 0.25s 0.54s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 21 unt; 0 nHn; 27 RR)
% Number of literals : 61 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_30,negated_conjecture,
( ~ p5(X2,X4)
| ~ p2(X1,X3)
| p5(f8(X1,X2),f8(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
cnf(p5_22,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_22) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
cnf(p5_31,negated_conjecture,
( ~ p5(f8(c17,X1),f6(f7(c22)))
| ~ p13(c19,X1)
| ~ p13(X1,c21)
| p5(X1,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_31) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_8) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_17) ).
cnf(c_0_10,negated_conjecture,
( ~ p5(X2,X4)
| ~ p2(X1,X3)
| p5(f8(X1,X2),f8(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p5_30]) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
inference(fof_simplification,[status(thm)],[p5_22]) ).
cnf(c_0_12,negated_conjecture,
( ~ p5(X2,X4)
| ~ p2(X1,X3)
| p5(f8(X1,X2),f8(X3,X4)) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
p2(c17,f3(c16)),
p2_12 ).
cnf(c_0_14,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
p5(X1,X1),
p5_3 ).
cnf(c_0_16,negated_conjecture,
( ~ p5(X1,X2)
| p5(f8(c17,X1),f8(f3(c16),X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(f8(c17,X1),f6(f7(c22)))
| ~ p13(c19,X1)
| ~ p13(X1,c21)
| p5(X1,c20) ),
inference(fof_simplification,[status(thm)],[p5_31]) ).
cnf(c_0_18,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
p5_16 ).
cnf(c_0_19,negated_conjecture,
( ~ p5(X2,X1)
| p5(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p5(f8(c17,X1),f8(f3(c16),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ p5(f8(c17,X1),f6(f7(c22)))
| ~ p13(c19,X1)
| ~ p13(X1,c21)
| p5(X1,c20) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
p13(c23,c21),
p13_8 ).
cnf(c_0_23,negated_conjecture,
p13(c19,c23),
p13_9 ).
cnf(c_0_24,negated_conjecture,
( ~ p5(f8(f3(c16),c23),X1)
| p5(X1,f6(f7(c22))) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p5(f8(f3(c16),X1),f8(c17,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_27,negated_conjecture,
( ~ p5(f8(c17,c23),f6(f7(c22)))
| p5(c23,c20) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
p5(f8(c17,c23),f6(f7(c22))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ p5(X2,X3)
| p5(f8(X1,X2),f8(X1,X3)) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p5(c23,c20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
cnf(c_0_31,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(fof_simplification,[status(thm)],[not_p5_17]) ).
cnf(c_0_32,negated_conjecture,
p5(f8(X1,c23),f8(X1,c20)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
c_0_31 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n014.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 11:10:05 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.25/0.54 % Version: 3.5.1
% 0.25/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.54 % Starting sh5l with 300s (1) cores
% 0.25/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3918778 completed with status 0
% 0.25/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.25/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FHUNM-FFMM21-SFFFFFNN
% 0.25/0.54 % partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3918783 completed with status 0
% 0.25/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.25/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FHUNM-FFMM21-SFFFFFNN
% 0.25/0.54 % partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.25/0.54 % Preprocessing time : 0.002 s
% 0.25/0.54 % Presaturation interreduction done
% 0.25/0.54
% 0.25/0.54 % Proof found!
% 0.25/0.54 % SZS status Unsatisfiable
% 0.25/0.54 % SZS output start CNFRefutation
% See solution above
% 0.25/0.54 % Parsed axioms : 33
% 0.25/0.54 % Removed by relevancy pruning/SinE : 0
% 0.25/0.54 % Initial clauses : 33
% 0.25/0.54 % Removed in clause preprocessing : 0
% 0.25/0.54 % Initial clauses in saturation : 33
% 0.25/0.54 % Processed clauses : 166
% 0.25/0.54 % ...of these trivial : 4
% 0.25/0.54 % ...subsumed : 0
% 0.25/0.54 % ...remaining for further processing : 162
% 0.25/0.54 % Other redundant clauses eliminated : 0
% 0.25/0.54 % Clauses deleted for lack of memory : 0
% 0.25/0.54 % Backward-subsumed : 0
% 0.25/0.54 % Backward-rewritten : 2
% 0.25/0.54 % Generated clauses : 326
% 0.25/0.54 % ...of the previous two non-redundant : 267
% 0.25/0.54 % ...aggressively subsumed : 0
% 0.25/0.54 % Contextual simplify-reflections : 0
% 0.25/0.54 % Paramodulations : 326
% 0.25/0.54 % Factorizations : 0
% 0.25/0.54 % NegExts : 0
% 0.25/0.54 % Equation resolutions : 0
% 0.25/0.54 % Disequality decompositions : 0
% 0.25/0.54 % Total rewrite steps : 64
% 0.25/0.54 % ...of those cached : 18
% 0.25/0.54 % Propositional unsat checks : 0
% 0.25/0.54 % Propositional check models : 0
% 0.25/0.54 % Propositional check unsatisfiable : 0
% 0.25/0.54 % Propositional clauses : 0
% 0.25/0.54 % Propositional clauses after purity: 0
% 0.25/0.54 % Propositional unsat core size : 0
% 0.25/0.54 % Propositional preprocessing time : 0.000
% 0.25/0.54 % Propositional encoding time : 0.000
% 0.25/0.54 % Propositional solver time : 0.000
% 0.25/0.54 % Success case prop preproc time : 0.000
% 0.25/0.54 % Success case prop encoding time : 0.000
% 0.25/0.54 % Success case prop solver time : 0.000
% 0.25/0.54 % Current number of processed clauses : 127
% 0.25/0.54 % Positive orientable unit clauses : 52
% 0.25/0.54 % Positive unorientable unit clauses: 0
% 0.25/0.54 % Negative unit clauses : 1
% 0.25/0.54 % Non-unit-clauses : 74
% 0.25/0.54 % Current number of unprocessed clauses: 159
% 0.25/0.54 % ...number of literals in the above : 314
% 0.25/0.54 % Current number of archived formulas : 0
% 0.25/0.54 % Current number of archived clauses : 35
% 0.25/0.54 % Clause-clause subsumption calls (NU) : 426
% 0.25/0.54 % Rec. Clause-clause subsumption calls : 350
% 0.25/0.54 % Non-unit clause-clause subsumptions : 0
% 0.25/0.54 % Unit Clause-clause subsumption calls : 163
% 0.25/0.54 % Rewrite failures with RHS unbound : 0
% 0.25/0.54 % BW rewrite match attempts : 26
% 0.25/0.54 % BW rewrite match successes : 2
% 0.25/0.54 % Condensation attempts : 0
% 0.25/0.54 % Condensation successes : 0
% 0.25/0.54 % Termbank termtop insertions : 5631
% 0.25/0.54 % Search garbage collected termcells : 95
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.017 s
% 0.25/0.54 % System time : 0.008 s
% 0.25/0.54 % Total time : 0.025 s
% 0.25/0.54 % Maximum resident set size: 3660 pages
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.078 s
% 0.25/0.54 % System time : 0.022 s
% 0.25/0.54 % Total time : 0.100 s
% 0.25/0.54 % Maximum resident set size: 4608 pages
% 0.25/0.54 % E exiting
%------------------------------------------------------------------------------