%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN602-1 : 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 : n019.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 2.69s 0.80s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 49 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_21,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f6(X1,X2),f6(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
cnf(p2_4,negated_conjecture,
p2(f3(c18),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_14,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(not_p15_26,negated_conjecture,
( ~ p2(f7(f8(c21,X1),c20),f6(f5(c18),c19))
| ~ p2(X1,f9(c20,X2))
| ~ p15(X1,c21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(p15_3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).
cnf(p2_16,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p2_5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f6(X1,X2),f6(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_21]) ).
cnf(c_0_9,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f6(X1,X2),f6(X3,X4)) ),
c_0_8 ).
cnf(c_0_10,negated_conjecture,
p2(f3(c18),c19),
p2_4 ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_14]) ).
cnf(c_0_12,negated_conjecture,
( ~ p2(f7(f8(c21,X1),c20),f6(f5(c18),c19))
| ~ p2(X1,f9(c20,X2))
| ~ p15(X1,c21) ),
inference(fof_simplification,[status(thm)],[not_p15_26]) ).
cnf(c_0_13,negated_conjecture,
( ~ p2(X1,X2)
| p2(f6(X1,f3(c18)),f6(X2,c19)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_15,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
( ~ p2(f7(f8(c21,X1),c20),f6(f5(c18),c19))
| ~ p2(X1,f9(c20,X2))
| ~ p15(X1,c21) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
p15(c22,c21),
p15_3 ).
cnf(c_0_18,negated_conjecture,
p2(f6(X1,f3(c18)),f6(X1,c19)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
p2_16 ).
cnf(c_0_21,negated_conjecture,
( ~ p2(c22,f9(c20,X1))
| ~ p2(f7(f8(c21,c22),c20),f6(f5(c18),c19)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
p2(c22,f9(c20,c23)),
p2_5 ).
cnf(c_0_23,negated_conjecture,
( ~ p2(f6(X2,f3(c18)),X1)
| p2(X1,f6(X2,c19)) ),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ p2(f7(f8(c21,c22),c20),f6(f5(c18),c19)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN602-1 : 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 : n019.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 11:10:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 2.69/0.80 % Version: 3.5.1
% 2.69/0.80 % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.69/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.69/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.69/0.80 % Starting new_bool_3 with 300s (1) cores
% 2.69/0.80 % Starting new_bool_1 with 300s (1) cores
% 2.69/0.80 % Starting sh5l with 300s (1) cores
% 2.69/0.80 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2417367 completed with status 0
% 2.69/0.80 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 2.69/0.80 % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.69/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.69/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.69/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.69/0.80 % No SInE strategy applied
% 2.69/0.80 % Search class: FHHNF-FFMM21-MFFFFFNN
% 2.69/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.69/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.69/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 2.69/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.69/0.80 % Starting new_bool_3 with 136s (1) cores
% 2.69/0.80 % Starting new_bool_1 with 136s (1) cores
% 2.69/0.80 % new_bool_3 with pid 2417376 completed with status 0
% 2.69/0.80 % Result found by new_bool_3
% 2.69/0.80 % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.69/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.69/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.69/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.69/0.80 % No SInE strategy applied
% 2.69/0.80 % Search class: FHHNF-FFMM21-MFFFFFNN
% 2.69/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.69/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.69/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 2.69/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.69/0.80 % Starting new_bool_3 with 136s (1) cores
% 2.69/0.80 % Preprocessing time : 0.002 s
% 2.69/0.80 % Presaturation interreduction done
% 2.69/0.80
% 2.69/0.80 % Proof found!
% 2.69/0.80 % SZS status Unsatisfiable
% 2.69/0.80 % SZS output start CNFRefutation
% See solution above
% 2.69/0.80 % Parsed axioms : 30
% 2.69/0.80 % Removed by relevancy pruning/SinE : 0
% 2.69/0.80 % Initial clauses : 30
% 2.69/0.80 % Removed in clause preprocessing : 0
% 2.69/0.80 % Initial clauses in saturation : 30
% 2.69/0.80 % Processed clauses : 1042
% 2.69/0.80 % ...of these trivial : 102
% 2.69/0.80 % ...subsumed : 0
% 2.69/0.80 % ...remaining for further processing : 940
% 2.69/0.80 % Other redundant clauses eliminated : 0
% 2.69/0.80 % Clauses deleted for lack of memory : 0
% 2.69/0.80 % Backward-subsumed : 11
% 2.69/0.80 % Backward-rewritten : 4
% 2.69/0.80 % Generated clauses : 27524
% 2.69/0.80 % ...of the previous two non-redundant : 26813
% 2.69/0.80 % ...aggressively subsumed : 0
% 2.69/0.80 % Contextual simplify-reflections : 0
% 2.69/0.80 % Paramodulations : 27524
% 2.69/0.80 % Factorizations : 0
% 2.69/0.80 % NegExts : 0
% 2.69/0.80 % Equation resolutions : 0
% 2.69/0.80 % Disequality decompositions : 0
% 2.69/0.80 % Total rewrite steps : 815
% 2.69/0.80 % ...of those cached : 284
% 2.69/0.80 % Propositional unsat checks : 0
% 2.69/0.80 % Propositional check models : 0
% 2.69/0.80 % Propositional check unsatisfiable : 0
% 2.69/0.80 % Propositional clauses : 0
% 2.69/0.80 % Propositional clauses after purity: 0
% 2.69/0.80 % Propositional unsat core size : 0
% 2.69/0.80 % Propositional preprocessing time : 0.000
% 2.69/0.80 % Propositional encoding time : 0.000
% 2.69/0.80 % Propositional solver time : 0.000
% 2.69/0.80 % Success case prop preproc time : 0.000
% 2.69/0.80 % Success case prop encoding time : 0.000
% 2.69/0.80 % Success case prop solver time : 0.000
% 2.69/0.80 % Current number of processed clauses : 895
% 2.69/0.80 % Positive orientable unit clauses : 268
% 2.69/0.80 % Positive unorientable unit clauses: 0
% 2.69/0.80 % Negative unit clauses : 2
% 2.69/0.80 % Non-unit-clauses : 625
% 2.69/0.80 % Current number of unprocessed clauses: 25831
% 2.69/0.80 % ...number of literals in the above : 26841
% 2.69/0.80 % Current number of archived formulas : 0
% 2.69/0.80 % Current number of archived clauses : 45
% 2.69/0.80 % Clause-clause subsumption calls (NU) : 13043
% 2.69/0.80 % Rec. Clause-clause subsumption calls : 11993
% 2.69/0.80 % Non-unit clause-clause subsumptions : 9
% 2.69/0.80 % Unit Clause-clause subsumption calls : 267
% 2.69/0.80 % Rewrite failures with RHS unbound : 0
% 2.69/0.80 % BW rewrite match attempts : 661
% 2.69/0.80 % BW rewrite match successes : 4
% 2.69/0.80 % Condensation attempts : 0
% 2.69/0.80 % Condensation successes : 0
% 2.69/0.80 % Termbank termtop insertions : 495610
% 2.69/0.80 % Search garbage collected termcells : 104
% 2.69/0.80
% 2.69/0.80 % -------------------------------------------------
% 2.69/0.80 % User time : 0.273 s
% 2.69/0.80 % System time : 0.035 s
% 2.69/0.80 % Total time : 0.308 s
% 2.69/0.80 % Maximum resident set size: 3668 pages
% 2.69/0.80
% 2.69/0.80 % -------------------------------------------------
% 2.69/0.80 % User time : 1.473 s
% 2.69/0.80 % System time : 0.135 s
% 2.69/0.80 % Total time : 1.608 s
% 2.69/0.80 % Maximum resident set size: 4608 pages
% 2.69/0.80 % E exiting
%------------------------------------------------------------------------------