%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 03:25:36 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 18 RR)
% Number of literals : 36 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_6,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_4,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_10,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_8,negated_conjecture,
( ~ p2(f3(X1,X3),f3(X2,X3))
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
cnf(c_0_7,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_6]) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_10,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
p2_12 ).
cnf(c_0_12,negated_conjecture,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
p2_4 ).
cnf(c_0_14,negated_conjecture,
( ~ p2(f3(c8,f3(f5(c7),f5(c9))),X1)
| p2(X1,f3(c6,f5(c7))) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
p2_10 ).
cnf(c_0_16,negated_conjecture,
( ~ p2(f3(X1,X3),f3(X2,X3))
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ p2(f3(X3,X2),X1)
| p2(X1,f3(X2,X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(c6,f5(c7))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
inference(fof_simplification,[status(thm)],[not_p2_3]) ).
cnf(c_0_20,negated_conjecture,
( ~ p2(f3(X1,X3),f3(X2,X3))
| p2(X1,X2) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
p2(f3(c6,f5(c7)),f3(f3(c8,f5(c9)),f5(c7))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
c_0_19 ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n019.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 11:08:04 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.24/0.59 % Version: 3.5.1
% 0.24/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.59 % Starting sh5l with 300s (1) cores
% 0.24/0.59 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2411742 completed with status 0
% 0.24/0.59 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.59 % No SInE strategy applied
% 0.24/0.59 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.24/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.59 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.24/0.59 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.59 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.59 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 2411748 completed with status 0
% 0.24/0.59 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.24/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.59 % No SInE strategy applied
% 0.24/0.59 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.24/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.59 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.24/0.59 % Preprocessing time : 0.004 s
% 0.24/0.59
% 0.24/0.59 % Proof found!
% 0.24/0.59 % SZS status Unsatisfiable
% 0.24/0.59 % SZS output start CNFRefutation
% See solution above
% 0.24/0.59 % Parsed axioms : 13
% 0.24/0.59 % Removed by relevancy pruning/SinE : 0
% 0.24/0.59 % Initial clauses : 13
% 0.24/0.59 % Removed in clause preprocessing : 0
% 0.24/0.59 % Initial clauses in saturation : 13
% 0.24/0.59 % Processed clauses : 31
% 0.24/0.59 % ...of these trivial : 0
% 0.24/0.59 % ...subsumed : 2
% 0.24/0.59 % ...remaining for further processing : 29
% 0.24/0.59 % Other redundant clauses eliminated : 0
% 0.24/0.59 % Clauses deleted for lack of memory : 0
% 0.24/0.59 % Backward-subsumed : 0
% 0.24/0.59 % Backward-rewritten : 0
% 0.24/0.59 % Generated clauses : 91
% 0.24/0.59 % ...of the previous two non-redundant : 68
% 0.24/0.59 % ...aggressively subsumed : 0
% 0.24/0.59 % Contextual simplify-reflections : 0
% 0.24/0.59 % Paramodulations : 91
% 0.24/0.59 % Factorizations : 0
% 0.24/0.59 % NegExts : 0
% 0.24/0.59 % Equation resolutions : 0
% 0.24/0.59 % Disequality decompositions : 0
% 0.24/0.59 % Total rewrite steps : 23
% 0.24/0.59 % ...of those cached : 11
% 0.24/0.59 % Propositional unsat checks : 0
% 0.24/0.59 % Propositional check models : 0
% 0.24/0.59 % Propositional check unsatisfiable : 0
% 0.24/0.59 % Propositional clauses : 0
% 0.24/0.59 % Propositional clauses after purity: 0
% 0.24/0.59 % Propositional unsat core size : 0
% 0.24/0.59 % Propositional preprocessing time : 0.000
% 0.24/0.59 % Propositional encoding time : 0.000
% 0.24/0.59 % Propositional solver time : 0.000
% 0.24/0.59 % Success case prop preproc time : 0.000
% 0.24/0.59 % Success case prop encoding time : 0.000
% 0.24/0.59 % Success case prop solver time : 0.000
% 0.24/0.59 % Current number of processed clauses : 29
% 0.24/0.59 % Positive orientable unit clauses : 12
% 0.24/0.59 % Positive unorientable unit clauses: 0
% 0.24/0.59 % Negative unit clauses : 1
% 0.24/0.59 % Non-unit-clauses : 16
% 0.24/0.59 % Current number of unprocessed clauses: 46
% 0.24/0.59 % ...number of literals in the above : 101
% 0.24/0.59 % Current number of archived formulas : 0
% 0.24/0.59 % Current number of archived clauses : 0
% 0.24/0.59 % Clause-clause subsumption calls (NU) : 43
% 0.24/0.59 % Rec. Clause-clause subsumption calls : 43
% 0.24/0.59 % Non-unit clause-clause subsumptions : 2
% 0.24/0.59 % Unit Clause-clause subsumption calls : 0
% 0.24/0.59 % Rewrite failures with RHS unbound : 0
% 0.24/0.59 % BW rewrite match attempts : 4
% 0.24/0.59 % BW rewrite match successes : 0
% 0.24/0.59 % Condensation attempts : 0
% 0.24/0.59 % Condensation successes : 0
% 0.24/0.59 % Termbank termtop insertions : 1528
% 0.24/0.59 % Search garbage collected termcells : 26
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.005 s
% 0.24/0.59 % System time : 0.006 s
% 0.24/0.59 % Total time : 0.011 s
% 0.24/0.59 % Maximum resident set size: 3640 pages
% 0.24/0.59
% 0.24/0.59 % -------------------------------------------------
% 0.24/0.59 % User time : 0.020 s
% 0.24/0.59 % System time : 0.015 s
% 0.24/0.59 % Total time : 0.035 s
% 0.24/0.59 % Maximum resident set size: 4864 pages
% 0.24/0.59 % E exiting
%------------------------------------------------------------------------------