%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN565-1 : 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 : n002.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 03:25:37 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 41 ( 21 unt; 0 nHn; 23 RR)
% Number of literals : 74 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_6,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
cnf(p4_5,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p10_13,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).
cnf(p10_14,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
cnf(p10_10,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).
cnf(p4_4,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
inference(fof_simplification,[status(thm)],[p2_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
p2_3 ).
cnf(c_0_15,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
p4_5 ).
cnf(c_0_17,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[p10_13]) ).
cnf(c_0_18,negated_conjecture,
( ~ p2(f5(f7(X2)),X1)
| p2(X1,f5(X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p2(f5(f7(f8(X1,X2))),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_14]) ).
cnf(c_0_21,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
p10_10 ).
cnf(c_0_23,negated_conjecture,
p2(f5(f8(X1,X2)),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
p4_4 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_17]) ).
cnf(c_0_26,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
c_0_20 ).
cnf(c_0_27,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f6(X1,X2))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( ~ p2(f5(f8(X3,X2)),X1)
| p2(X1,f5(f8(X2,X3))) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p2(f5(f8(X1,X2)),f5(f6(X1,f7(X2)))),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
c_0_25 ).
cnf(c_0_31,negated_conjecture,
( ~ p2(f5(f6(X3,X4)),X2)
| ~ p2(f9(f5(X3),f5(X4)),X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
p2(f5(f6(X1,f7(X2))),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(X1,X3)
| p2(f9(X1,f5(f7(X2))),f9(X3,f5(X2))) ),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_34,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_35,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
inference(fof_simplification,[status(thm)],[not_p10_11]) ).
cnf(c_0_36,negated_conjecture,
( ~ p2(f9(f5(X3),f5(f7(X2))),X1)
| p10(X1,f5(f8(X2,X3))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
p2(f9(X1,f5(f7(X2))),f9(X1,f5(X2))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
c_0_35 ).
cnf(c_0_39,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:11:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.48 % Version: 3.5.1
% 0.11/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.48 % Starting sh5l with 300s (1) cores
% 0.11/0.48 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3144398 completed with status 0
% 0.11/0.48 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.48 % No SInE strategy applied
% 0.11/0.48 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.11/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.48 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.11/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.48 % new_bool_3 with pid 3144408 completed with status 0
% 0.11/0.48 % Result found by new_bool_3
% 0.11/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.48 % No SInE strategy applied
% 0.11/0.48 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.11/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.48 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.11/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.48 % Preprocessing time : 0.001 s
% 0.11/0.48 % Presaturation interreduction done
% 0.11/0.48
% 0.11/0.48 % Proof found!
% 0.11/0.48 % SZS status Unsatisfiable
% 0.11/0.48 % SZS output start CNFRefutation
% See solution above
% 0.11/0.48 % Parsed axioms : 18
% 0.11/0.48 % Removed by relevancy pruning/SinE : 0
% 0.11/0.48 % Initial clauses : 18
% 0.11/0.48 % Removed in clause preprocessing : 0
% 0.11/0.48 % Initial clauses in saturation : 18
% 0.11/0.48 % Processed clauses : 315
% 0.11/0.48 % ...of these trivial : 89
% 0.11/0.48 % ...subsumed : 0
% 0.11/0.48 % ...remaining for further processing : 226
% 0.11/0.48 % Other redundant clauses eliminated : 0
% 0.11/0.48 % Clauses deleted for lack of memory : 0
% 0.11/0.48 % Backward-subsumed : 0
% 0.11/0.48 % Backward-rewritten : 1
% 0.11/0.48 % Generated clauses : 3006
% 0.11/0.48 % ...of the previous two non-redundant : 2456
% 0.11/0.48 % ...aggressively subsumed : 0
% 0.11/0.48 % Contextual simplify-reflections : 0
% 0.11/0.48 % Paramodulations : 3006
% 0.11/0.48 % Factorizations : 0
% 0.11/0.48 % NegExts : 0
% 0.11/0.48 % Equation resolutions : 0
% 0.11/0.48 % Disequality decompositions : 0
% 0.11/0.48 % Total rewrite steps : 638
% 0.11/0.48 % ...of those cached : 394
% 0.11/0.48 % Propositional unsat checks : 0
% 0.11/0.48 % Propositional check models : 0
% 0.11/0.48 % Propositional check unsatisfiable : 0
% 0.11/0.48 % Propositional clauses : 0
% 0.11/0.48 % Propositional clauses after purity: 0
% 0.11/0.48 % Propositional unsat core size : 0
% 0.11/0.48 % Propositional preprocessing time : 0.000
% 0.11/0.48 % Propositional encoding time : 0.000
% 0.11/0.48 % Propositional solver time : 0.000
% 0.11/0.48 % Success case prop preproc time : 0.000
% 0.11/0.48 % Success case prop encoding time : 0.000
% 0.11/0.48 % Success case prop solver time : 0.000
% 0.11/0.48 % Current number of processed clauses : 207
% 0.11/0.48 % Positive orientable unit clauses : 67
% 0.11/0.48 % Positive unorientable unit clauses: 0
% 0.11/0.48 % Negative unit clauses : 0
% 0.11/0.48 % Non-unit-clauses : 140
% 0.11/0.48 % Current number of unprocessed clauses: 2177
% 0.11/0.48 % ...number of literals in the above : 2295
% 0.11/0.48 % Current number of archived formulas : 0
% 0.11/0.48 % Current number of archived clauses : 19
% 0.11/0.48 % Clause-clause subsumption calls (NU) : 1532
% 0.11/0.48 % Rec. Clause-clause subsumption calls : 1214
% 0.11/0.48 % Non-unit clause-clause subsumptions : 0
% 0.11/0.48 % Unit Clause-clause subsumption calls : 45
% 0.11/0.48 % Rewrite failures with RHS unbound : 0
% 0.11/0.48 % BW rewrite match attempts : 237
% 0.11/0.48 % BW rewrite match successes : 1
% 0.11/0.48 % Condensation attempts : 0
% 0.11/0.48 % Condensation successes : 0
% 0.11/0.48 % Termbank termtop insertions : 52162
% 0.11/0.48 % Search garbage collected termcells : 46
% 0.11/0.48
% 0.11/0.48 % -------------------------------------------------
% 0.11/0.48 % User time : 0.041 s
% 0.11/0.48 % System time : 0.005 s
% 0.11/0.48 % Total time : 0.046 s
% 0.11/0.48 % Maximum resident set size: 3604 pages
% 0.11/0.48
% 0.11/0.48 % -------------------------------------------------
% 0.11/0.48 % User time : 0.200 s
% 0.11/0.48 % System time : 0.030 s
% 0.11/0.48 % Total time : 0.230 s
% 0.11/0.48 % Maximum resident set size: 4608 pages
% 0.11/0.48 % E exiting
%------------------------------------------------------------------------------