%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN569-1 : 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 : n026.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 03:25:38 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.66s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 41 ( 19 unt; 0 nHn; 38 RR)
% Number of literals : 78 ( 0 equ; 41 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_7,negated_conjecture,
( ~ p8(X1,X2)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
cnf(p2_11,negated_conjecture,
( ~ p9(X3,X2,X4)
| ~ p9(X3,X1,X4)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p9_12,negated_conjecture,
( ~ p10(c11,X1)
| ~ p10(X1,c12)
| p9(c13,f3(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).
cnf(p8_3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).
cnf(p2_10,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p9_6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(not_p8_20,negated_conjecture,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1)))
| ~ p8(c11,X1)
| ~ p8(X1,c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).
cnf(p2_15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(c_0_11,negated_conjecture,
( ~ p8(X1,X2)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_7]) ).
cnf(c_0_12,negated_conjecture,
( ~ p9(X3,X2,X4)
| ~ p9(X3,X1,X4)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_11]) ).
cnf(c_0_13,negated_conjecture,
( ~ p10(c11,X1)
| ~ p10(X1,c12)
| p9(c13,f3(X1),X1) ),
inference(fof_simplification,[status(thm)],[p9_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ p8(X1,X2)
| p10(X1,X2) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
p8(c14,c12),
p8_3 ).
cnf(c_0_16,negated_conjecture,
p8(c11,c14),
p8_5 ).
cnf(c_0_17,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_10]) ).
cnf(c_0_18,negated_conjecture,
( ~ p9(X3,X2,X4)
| ~ p9(X3,X1,X4)
| p2(X1,X2) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
p9(c13,c15,c14),
p9_6 ).
cnf(c_0_20,negated_conjecture,
( ~ p10(c11,X1)
| ~ p10(X1,c12)
| p9(c13,f3(X1),X1) ),
c_0_13 ).
cnf(c_0_21,negated_conjecture,
p10(c14,c12),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
p10(c11,c14),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_17 ).
cnf(c_0_24,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_25,negated_conjecture,
( ~ p9(c13,X1,c14)
| p2(X1,c15) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
p9(c13,f3(c14),c14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_16]) ).
cnf(c_0_28,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
p2(f3(c14),c15),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f4(X1,X2),f4(X3,X4)) ),
c_0_27 ).
cnf(c_0_31,negated_conjecture,
p2(c15,f3(c14)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( ~ p2(X1,X2)
| p2(f4(X1,c15),f4(X2,f3(c14))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1)))
| ~ p8(c11,X1)
| ~ p8(X1,c12) ),
inference(fof_simplification,[status(thm)],[not_p8_20]) ).
cnf(c_0_34,negated_conjecture,
p2(f4(X1,c15),f4(X1,f3(c14))),
inference(spm,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
p2_15 ).
cnf(c_0_36,negated_conjecture,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1)))
| ~ p8(c11,X1)
| ~ p8(X1,c12) ),
c_0_33 ).
cnf(c_0_37,negated_conjecture,
( ~ p2(f4(X2,c15),X1)
| p2(X1,f4(X2,f3(c14))) ),
inference(spm,[status(thm)],[c_0_23,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_16])]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n026.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 11:11:38 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.61 Running first-order theorem proving
% 0.14/0.61 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
% 0.15/0.66 % Version: 3.5.1
% 0.15/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.66 % Starting sh5l with 300s (1) cores
% 0.15/0.66 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2116955 completed with status 0
% 0.15/0.66 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.66 % No SInE strategy applied
% 0.15/0.66 % Search class: FHHNS-FFSS21-SFFFFFNN
% 0.15/0.66 % partial match(1): FHHNS-FFSF21-SFFFFFNN
% 0.15/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.66 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.66 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.66 % new_bool_3 with pid 2116965 completed with status 0
% 0.15/0.66 % Result found by new_bool_3
% 0.15/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.66 % No SInE strategy applied
% 0.15/0.66 % Search class: FHHNS-FFSS21-SFFFFFNN
% 0.15/0.66 % partial match(1): FHHNS-FFSF21-SFFFFFNN
% 0.15/0.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.66 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.66 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.66 % Preprocessing time : 0.001 s
% 0.15/0.66 % Presaturation interreduction done
% 0.15/0.66
% 0.15/0.66 % Proof found!
% 0.15/0.66 % SZS status Unsatisfiable
% 0.15/0.66 % SZS output start CNFRefutation
% See solution above
% 0.15/0.66 % Parsed axioms : 20
% 0.15/0.66 % Removed by relevancy pruning/SinE : 0
% 0.15/0.66 % Initial clauses : 20
% 0.15/0.66 % Removed in clause preprocessing : 0
% 0.15/0.66 % Initial clauses in saturation : 20
% 0.15/0.66 % Processed clauses : 196
% 0.15/0.66 % ...of these trivial : 26
% 0.15/0.66 % ...subsumed : 0
% 0.15/0.66 % ...remaining for further processing : 170
% 0.15/0.66 % Other redundant clauses eliminated : 0
% 0.15/0.66 % Clauses deleted for lack of memory : 0
% 0.15/0.66 % Backward-subsumed : 5
% 0.15/0.66 % Backward-rewritten : 6
% 0.15/0.66 % Generated clauses : 1267
% 0.15/0.66 % ...of the previous two non-redundant : 1095
% 0.15/0.66 % ...aggressively subsumed : 0
% 0.15/0.66 % Contextual simplify-reflections : 0
% 0.15/0.66 % Paramodulations : 1267
% 0.15/0.66 % Factorizations : 0
% 0.15/0.66 % NegExts : 0
% 0.15/0.66 % Equation resolutions : 0
% 0.15/0.66 % Disequality decompositions : 0
% 0.15/0.66 % Total rewrite steps : 205
% 0.15/0.66 % ...of those cached : 98
% 0.15/0.66 % Propositional unsat checks : 0
% 0.15/0.66 % Propositional check models : 0
% 0.15/0.66 % Propositional check unsatisfiable : 0
% 0.15/0.66 % Propositional clauses : 0
% 0.15/0.66 % Propositional clauses after purity: 0
% 0.15/0.66 % Propositional unsat core size : 0
% 0.15/0.66 % Propositional preprocessing time : 0.000
% 0.15/0.66 % Propositional encoding time : 0.000
% 0.15/0.66 % Propositional solver time : 0.000
% 0.15/0.66 % Success case prop preproc time : 0.000
% 0.15/0.66 % Success case prop encoding time : 0.000
% 0.15/0.66 % Success case prop solver time : 0.000
% 0.15/0.66 % Current number of processed clauses : 139
% 0.15/0.66 % Positive orientable unit clauses : 57
% 0.15/0.66 % Positive unorientable unit clauses: 0
% 0.15/0.66 % Negative unit clauses : 1
% 0.15/0.66 % Non-unit-clauses : 81
% 0.15/0.66 % Current number of unprocessed clauses: 938
% 0.15/0.66 % ...number of literals in the above : 1051
% 0.15/0.66 % Current number of archived formulas : 0
% 0.15/0.66 % Current number of archived clauses : 31
% 0.15/0.66 % Clause-clause subsumption calls (NU) : 732
% 0.15/0.66 % Rec. Clause-clause subsumption calls : 615
% 0.15/0.66 % Non-unit clause-clause subsumptions : 5
% 0.15/0.66 % Unit Clause-clause subsumption calls : 54
% 0.15/0.66 % Rewrite failures with RHS unbound : 0
% 0.15/0.66 % BW rewrite match attempts : 111
% 0.15/0.66 % BW rewrite match successes : 6
% 0.15/0.66 % Condensation attempts : 0
% 0.15/0.66 % Condensation successes : 0
% 0.15/0.66 % Termbank termtop insertions : 24663
% 0.15/0.66 % Search garbage collected termcells : 72
% 0.15/0.66
% 0.15/0.66 % -------------------------------------------------
% 0.15/0.66 % User time : 0.020 s
% 0.15/0.66 % System time : 0.006 s
% 0.15/0.66 % Total time : 0.026 s
% 0.15/0.66 % Maximum resident set size: 3648 pages
% 0.15/0.66
% 0.15/0.66 % -------------------------------------------------
% 0.15/0.66 % User time : 0.109 s
% 0.15/0.66 % System time : 0.021 s
% 0.15/0.66 % Total time : 0.130 s
% 0.15/0.66 % Maximum resident set size: 4608 pages
% 0.15/0.66 % E exiting
%------------------------------------------------------------------------------