%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN595-1 : 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 : n012.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 03:25:41 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 13 unt; 0 nHn; 34 RR)
% Number of literals : 91 ( 0 equ; 63 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_26,negated_conjecture,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p2(X1,f3(c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_26) ).
cnf(p7_22,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_22) ).
cnf(p7_21,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_21) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_16,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(p14_5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_5) ).
cnf(p7_13,negated_conjecture,
( ~ p2(X1,X2)
| p7(f11(X1),f11(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_13) ).
cnf(p2_17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p15_6,negated_conjecture,
( ~ p14(X1,X2)
| p15(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_6) ).
cnf(p14_8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_8) ).
cnf(c_0_11,negated_conjecture,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p2(X1,f3(c17)) ),
inference(fof_simplification,[status(thm)],[not_p2_26]) ).
cnf(c_0_12,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_22]) ).
cnf(c_0_13,negated_conjecture,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p2(X1,f3(c17)) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f8(X1,X2),f8(X3,X4)) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
( ~ p2(X3,f3(c17))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p7(f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22))))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f9(X1,X2),f9(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p7_21]) ).
cnf(c_0_17,negated_conjecture,
( ~ p2(X3,f3(c17))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p7(f10(f11(f3(f4(f5(c17)))),f3(c17)),f10(f11(f3(f4(f5(c17)))),X3))
| ~ p7(f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p7(X2,X4)
| ~ p7(X1,X3)
| p7(f9(X1,X2),f9(X3,X4)) ),
c_0_16 ).
cnf(c_0_19,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X3,f3(c17))
| ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p7(f10(f11(f3(f4(f5(c17)))),f3(c17)),f10(f11(f3(f4(f5(c17)))),X3))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_22,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_16]) ).
cnf(c_0_23,negated_conjecture,
( ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),X2))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
p14_5 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(X1,X2)
| p7(f11(X1),f11(X2)) ),
inference(fof_simplification,[status(thm)],[p7_13]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
( ~ p7(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f11(X1))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
( ~ p2(X1,X2)
| p7(f11(X1),f11(X2)) ),
c_0_25 ).
cnf(c_0_29,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
p2_17 ).
cnf(c_0_31,negated_conjecture,
( ~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p15(X1,f6(f3(f4(f5(c17))),c16)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( ~ p14(X1,X2)
| p15(X1,X2) ),
inference(fof_simplification,[status(thm)],[p15_6]) ).
cnf(c_0_34,negated_conjecture,
~ p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( ~ p14(X1,X2)
| p15(X1,X2) ),
c_0_33 ).
cnf(c_0_36,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
p14_8 ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 11:09:23 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2233037 completed with status 0
% 0.07/0.34 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FGHNS-FFMS21-DFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.07/0.34 % Starting new_bool_3 with 136s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 136s (1) cores
% 0.07/0.34 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2233044 completed with status 0
% 0.07/0.34 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.34 % No SInE strategy applied
% 0.07/0.34 % Search class: FGHNS-FFMS21-DFFFFFNN
% 0.07/0.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.34 % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34 % Presaturation interreduction done
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 27
% 0.07/0.34 % Removed by relevancy pruning/SinE : 0
% 0.07/0.34 % Initial clauses : 27
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 27
% 0.07/0.34 % Processed clauses : 89
% 0.07/0.34 % ...of these trivial : 0
% 0.07/0.34 % ...subsumed : 8
% 0.07/0.34 % ...remaining for further processing : 81
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 3
% 0.07/0.34 % Backward-rewritten : 0
% 0.07/0.34 % Generated clauses : 121
% 0.07/0.34 % ...of the previous two non-redundant : 107
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 121
% 0.07/0.34 % Factorizations : 0
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 0
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 29
% 0.07/0.34 % ...of those cached : 16
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 51
% 0.07/0.34 % Positive orientable unit clauses : 9
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 7
% 0.07/0.34 % Non-unit-clauses : 35
% 0.07/0.34 % Current number of unprocessed clauses: 72
% 0.07/0.34 % ...number of literals in the above : 234
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 30
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 822
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 408
% 0.07/0.34 % Non-unit clause-clause subsumptions : 8
% 0.07/0.34 % Unit Clause-clause subsumption calls : 19
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 4
% 0.07/0.34 % BW rewrite match successes : 0
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 3957
% 0.07/0.34 % Search garbage collected termcells : 78
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.005 s
% 0.07/0.34 % System time : 0.002 s
% 0.07/0.34 % Total time : 0.008 s
% 0.07/0.34 % Maximum resident set size: 3668 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.024 s
% 0.07/0.34 % System time : 0.011 s
% 0.07/0.34 % Total time : 0.036 s
% 0.07/0.34 % Maximum resident set size: 4608 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------