%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN600-1 : 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 : n003.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 1.81s 0.80s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 42 ( 16 unt; 0 nHn; 40 RR)
% Number of literals : 91 ( 0 equ; 52 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_19,negated_conjecture,
( ~ p7(X3,X2)
| ~ p7(X3,X1)
| p7(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
cnf(p7_4,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
cnf(p7_17,negated_conjecture,
( ~ p7(X1,X2)
| p7(f15(X1),f15(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
cnf(p7_7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_7) ).
cnf(p18_23,negated_conjecture,
( ~ p18(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p18(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
cnf(p17_22,negated_conjecture,
( ~ p17(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p17(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_22) ).
cnf(p18_27,negated_conjecture,
( ~ p19(X1)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
cnf(p17_28,negated_conjecture,
( ~ p19(X1)
| p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_28) ).
cnf(p3_29,negated_conjecture,
( ~ p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p19(X1)
| p3(f4(f6(X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
cnf(c22_is_p19_2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_is_p19_2) ).
cnf(not_p3_8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
cnf(c21_is_p19_1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p19_1) ).
cnf(c_0_12,negated_conjecture,
( ~ p7(X3,X2)
| ~ p7(X3,X1)
| p7(X1,X2) ),
inference(fof_simplification,[status(thm)],[p7_19]) ).
cnf(c_0_13,negated_conjecture,
( ~ p7(X3,X2)
| ~ p7(X3,X1)
| p7(X1,X2) ),
c_0_12 ).
cnf(c_0_14,negated_conjecture,
p7(X1,X1),
p7_4 ).
cnf(c_0_15,negated_conjecture,
( ~ p7(X1,X2)
| p7(f15(X1),f15(X2)) ),
inference(fof_simplification,[status(thm)],[p7_17]) ).
cnf(c_0_16,negated_conjecture,
( ~ p7(X2,X1)
| p7(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p7(f16(c21),f16(c22)),
p7_7 ).
cnf(c_0_18,negated_conjecture,
( ~ p18(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p18(X1,X2) ),
inference(fof_simplification,[status(thm)],[p18_23]) ).
cnf(c_0_19,negated_conjecture,
( ~ p7(X1,X2)
| p7(f15(X1),f15(X2)) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
p7(f16(c22),f16(c21)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ p17(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p17(X1,X2) ),
inference(fof_simplification,[status(thm)],[p17_22]) ).
cnf(c_0_22,negated_conjecture,
( ~ p18(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p18(X1,X2) ),
c_0_18 ).
cnf(c_0_23,negated_conjecture,
p7(f15(f16(c22)),f15(f16(c21))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( ~ p17(X3,X4)
| ~ p7(X4,X2)
| ~ p7(X3,X1)
| p17(X1,X2) ),
c_0_21 ).
cnf(c_0_25,negated_conjecture,
( ~ p7(X2,X1)
| ~ p18(X2,f15(f16(c22)))
| p18(X1,f15(f16(c21))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( ~ p19(X1)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))) ),
inference(fof_simplification,[status(thm)],[p18_27]) ).
cnf(c_0_27,negated_conjecture,
( ~ p7(X3,X1)
| ~ p17(X3,X2)
| p17(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( ~ p19(X1)
| p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(fof_simplification,[status(thm)],[p17_28]) ).
cnf(c_0_29,negated_conjecture,
( ~ p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p19(X1)
| p3(f4(f6(X1)),X2) ),
inference(fof_simplification,[status(thm)],[p3_29]) ).
cnf(c_0_30,negated_conjecture,
( ~ p18(X1,f15(f16(c22)))
| p18(X1,f15(f16(c21))) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_31,negated_conjecture,
( ~ p19(X1)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))) ),
c_0_26 ).
cnf(c_0_32,negated_conjecture,
p19(c22),
c22_is_p19_2 ).
cnf(c_0_33,negated_conjecture,
( ~ p17(f15(f16(c22)),X1)
| p17(f15(f16(c21)),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( ~ p19(X1)
| p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
c_0_28 ).
cnf(c_0_35,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(fof_simplification,[status(thm)],[not_p3_8]) ).
cnf(c_0_36,negated_conjecture,
( ~ p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p19(X1)
| p3(f4(f6(X1)),X2) ),
c_0_29 ).
cnf(c_0_37,negated_conjecture,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_38,negated_conjecture,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]) ).
cnf(c_0_39,negated_conjecture,
p19(c21),
c21_is_p19_1 ).
cnf(c_0_40,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
c_0_35 ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n003.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 11:11:31 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.57 Running first-order theorem proving
% 0.15/0.57 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
% 1.81/0.80 % Version: 3.5.1
% 1.81/0.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.81/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.81/0.80 % Starting new_bool_3 with 300s (1) cores
% 1.81/0.80 % Starting new_bool_1 with 300s (1) cores
% 1.81/0.80 % Starting sh5l with 300s (1) cores
% 1.81/0.80 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4143790 completed with status 0
% 1.81/0.80 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.81/0.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.81/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.81/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.81/0.80 % No SInE strategy applied
% 1.81/0.80 % Search class: FHUNM-FFMS21-DFFFFFNN
% 1.81/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.81/0.80 % Starting SubtermCWHack with 136s (1) cores
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 1.81/0.80 % Starting new_bool_3 with 136s (1) cores
% 1.81/0.80 % Starting new_bool_1 with 136s (1) cores
% 1.81/0.80 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with pid 4143797 completed with status 0
% 1.81/0.80 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1
% 1.81/0.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.81/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.81/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.81/0.80 % No SInE strategy applied
% 1.81/0.80 % Search class: FHUNM-FFMS21-DFFFFFNN
% 1.81/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.81/0.80 % Starting SubtermCWHack with 136s (1) cores
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.81/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 1.81/0.80 % Preprocessing time : 0.002 s
% 1.81/0.80 % Presaturation interreduction done
% 1.81/0.80
% 1.81/0.80 % Proof found!
% 1.81/0.80 % SZS status Unsatisfiable
% 1.81/0.80 % SZS output start CNFRefutation
% See solution above
% 1.81/0.80 % Parsed axioms : 29
% 1.81/0.80 % Removed by relevancy pruning/SinE : 0
% 1.81/0.80 % Initial clauses : 29
% 1.81/0.80 % Removed in clause preprocessing : 0
% 1.81/0.80 % Initial clauses in saturation : 29
% 1.81/0.80 % Processed clauses : 897
% 1.81/0.80 % ...of these trivial : 71
% 1.81/0.80 % ...subsumed : 0
% 1.81/0.80 % ...remaining for further processing : 826
% 1.81/0.80 % Other redundant clauses eliminated : 0
% 1.81/0.80 % Clauses deleted for lack of memory : 0
% 1.81/0.80 % Backward-subsumed : 0
% 1.81/0.80 % Backward-rewritten : 4
% 1.81/0.80 % Generated clauses : 10250
% 1.81/0.80 % ...of the previous two non-redundant : 9995
% 1.81/0.80 % ...aggressively subsumed : 0
% 1.81/0.80 % Contextual simplify-reflections : 0
% 1.81/0.80 % Paramodulations : 10250
% 1.81/0.80 % Factorizations : 0
% 1.81/0.80 % NegExts : 0
% 1.81/0.80 % Equation resolutions : 0
% 1.81/0.80 % Disequality decompositions : 0
% 1.81/0.80 % Total rewrite steps : 332
% 1.81/0.80 % ...of those cached : 126
% 1.81/0.80 % Propositional unsat checks : 0
% 1.81/0.80 % Propositional check models : 0
% 1.81/0.80 % Propositional check unsatisfiable : 0
% 1.81/0.80 % Propositional clauses : 0
% 1.81/0.80 % Propositional clauses after purity: 0
% 1.81/0.80 % Propositional unsat core size : 0
% 1.81/0.80 % Propositional preprocessing time : 0.000
% 1.81/0.80 % Propositional encoding time : 0.000
% 1.81/0.80 % Propositional solver time : 0.000
% 1.81/0.80 % Success case prop preproc time : 0.000
% 1.81/0.80 % Success case prop encoding time : 0.000
% 1.81/0.80 % Success case prop solver time : 0.000
% 1.81/0.80 % Current number of processed clauses : 793
% 1.81/0.80 % Positive orientable unit clauses : 95
% 1.81/0.80 % Positive unorientable unit clauses: 0
% 1.81/0.80 % Negative unit clauses : 1
% 1.81/0.80 % Non-unit-clauses : 697
% 1.81/0.80 % Current number of unprocessed clauses: 9111
% 1.81/0.80 % ...number of literals in the above : 16282
% 1.81/0.80 % Current number of archived formulas : 0
% 1.81/0.80 % Current number of archived clauses : 33
% 1.81/0.80 % Clause-clause subsumption calls (NU) : 168394
% 1.81/0.80 % Rec. Clause-clause subsumption calls : 136350
% 1.81/0.80 % Non-unit clause-clause subsumptions : 0
% 1.81/0.80 % Unit Clause-clause subsumption calls : 4053
% 1.81/0.80 % Rewrite failures with RHS unbound : 0
% 1.81/0.80 % BW rewrite match attempts : 340
% 1.81/0.80 % BW rewrite match successes : 4
% 1.81/0.80 % Condensation attempts : 0
% 1.81/0.80 % Condensation successes : 0
% 1.81/0.80 % Termbank termtop insertions : 236469
% 1.81/0.80 % Search garbage collected termcells : 78
% 1.81/0.80
% 1.81/0.80 % -------------------------------------------------
% 1.81/0.80 % User time : 0.180 s
% 1.81/0.80 % System time : 0.020 s
% 1.81/0.80 % Total time : 0.200 s
% 1.81/0.80 % Maximum resident set size: 3672 pages
% 1.81/0.80
% 1.81/0.80 % -------------------------------------------------
% 1.81/0.80 % User time : 0.931 s
% 1.81/0.80 % System time : 0.082 s
% 1.81/0.80 % Total time : 1.013 s
% 1.81/0.80 % Maximum resident set size: 4608 pages
% 1.81/0.80 % E exiting
%------------------------------------------------------------------------------