%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN607-1 : 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 : n007.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 03:25:43 PM UTC 2026
% Result : Unsatisfiable 10.45s 1.80s
% Output : CNFRefutation 10.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 14 unt; 0 nHn; 27 RR)
% Number of literals : 63 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p17_20,negated_conjecture,
( ~ p17(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p17(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(p2_12,negated_conjecture,
( ~ p3(X1,X2)
| p2(f9(X1),f9(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p3_19,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
cnf(p17_27,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_27) ).
cnf(p3_24,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p3(f10(X1,X2),f10(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p17_29,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_29) ).
cnf(p3_8,negated_conjecture,
p3(f12(f15(c22),c21),f15(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(c_0_9,negated_conjecture,
( ~ p17(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p17(X1,X2) ),
inference(fof_simplification,[status(thm)],[p17_20]) ).
cnf(c_0_10,negated_conjecture,
( ~ p17(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p17(X1,X2) ),
c_0_9 ).
cnf(c_0_11,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X1,X2)
| p2(f9(X1),f9(X2)) ),
inference(fof_simplification,[status(thm)],[p2_12]) ).
cnf(c_0_13,negated_conjecture,
( ~ p2(X3,X1)
| ~ p17(X3,X2)
| p17(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X1,X2)
| p2(f9(X1),f9(X2)) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_19]) ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X3,X1)
| ~ p17(f9(X3),X2)
| p17(f9(X1),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
p17_27 ).
cnf(c_0_18,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p3(f10(X1,X2),f10(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p3_24]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_21,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
inference(fof_simplification,[status(thm)],[not_p17_29]) ).
cnf(c_0_22,negated_conjecture,
( ~ p3(f10(f14(f4(f9(c19)),c19),f15(c22)),X1)
| p17(f9(X1),f6(f7(f8(c20)))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( ~ p3(X2,X4)
| ~ p3(X1,X3)
| p3(f10(X1,X2),f10(X3,X4)) ),
c_0_18 ).
cnf(c_0_24,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p3(f12(f15(c22),c21),f15(c22)),
p3_8 ).
cnf(c_0_26,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))),f6(f7(f8(c20)))),
c_0_21 ).
cnf(c_0_27,negated_conjecture,
( ~ p3(f15(c22),X2)
| ~ p3(f14(f4(f9(c19)),c19),X1)
| p17(f9(f10(X1,X2)),f6(f7(f8(c20)))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p3(f15(c22),f12(f15(c22),c21)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ p3(f15(c22),f12(X1,c21)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_28,c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN607-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:07:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 10.45/1.80 % Version: 3.5.1
% 10.45/1.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.45/1.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.45/1.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.45/1.80 % Starting new_bool_3 with 300s (1) cores
% 10.45/1.80 % Starting new_bool_1 with 300s (1) cores
% 10.45/1.80 % Starting sh5l with 300s (1) cores
% 10.45/1.80 % sh5l with pid 936211 completed with status 0
% 10.45/1.80 % Result found by sh5l
% 10.45/1.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.45/1.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.45/1.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.45/1.80 % Starting new_bool_3 with 300s (1) cores
% 10.45/1.80 % Starting new_bool_1 with 300s (1) cores
% 10.45/1.80 % Starting sh5l with 300s (1) cores
% 10.45/1.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 10.45/1.80 % SinE strategy is gf500_gu_R04_F100_L20000
% 10.45/1.80 % Search class: FGUNS-FFMS21-DFFFFFNN
% 10.45/1.80 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.45/1.80 % Starting SubtermCWHack with 31s (1) cores
% 10.45/1.80 % SubtermCWHack with pid 936218 completed with status 0
% 10.45/1.80 % Result found by SubtermCWHack
% 10.45/1.80 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.45/1.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.45/1.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.45/1.80 % Starting new_bool_3 with 300s (1) cores
% 10.45/1.80 % Starting new_bool_1 with 300s (1) cores
% 10.45/1.80 % Starting sh5l with 300s (1) cores
% 10.45/1.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 10.45/1.80 % SinE strategy is gf500_gu_R04_F100_L20000
% 10.45/1.80 % Search class: FGUNS-FFMS21-DFFFFFNN
% 10.45/1.80 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.45/1.80 % Starting SubtermCWHack with 31s (1) cores
% 10.45/1.80 % Preprocessing time : 0.001 s
% 10.45/1.80
% 10.45/1.80 % Proof found!
% 10.45/1.80 % SZS status Unsatisfiable
% 10.45/1.80 % SZS output start CNFRefutation
% See solution above
% 10.45/1.80 % Parsed axioms : 30
% 10.45/1.80 % Removed by relevancy pruning/SinE : 0
% 10.45/1.80 % Initial clauses : 30
% 10.45/1.80 % Removed in clause preprocessing : 0
% 10.45/1.80 % Initial clauses in saturation : 30
% 10.45/1.80 % Processed clauses : 15731
% 10.45/1.80 % ...of these trivial : 41
% 10.45/1.80 % ...subsumed : 13345
% 10.45/1.80 % ...remaining for further processing : 2345
% 10.45/1.80 % Other redundant clauses eliminated : 0
% 10.45/1.80 % Clauses deleted for lack of memory : 0
% 10.45/1.80 % Backward-subsumed : 104
% 10.45/1.80 % Backward-rewritten : 1
% 10.45/1.80 % Generated clauses : 165567
% 10.45/1.80 % ...of the previous two non-redundant : 155667
% 10.45/1.80 % ...aggressively subsumed : 0
% 10.45/1.80 % Contextual simplify-reflections : 0
% 10.45/1.80 % Paramodulations : 165566
% 10.45/1.80 % Factorizations : 0
% 10.45/1.80 % NegExts : 0
% 10.45/1.80 % Equation resolutions : 0
% 10.45/1.80 % Disequality decompositions : 0
% 10.45/1.80 % Total rewrite steps : 44592
% 10.45/1.80 % ...of those cached : 44515
% 10.45/1.80 % Propositional unsat checks : 0
% 10.45/1.80 % Propositional check models : 0
% 10.45/1.80 % Propositional check unsatisfiable : 0
% 10.45/1.80 % Propositional clauses : 0
% 10.45/1.80 % Propositional clauses after purity: 0
% 10.45/1.80 % Propositional unsat core size : 0
% 10.45/1.80 % Propositional preprocessing time : 0.000
% 10.45/1.80 % Propositional encoding time : 0.000
% 10.45/1.80 % Propositional solver time : 0.000
% 10.45/1.80 % Success case prop preproc time : 0.000
% 10.45/1.80 % Success case prop encoding time : 0.000
% 10.45/1.80 % Success case prop solver time : 0.000
% 10.45/1.80 % Current number of processed clauses : 2239
% 10.45/1.80 % Positive orientable unit clauses : 49
% 10.45/1.80 % Positive unorientable unit clauses: 0
% 10.45/1.80 % Negative unit clauses : 5
% 10.45/1.80 % Non-unit-clauses : 2185
% 10.45/1.80 % Current number of unprocessed clauses: 139947
% 10.45/1.80 % ...number of literals in the above : 493692
% 10.45/1.80 % Current number of archived formulas : 0
% 10.45/1.80 % Current number of archived clauses : 106
% 10.45/1.80 % Clause-clause subsumption calls (NU) : 813065
% 10.45/1.80 % Rec. Clause-clause subsumption calls : 759728
% 10.45/1.80 % Non-unit clause-clause subsumptions : 13365
% 10.45/1.80 % Unit Clause-clause subsumption calls : 1487
% 10.45/1.80 % Rewrite failures with RHS unbound : 0
% 10.45/1.80 % BW rewrite match attempts : 298
% 10.45/1.80 % BW rewrite match successes : 4
% 10.45/1.80 % Condensation attempts : 0
% 10.45/1.80 % Condensation successes : 0
% 10.45/1.80 % Termbank termtop insertions : 2710391
% 10.45/1.80 % Search garbage collected termcells : 72
% 10.45/1.80
% 10.45/1.80 % -------------------------------------------------
% 10.45/1.80 % User time : 1.280 s
% 10.45/1.80 % System time : 0.065 s
% 10.45/1.80 % Total time : 1.345 s
% 10.45/1.80 % Maximum resident set size: 3664 pages
% 10.45/1.80
% 10.45/1.80 % -------------------------------------------------
% 10.45/1.80 % User time : 1.282 s
% 10.45/1.80 % System time : 0.070 s
% 10.45/1.80 % Total time : 1.352 s
% 10.45/1.80 % Maximum resident set size: 4608 pages
% 10.45/1.80 % E exiting
%------------------------------------------------------------------------------