%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN649-1 : 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 : n005.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 03:25:48 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 8 unt; 0 nHn; 27 RR)
% Number of literals : 49 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p23_44,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_40,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_40) ).
cnf(p23_39,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2)
| p23(f5(c24,X1),f14(f22(c33,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_39) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(p23_42,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_42) ).
cnf(p23_41,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
cnf(not_p23_38,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29)
| ~ p23(f5(c24,c25),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_38) ).
cnf(c_0_7,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4)) ),
inference(fof_simplification,[status(thm)],[p23_44]) ).
cnf(c_0_8,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4) ),
inference(fof_simplification,[status(thm)],[p23_40]) ).
cnf(c_0_9,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2)
| p23(f5(c24,X1),f14(f22(c33,X2),X1)) ),
inference(fof_simplification,[status(thm)],[p23_39]) ).
cnf(c_0_10,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4)) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
p23_26 ).
cnf(c_0_12,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
inference(fof_simplification,[status(thm)],[p23_42]) ).
cnf(c_0_13,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4)
| p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4) ),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1) ),
inference(fof_simplification,[status(thm)],[p23_41]) ).
cnf(c_0_15,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29)
| ~ p23(f5(c24,c25),X1) ),
inference(fof_simplification,[status(thm)],[not_p23_38]) ).
cnf(c_0_16,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2)
| p23(f5(c24,X1),f14(f22(c33,X2),X1)) ),
c_0_9 ).
cnf(c_0_17,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X1),X2),X3),X5)
| ~ p23(f5(X2,X5),X4)
| p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1) ),
c_0_14 ).
cnf(c_0_21,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29)
| ~ p23(f5(c24,c25),X1) ),
c_0_15 ).
cnf(c_0_22,negated_conjecture,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( ~ p23(f5(f7(f10(c26,X1),c24),X2),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
| p23(f5(f7(f10(c26,f12(c27,X1)),c24),X2),c29) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:11:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 0.15/0.48 % Version: 3.5.1
% 0.15/0.48 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % Starting sh5l with 300s (1) cores
% 0.15/0.48 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3322514 completed with status 0
% 0.15/0.48 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.48 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48 % No SInE strategy applied
% 0.15/0.48 % Search class: FHHNM-FFMF22-MFFFFFNN
% 0.15/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.48 % new_bool_3 with pid 3322522 completed with status 0
% 0.15/0.48 % Result found by new_bool_3
% 0.15/0.48 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.48 % No SInE strategy applied
% 0.15/0.48 % Search class: FHHNM-FFMF22-MFFFFFNN
% 0.15/0.48 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.48 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.48 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.48 % Preprocessing time : 0.001 s
% 0.15/0.48 % Presaturation interreduction done
% 0.15/0.48
% 0.15/0.48 % Proof found!
% 0.15/0.48 % SZS status Unsatisfiable
% 0.15/0.48 % SZS output start CNFRefutation
% See solution above
% 0.15/0.49 % Parsed axioms : 44
% 0.15/0.49 % Removed by relevancy pruning/SinE : 0
% 0.15/0.49 % Initial clauses : 44
% 0.15/0.49 % Removed in clause preprocessing : 0
% 0.15/0.49 % Initial clauses in saturation : 44
% 0.15/0.49 % Processed clauses : 135
% 0.15/0.49 % ...of these trivial : 0
% 0.15/0.49 % ...subsumed : 0
% 0.15/0.49 % ...remaining for further processing : 135
% 0.15/0.49 % Other redundant clauses eliminated : 0
% 0.15/0.49 % Clauses deleted for lack of memory : 0
% 0.15/0.49 % Backward-subsumed : 0
% 0.15/0.49 % Backward-rewritten : 0
% 0.15/0.49 % Generated clauses : 102
% 0.15/0.49 % ...of the previous two non-redundant : 76
% 0.15/0.49 % ...aggressively subsumed : 0
% 0.15/0.49 % Contextual simplify-reflections : 0
% 0.15/0.49 % Paramodulations : 102
% 0.15/0.49 % Factorizations : 0
% 0.15/0.49 % NegExts : 0
% 0.15/0.49 % Equation resolutions : 0
% 0.15/0.49 % Disequality decompositions : 0
% 0.15/0.49 % Total rewrite steps : 24
% 0.15/0.49 % ...of those cached : 1
% 0.15/0.49 % Propositional unsat checks : 0
% 0.15/0.49 % Propositional check models : 0
% 0.15/0.49 % Propositional check unsatisfiable : 0
% 0.15/0.49 % Propositional clauses : 0
% 0.15/0.49 % Propositional clauses after purity: 0
% 0.15/0.49 % Propositional unsat core size : 0
% 0.15/0.49 % Propositional preprocessing time : 0.000
% 0.15/0.49 % Propositional encoding time : 0.000
% 0.15/0.49 % Propositional solver time : 0.000
% 0.15/0.49 % Success case prop preproc time : 0.000
% 0.15/0.49 % Success case prop encoding time : 0.000
% 0.15/0.49 % Success case prop solver time : 0.000
% 0.15/0.49 % Current number of processed clauses : 91
% 0.15/0.49 % Positive orientable unit clauses : 29
% 0.15/0.49 % Positive unorientable unit clauses: 0
% 0.15/0.49 % Negative unit clauses : 1
% 0.15/0.49 % Non-unit-clauses : 61
% 0.15/0.49 % Current number of unprocessed clauses: 28
% 0.15/0.49 % ...number of literals in the above : 40
% 0.15/0.49 % Current number of archived formulas : 0
% 0.15/0.49 % Current number of archived clauses : 44
% 0.15/0.49 % Clause-clause subsumption calls (NU) : 868
% 0.15/0.49 % Rec. Clause-clause subsumption calls : 814
% 0.15/0.49 % Non-unit clause-clause subsumptions : 0
% 0.15/0.49 % Unit Clause-clause subsumption calls : 1
% 0.15/0.49 % Rewrite failures with RHS unbound : 0
% 0.15/0.49 % BW rewrite match attempts : 99
% 0.15/0.49 % BW rewrite match successes : 0
% 0.15/0.49 % Condensation attempts : 0
% 0.15/0.49 % Condensation successes : 0
% 0.15/0.49 % Termbank termtop insertions : 5082
% 0.15/0.49 % Search garbage collected termcells : 154
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.012 s
% 0.15/0.49 % System time : 0.004 s
% 0.15/0.49 % Total time : 0.016 s
% 0.15/0.49 % Maximum resident set size: 3428 pages
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.068 s
% 0.15/0.49 % System time : 0.020 s
% 0.15/0.49 % Total time : 0.088 s
% 0.15/0.49 % Maximum resident set size: 4608 pages
% 0.15/0.49 % E exiting
%------------------------------------------------------------------------------