%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN638-1 : 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 : n018.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 03:25:47 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 46 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p22_28,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).
cnf(p4_4,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p4_12,negated_conjecture,
( ~ p4(X1,X2)
| p4(f16(X1),f16(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).
cnf(p4_32,negated_conjecture,
( ~ p4(X2,X4)
| ~ p4(X1,X3)
| p4(f17(X1,X2),f17(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).
cnf(c_0_7,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
inference(fof_simplification,[status(thm)],[p22_28]) ).
cnf(c_0_8,negated_conjecture,
( ~ p22(X3,X4)
| ~ p4(X4,X2)
| ~ p4(X3,X1)
| p22(X1,X2) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
p4(X1,X1),
p4_4 ).
cnf(c_0_10,negated_conjecture,
( ~ p4(X1,X2)
| p4(f16(X1),f16(X2)) ),
inference(fof_simplification,[status(thm)],[p4_12]) ).
cnf(c_0_11,negated_conjecture,
( ~ p4(X3,X1)
| ~ p22(X3,X2)
| p22(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ p4(X1,X2)
| p4(f16(X1),f16(X2)) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(fof_simplification,[status(thm)],[not_p22_41]) ).
cnf(c_0_14,negated_conjecture,
( ~ p4(X3,X1)
| ~ p22(f16(X3),X2)
| p22(f16(X1),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
p22_40 ).
cnf(c_0_16,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
( ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),X1)
| p22(f16(X1),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ p4(X2,X4)
| ~ p4(X1,X3)
| p4(f17(X1,X2),f17(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_32]) ).
cnf(c_0_19,negated_conjecture,
~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ p4(X2,X4)
| ~ p4(X1,X3)
| p4(f17(X1,X2),f17(X3,X4)) ),
c_0_18 ).
cnf(c_0_21,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
p4_39 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 11:12:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.18/0.49 % Version: 3.5.1
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1734770 completed with status 0
% 0.18/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.49 % No SInE strategy applied
% 0.18/0.49 % Search class: FHUNM-FFMS31-DFFFFFNN
% 0.18/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.18/0.49 % Starting new_bool_3 with 136s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 136s (1) cores
% 0.18/0.49 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1734783 completed with status 0
% 0.18/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.49 % No SInE strategy applied
% 0.18/0.49 % Search class: FHUNM-FFMS31-DFFFFFNN
% 0.18/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.18/0.49 % Preprocessing time : 0.002 s
% 0.18/0.49 % Presaturation interreduction done
% 0.18/0.49
% 0.18/0.49 % Proof found!
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49 % Parsed axioms : 41
% 0.18/0.49 % Removed by relevancy pruning/SinE : 0
% 0.18/0.49 % Initial clauses : 41
% 0.18/0.49 % Removed in clause preprocessing : 0
% 0.18/0.49 % Initial clauses in saturation : 41
% 0.18/0.49 % Processed clauses : 247
% 0.18/0.49 % ...of these trivial : 0
% 0.18/0.49 % ...subsumed : 50
% 0.18/0.49 % ...remaining for further processing : 197
% 0.18/0.49 % Other redundant clauses eliminated : 0
% 0.18/0.49 % Clauses deleted for lack of memory : 0
% 0.18/0.49 % Backward-subsumed : 0
% 0.18/0.49 % Backward-rewritten : 0
% 0.18/0.49 % Generated clauses : 364
% 0.18/0.49 % ...of the previous two non-redundant : 349
% 0.18/0.49 % ...aggressively subsumed : 0
% 0.18/0.49 % Contextual simplify-reflections : 0
% 0.18/0.49 % Paramodulations : 364
% 0.18/0.49 % Factorizations : 0
% 0.18/0.49 % NegExts : 0
% 0.18/0.49 % Equation resolutions : 0
% 0.18/0.49 % Disequality decompositions : 0
% 0.18/0.49 % Total rewrite steps : 13
% 0.18/0.49 % ...of those cached : 2
% 0.18/0.49 % Propositional unsat checks : 0
% 0.18/0.49 % Propositional check models : 0
% 0.18/0.49 % Propositional check unsatisfiable : 0
% 0.18/0.49 % Propositional clauses : 0
% 0.18/0.49 % Propositional clauses after purity: 0
% 0.18/0.49 % Propositional unsat core size : 0
% 0.18/0.49 % Propositional preprocessing time : 0.000
% 0.18/0.49 % Propositional encoding time : 0.000
% 0.18/0.49 % Propositional solver time : 0.000
% 0.18/0.49 % Success case prop preproc time : 0.000
% 0.18/0.49 % Success case prop encoding time : 0.000
% 0.18/0.49 % Success case prop solver time : 0.000
% 0.18/0.49 % Current number of processed clauses : 156
% 0.18/0.49 % Positive orientable unit clauses : 12
% 0.18/0.49 % Positive unorientable unit clauses: 0
% 0.18/0.49 % Negative unit clauses : 5
% 0.18/0.49 % Non-unit-clauses : 139
% 0.18/0.49 % Current number of unprocessed clauses: 184
% 0.18/0.49 % ...number of literals in the above : 605
% 0.18/0.49 % Current number of archived formulas : 0
% 0.18/0.49 % Current number of archived clauses : 41
% 0.18/0.49 % Clause-clause subsumption calls (NU) : 3806
% 0.18/0.49 % Rec. Clause-clause subsumption calls : 3473
% 0.18/0.49 % Non-unit clause-clause subsumptions : 50
% 0.18/0.49 % Unit Clause-clause subsumption calls : 2
% 0.18/0.49 % Rewrite failures with RHS unbound : 0
% 0.18/0.49 % BW rewrite match attempts : 6
% 0.18/0.49 % BW rewrite match successes : 0
% 0.18/0.49 % Condensation attempts : 0
% 0.18/0.49 % Condensation successes : 0
% 0.18/0.49 % Termbank termtop insertions : 7287
% 0.18/0.49 % Search garbage collected termcells : 123
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.027 s
% 0.18/0.49 % System time : 0.004 s
% 0.18/0.49 % Total time : 0.031 s
% 0.18/0.49 % Maximum resident set size: 3680 pages
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.111 s
% 0.18/0.49 % System time : 0.025 s
% 0.18/0.49 % Total time : 0.135 s
% 0.18/0.49 % Maximum resident set size: 4608 pages
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------