%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN563-1 : 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 : n026.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 03:25:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 17 unt; 0 nHn; 29 RR)
% Number of literals : 63 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p6_9,negated_conjecture,
( ~ p6(c7,X1)
| p6(c7,f3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
cnf(p5_15,negated_conjecture,
( ~ p6(X1,X3)
| ~ p5(X3,X2)
| p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_15) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_7) ).
cnf(p5_17,negated_conjecture,
( ~ p2(X4,X1)
| ~ p5(X4,X3)
| ~ p2(X3,X2)
| p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_17) ).
cnf(p2_11,negated_conjecture,
( ~ p2(X1,X2)
| p2(f3(X1),f3(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p6_10,negated_conjecture,
( ~ p5(X1,X2)
| p6(f4(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_10) ).
cnf(not_p6_5,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).
cnf(c_0_10,negated_conjecture,
( ~ p6(c7,X1)
| p6(c7,f3(X1)) ),
inference(fof_simplification,[status(thm)],[p6_9]) ).
cnf(c_0_11,negated_conjecture,
( ~ p6(X1,X3)
| ~ p5(X3,X2)
| p5(X1,X2) ),
inference(fof_simplification,[status(thm)],[p5_15]) ).
cnf(c_0_12,negated_conjecture,
( ~ p6(c7,X1)
| p6(c7,f3(X1)) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
p6(X1,X1),
p6_2 ).
cnf(c_0_14,negated_conjecture,
( ~ p6(X1,X3)
| ~ p5(X3,X2)
| p5(X1,X2) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
p5(f3(f3(X1)),f3(f4(X1))),
p5_7 ).
cnf(c_0_16,negated_conjecture,
p6(c7,f3(c7)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ p2(X4,X1)
| ~ p5(X4,X3)
| ~ p2(X3,X2)
| p5(X1,X2) ),
inference(fof_simplification,[status(thm)],[p5_17]) ).
cnf(c_0_18,negated_conjecture,
( ~ p6(X1,f3(f3(X2)))
| p5(X1,f3(f4(X2))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p6(c7,f3(f3(c7))),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X4,X1)
| ~ p5(X4,X3)
| ~ p2(X3,X2)
| p5(X1,X2) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
p5(c7,f3(f4(c7))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ p2(X1,X2)
| p2(f3(X1),f3(X2)) ),
inference(fof_simplification,[status(thm)],[p2_11]) ).
cnf(c_0_23,negated_conjecture,
( ~ p2(c7,X1)
| ~ p2(f3(f4(c7)),X2)
| p5(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(X1,X2)
| p2(f3(X1),f3(X2)) ),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
p2(f4(c7),f4(c8)),
p2_4 ).
cnf(c_0_27,negated_conjecture,
( ~ p5(X1,X2)
| p6(f4(X1),X2) ),
inference(fof_simplification,[status(thm)],[p6_10]) ).
cnf(c_0_28,negated_conjecture,
( ~ p2(f3(f4(c7)),X1)
| p5(c7,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
p2(f3(f4(c7)),f3(f4(c8))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
inference(fof_simplification,[status(thm)],[not_p6_5]) ).
cnf(c_0_31,negated_conjecture,
( ~ p5(X1,X2)
| p6(f4(X1),X2) ),
c_0_27 ).
cnf(c_0_32,negated_conjecture,
p5(c7,f3(f4(c8))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
c_0_30 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:11:22 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.46 % Version: 3.5.1
% 0.12/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.46 % Starting sh5l with 300s (1) cores
% 0.12/0.46 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2116151 completed with status 0
% 0.12/0.46 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46 % No SInE strategy applied
% 0.12/0.46 % Search class: FHUNS-FFSF11-SFFFFFNN
% 0.12/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.46 % new_bool_1 with pid 2116162 completed with status 0
% 0.12/0.46 % Result found by new_bool_1
% 0.12/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46 % No SInE strategy applied
% 0.12/0.46 % Search class: FHUNS-FFSF11-SFFFFFNN
% 0.12/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.46 % Preprocessing time : 0.001 s
% 0.12/0.46 % Presaturation interreduction done
% 0.12/0.46
% 0.12/0.46 % Proof found!
% 0.12/0.46 % SZS status Unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation
% See solution above
% 0.12/0.46 % Parsed axioms : 17
% 0.12/0.46 % Removed by relevancy pruning/SinE : 0
% 0.12/0.46 % Initial clauses : 17
% 0.12/0.46 % Removed in clause preprocessing : 0
% 0.12/0.46 % Initial clauses in saturation : 17
% 0.12/0.46 % Processed clauses : 210
% 0.12/0.46 % ...of these trivial : 26
% 0.12/0.46 % ...subsumed : 0
% 0.12/0.46 % ...remaining for further processing : 184
% 0.12/0.46 % Other redundant clauses eliminated : 0
% 0.12/0.46 % Clauses deleted for lack of memory : 0
% 0.12/0.46 % Backward-subsumed : 0
% 0.12/0.46 % Backward-rewritten : 0
% 0.12/0.46 % Generated clauses : 605
% 0.12/0.46 % ...of the previous two non-redundant : 504
% 0.12/0.46 % ...aggressively subsumed : 0
% 0.12/0.46 % Contextual simplify-reflections : 0
% 0.12/0.46 % Paramodulations : 605
% 0.12/0.46 % Factorizations : 0
% 0.12/0.46 % NegExts : 0
% 0.12/0.46 % Equation resolutions : 0
% 0.12/0.46 % Disequality decompositions : 0
% 0.12/0.46 % Total rewrite steps : 122
% 0.12/0.46 % ...of those cached : 46
% 0.12/0.46 % Propositional unsat checks : 0
% 0.12/0.46 % Propositional check models : 0
% 0.12/0.46 % Propositional check unsatisfiable : 0
% 0.12/0.46 % Propositional clauses : 0
% 0.12/0.46 % Propositional clauses after purity: 0
% 0.12/0.46 % Propositional unsat core size : 0
% 0.12/0.46 % Propositional preprocessing time : 0.000
% 0.12/0.46 % Propositional encoding time : 0.000
% 0.12/0.46 % Propositional solver time : 0.000
% 0.12/0.46 % Success case prop preproc time : 0.000
% 0.12/0.46 % Success case prop encoding time : 0.000
% 0.12/0.46 % Success case prop solver time : 0.000
% 0.12/0.46 % Current number of processed clauses : 167
% 0.12/0.46 % Positive orientable unit clauses : 89
% 0.12/0.46 % Positive unorientable unit clauses: 0
% 0.12/0.46 % Negative unit clauses : 2
% 0.12/0.46 % Non-unit-clauses : 76
% 0.12/0.46 % Current number of unprocessed clauses: 328
% 0.12/0.46 % ...number of literals in the above : 453
% 0.12/0.46 % Current number of archived formulas : 0
% 0.12/0.46 % Current number of archived clauses : 17
% 0.12/0.46 % Clause-clause subsumption calls (NU) : 290
% 0.12/0.46 % Rec. Clause-clause subsumption calls : 280
% 0.12/0.46 % Non-unit clause-clause subsumptions : 0
% 0.12/0.46 % Unit Clause-clause subsumption calls : 2
% 0.12/0.46 % Rewrite failures with RHS unbound : 0
% 0.12/0.46 % BW rewrite match attempts : 172
% 0.12/0.46 % BW rewrite match successes : 0
% 0.12/0.46 % Condensation attempts : 0
% 0.12/0.46 % Condensation successes : 0
% 0.12/0.46 % Termbank termtop insertions : 7645
% 0.12/0.46 % Search garbage collected termcells : 45
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.011 s
% 0.12/0.46 % System time : 0.007 s
% 0.12/0.46 % Total time : 0.018 s
% 0.12/0.46 % Maximum resident set size: 3640 pages
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.116 s
% 0.12/0.46 % System time : 0.022 s
% 0.12/0.46 % Total time : 0.138 s
% 0.12/0.46 % Maximum resident set size: 4864 pages
% 0.12/0.46 % E exiting
%------------------------------------------------------------------------------