%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN562-1 : 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 : n004.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 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 36 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 19 ( 7 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_14,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
cnf(not_p10_3,negated_conjecture,
~ p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_3) ).
cnf(p10_16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_16) ).
cnf(p2_12,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(c_0_5,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_14]) ).
cnf(c_0_6,negated_conjecture,
~ p10(X1,X1),
inference(fof_simplification,[status(thm)],[not_p10_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
p10_16 ).
cnf(c_0_9,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_12]) ).
cnf(c_0_10,negated_conjecture,
~ p10(X1,X1),
c_0_6 ).
cnf(c_0_11,negated_conjecture,
( ~ p2(f7(c11),X1)
| ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X2)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
p2_15 ).
cnf(c_0_14,negated_conjecture,
( ~ p2(f7(c11),X1)
| ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ p2(f7(c11),X1)
| p2(X1,f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN562-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:08:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2990903 completed with status 0
% 0.10/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FHUNS-FFSS11-DFFFFFNN
% 0.10/0.45 % partial match(2): FHUNS-FFSF21-DFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 351s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 351s (1) cores
% 0.10/0.45 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 150s (1) cores
% 0.10/0.45 % H----_011_C07_F1_PI_SE_SP_S0V with pid 2990914 completed with status 0
% 0.10/0.45 % Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FHUNS-FFSS11-DFFFFFNN
% 0.10/0.45 % partial match(2): FHUNS-FFSF21-DFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 351s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 351s (1) cores
% 0.10/0.45 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 150s (1) cores
% 0.10/0.45 % Preprocessing time : 0.001 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 16
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 16
% 0.10/0.45 % Removed in clause preprocessing : 0
% 0.10/0.45 % Initial clauses in saturation : 16
% 0.10/0.45 % Processed clauses : 145
% 0.10/0.45 % ...of these trivial : 0
% 0.10/0.45 % ...subsumed : 68
% 0.10/0.45 % ...remaining for further processing : 77
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 0
% 0.10/0.45 % Backward-rewritten : 0
% 0.10/0.45 % Generated clauses : 554
% 0.10/0.45 % ...of the previous two non-redundant : 475
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 0
% 0.10/0.45 % Paramodulations : 554
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 113
% 0.10/0.45 % ...of those cached : 103
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 77
% 0.10/0.45 % Positive orientable unit clauses : 8
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 1
% 0.10/0.45 % Non-unit-clauses : 68
% 0.10/0.45 % Current number of unprocessed clauses: 342
% 0.10/0.45 % ...number of literals in the above : 1059
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 0
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 475
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 458
% 0.10/0.45 % Non-unit clause-clause subsumptions : 68
% 0.10/0.45 % Unit Clause-clause subsumption calls : 0
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 0
% 0.10/0.45 % BW rewrite match successes : 0
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 6794
% 0.10/0.45 % Search garbage collected termcells : 29
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.011 s
% 0.10/0.45 % System time : 0.002 s
% 0.10/0.45 % Total time : 0.013 s
% 0.10/0.45 % Maximum resident set size: 3664 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.064 s
% 0.10/0.45 % System time : 0.015 s
% 0.10/0.45 % Total time : 0.079 s
% 0.10/0.45 % Maximum resident set size: 4608 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------