%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN622-1 : 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 : n001.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 03:35:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.56s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 15 unt; 0 nHn; 12 RR)
% Number of literals : 39 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_31,negated_conjecture,
( ~ p8(X2,X4)
| ~ p11(X1,X3)
| p8(f12(X1,X2),f12(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
cnf(p8_21,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).
cnf(p8_8,negated_conjecture,
p8(f16(X1,f17(X2,X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_8) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_24,negated_conjecture,
p8(f12(f13(c23),X1),f12(f13(c26),f16(c27,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_24) ).
cnf(not_p8_26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_26) ).
cnf(c_0_7,negated_conjecture,
( ~ p8(X2,X4)
| ~ p11(X1,X3)
| p8(f12(X1,X2),f12(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p8_31]) ).
cnf(c_0_8,negated_conjecture,
( ~ p8(X2,X4)
| ~ p11(X1,X3)
| p8(f12(X1,X2),f12(X3,X4)) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
p11(X1,X1),
p11_1 ).
cnf(c_0_10,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
inference(fof_simplification,[status(thm)],[p8_21]) ).
cnf(c_0_11,negated_conjecture,
( ~ p8(X2,X3)
| p8(f12(X1,X2),f12(X1,X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p8(f16(X1,f17(X2,X1)),X2),
p8_8 ).
cnf(c_0_13,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_15,negated_conjecture,
p8(f12(X1,f16(X2,f17(X3,X2))),f12(X1,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ p8(X2,X1)
| p8(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p8(f12(f13(c23),X1),f12(f13(c26),f16(c27,X1))),
p8_24 ).
cnf(c_0_18,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(fof_simplification,[status(thm)],[not_p8_26]) ).
cnf(c_0_19,negated_conjecture,
( ~ p8(f12(X2,f16(X4,f17(X3,X4))),X1)
| p8(X1,f12(X2,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p8(f12(f13(c26),f16(c27,X1)),f12(f13(c23),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
p8(f12(f13(c23),f17(X1,c27)),f12(f13(c26),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 11:15:49 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.56 % Version: 3.5.1
% 0.14/5.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.56 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.56 % Starting sh5l with 300s (1) cores
% 0.14/5.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2981027 completed with status 0
% 0.14/5.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/5.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.56 % No SInE strategy applied
% 0.14/5.56 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.14/5.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.56 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.56 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.56 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.56 % new_bool_3 with pid 2981035 completed with status 0
% 0.14/5.56 % Result found by new_bool_3
% 0.14/5.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.56 % No SInE strategy applied
% 0.14/5.56 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.14/5.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.56 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.56 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.56 % Preprocessing time : 0.002 s
% 0.14/5.56 % Presaturation interreduction done
% 0.14/5.56
% 0.14/5.56 % Proof found!
% 0.14/5.56 % SZS status Unsatisfiable
% 0.14/5.56 % SZS output start CNFRefutation
% See solution above
% 0.14/5.56 % Parsed axioms : 34
% 0.14/5.56 % Removed by relevancy pruning/SinE : 0
% 0.14/5.56 % Initial clauses : 34
% 0.14/5.56 % Removed in clause preprocessing : 0
% 0.14/5.56 % Initial clauses in saturation : 34
% 0.14/5.56 % Processed clauses : 1085
% 0.14/5.56 % ...of these trivial : 184
% 0.14/5.56 % ...subsumed : 3
% 0.14/5.56 % ...remaining for further processing : 898
% 0.14/5.56 % Other redundant clauses eliminated : 0
% 0.14/5.56 % Clauses deleted for lack of memory : 0
% 0.14/5.56 % Backward-subsumed : 0
% 0.14/5.56 % Backward-rewritten : 1
% 0.14/5.56 % Generated clauses : 6222
% 0.14/5.56 % ...of the previous two non-redundant : 5258
% 0.14/5.56 % ...aggressively subsumed : 0
% 0.14/5.56 % Contextual simplify-reflections : 0
% 0.14/5.56 % Paramodulations : 6222
% 0.14/5.56 % Factorizations : 0
% 0.14/5.56 % NegExts : 0
% 0.14/5.56 % Equation resolutions : 0
% 0.14/5.56 % Disequality decompositions : 0
% 0.14/5.56 % Total rewrite steps : 1116
% 0.14/5.56 % ...of those cached : 341
% 0.14/5.56 % Propositional unsat checks : 0
% 0.14/5.56 % Propositional check models : 0
% 0.14/5.56 % Propositional check unsatisfiable : 0
% 0.14/5.56 % Propositional clauses : 0
% 0.14/5.56 % Propositional clauses after purity: 0
% 0.14/5.56 % Propositional unsat core size : 0
% 0.14/5.56 % Propositional preprocessing time : 0.000
% 0.14/5.56 % Propositional encoding time : 0.000
% 0.14/5.56 % Propositional solver time : 0.000
% 0.14/5.56 % Success case prop preproc time : 0.000
% 0.14/5.56 % Success case prop encoding time : 0.000
% 0.14/5.56 % Success case prop solver time : 0.000
% 0.14/5.56 % Current number of processed clauses : 863
% 0.14/5.56 % Positive orientable unit clauses : 459
% 0.14/5.56 % Positive unorientable unit clauses: 0
% 0.14/5.56 % Negative unit clauses : 1
% 0.14/5.56 % Non-unit-clauses : 403
% 0.14/5.56 % Current number of unprocessed clauses: 4241
% 0.14/5.56 % ...number of literals in the above : 4537
% 0.14/5.56 % Current number of archived formulas : 0
% 0.14/5.56 % Current number of archived clauses : 35
% 0.14/5.56 % Clause-clause subsumption calls (NU) : 18059
% 0.14/5.56 % Rec. Clause-clause subsumption calls : 14644
% 0.14/5.56 % Non-unit clause-clause subsumptions : 3
% 0.14/5.56 % Unit Clause-clause subsumption calls : 2864
% 0.14/5.56 % Rewrite failures with RHS unbound : 0
% 0.14/5.56 % BW rewrite match attempts : 4638
% 0.14/5.56 % BW rewrite match successes : 1
% 0.14/5.56 % Condensation attempts : 0
% 0.14/5.56 % Condensation successes : 0
% 0.14/5.56 % Termbank termtop insertions : 118805
% 0.14/5.56 % Search garbage collected termcells : 95
% 0.14/5.56
% 0.14/5.56 % -------------------------------------------------
% 0.14/5.56 % User time : 0.108 s
% 0.14/5.56 % System time : 0.016 s
% 0.14/5.56 % Total time : 0.124 s
% 0.14/5.56 % Maximum resident set size: 3412 pages
% 0.14/5.56
% 0.14/5.56 % -------------------------------------------------
% 0.14/5.56 % User time : 0.571 s
% 0.14/5.56 % System time : 0.051 s
% 0.14/5.56 % Total time : 0.622 s
% 0.14/5.56 % Maximum resident set size: 4608 pages
% 0.14/5.56 % E exiting
%------------------------------------------------------------------------------