%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN108-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 03:23:08 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.46s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_100,axiom,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_100) ).
cnf(rule_129,axiom,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(prove_this,negated_conjecture,
~ k2(a,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_4,plain,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_100]) ).
cnf(c_0_5,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_129]) ).
cnf(c_0_6,plain,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
c_0_4 ).
cnf(c_0_7,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_8,negated_conjecture,
~ k2(a,X1),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_9,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
c_0_5 ).
cnf(c_0_10,plain,
q1(a,a,a),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ k2(a,X1),
c_0_8 ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN108-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 10:45:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.25/0.46 % Version: 3.5.1
% 0.25/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.46 % Starting sh5l with 300s (1) cores
% 0.25/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4086363 completed with status 0
% 0.25/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.25/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.46 % No SInE strategy applied
% 0.25/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.25/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.25/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.46 % SubtermCWHack with pid 4086367 completed with status 0
% 0.25/0.46 % Result found by SubtermCWHack
% 0.25/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.25/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.25/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.46 % No SInE strategy applied
% 0.25/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.25/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.46 % Preprocessing time : 0.003 s
% 0.25/0.46
% 0.25/0.46 % Proof found!
% 0.25/0.46 % SZS status Unsatisfiable
% 0.25/0.46 % SZS output start CNFRefutation
% See solution above
% 0.25/0.46 % Parsed axioms : 369
% 0.25/0.46 % Removed by relevancy pruning/SinE : 0
% 0.25/0.46 % Initial clauses : 369
% 0.25/0.46 % Removed in clause preprocessing : 7
% 0.25/0.46 % Initial clauses in saturation : 362
% 0.25/0.46 % Processed clauses : 217
% 0.25/0.46 % ...of these trivial : 12
% 0.25/0.46 % ...subsumed : 3
% 0.25/0.46 % ...remaining for further processing : 202
% 0.25/0.46 % Other redundant clauses eliminated : 0
% 0.25/0.46 % Clauses deleted for lack of memory : 0
% 0.25/0.46 % Backward-subsumed : 9
% 0.25/0.46 % Backward-rewritten : 70
% 0.25/0.46 % Generated clauses : 153
% 0.25/0.46 % ...of the previous two non-redundant : 112
% 0.25/0.46 % ...aggressively subsumed : 0
% 0.25/0.46 % Contextual simplify-reflections : 0
% 0.25/0.46 % Paramodulations : 153
% 0.25/0.46 % Factorizations : 0
% 0.25/0.46 % NegExts : 0
% 0.25/0.46 % Equation resolutions : 0
% 0.25/0.46 % Disequality decompositions : 0
% 0.25/0.46 % Total rewrite steps : 147
% 0.25/0.46 % ...of those cached : 53
% 0.25/0.46 % Propositional unsat checks : 0
% 0.25/0.46 % Propositional check models : 0
% 0.25/0.46 % Propositional check unsatisfiable : 0
% 0.25/0.46 % Propositional clauses : 0
% 0.25/0.46 % Propositional clauses after purity: 0
% 0.25/0.46 % Propositional unsat core size : 0
% 0.25/0.46 % Propositional preprocessing time : 0.000
% 0.25/0.46 % Propositional encoding time : 0.000
% 0.25/0.46 % Propositional solver time : 0.000
% 0.25/0.46 % Success case prop preproc time : 0.000
% 0.25/0.46 % Success case prop encoding time : 0.000
% 0.25/0.46 % Success case prop solver time : 0.000
% 0.25/0.46 % Current number of processed clauses : 123
% 0.25/0.46 % Positive orientable unit clauses : 81
% 0.25/0.46 % Positive unorientable unit clauses: 0
% 0.25/0.46 % Negative unit clauses : 1
% 0.25/0.46 % Non-unit-clauses : 41
% 0.25/0.46 % Current number of unprocessed clauses: 246
% 0.25/0.46 % ...number of literals in the above : 822
% 0.25/0.46 % Current number of archived formulas : 0
% 0.25/0.46 % Current number of archived clauses : 79
% 0.25/0.46 % Clause-clause subsumption calls (NU) : 1335
% 0.25/0.46 % Rec. Clause-clause subsumption calls : 1055
% 0.25/0.46 % Non-unit clause-clause subsumptions : 6
% 0.25/0.46 % Unit Clause-clause subsumption calls : 261
% 0.25/0.46 % Rewrite failures with RHS unbound : 0
% 0.25/0.46 % BW rewrite match attempts : 78
% 0.25/0.46 % BW rewrite match successes : 61
% 0.25/0.46 % Condensation attempts : 0
% 0.25/0.46 % Condensation successes : 0
% 0.25/0.46 % Termbank termtop insertions : 13534
% 0.25/0.46 % Search garbage collected termcells : 1461
% 0.25/0.46
% 0.25/0.46 % -------------------------------------------------
% 0.25/0.46 % User time : 0.011 s
% 0.25/0.46 % System time : 0.006 s
% 0.25/0.46 % Total time : 0.017 s
% 0.25/0.46 % Maximum resident set size: 4472 pages
% 0.25/0.46
% 0.25/0.46 % -------------------------------------------------
% 0.25/0.46 % User time : 0.037 s
% 0.25/0.46 % System time : 0.019 s
% 0.25/0.46 % Total time : 0.055 s
% 0.25/0.46 % Maximum resident set size: 4864 pages
% 0.25/0.46 % E exiting
%------------------------------------------------------------------------------