%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 03:23:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 28 RR)
% Number of literals : 47 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(rule_136,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
cnf(axiom_15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
cnf(rule_217,axiom,
( ~ m2(b)
| ~ n2(X1)
| l3(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_217) ).
cnf(rule_068,axiom,
( ~ k0(X1)
| p1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
cnf(prove_this,negated_conjecture,
~ l3(X1,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_137,axiom,
( ~ p1(X2,X3,X1)
| n2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(c_0_8,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_9,plain,
( ~ k1(b)
| m2(b) ),
inference(fof_simplification,[status(thm)],[rule_136]) ).
cnf(c_0_10,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_8 ).
cnf(c_0_11,axiom,
n0(a,b),
axiom_15 ).
cnf(c_0_12,plain,
( ~ m2(b)
| ~ n2(X1)
| l3(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_217]) ).
cnf(c_0_13,plain,
( ~ k1(b)
| m2(b) ),
c_0_9 ).
cnf(c_0_14,plain,
k1(b),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ k0(X1)
| p1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_068]) ).
cnf(c_0_16,negated_conjecture,
~ l3(X1,e),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_17,plain,
( ~ m2(b)
| ~ n2(X1)
| l3(X1,X1) ),
c_0_12 ).
cnf(c_0_18,plain,
m2(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_19,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
inference(fof_simplification,[status(thm)],[rule_137]) ).
cnf(c_0_20,plain,
( ~ k0(X1)
| p1(X1,X1,X1) ),
c_0_15 ).
cnf(c_0_21,axiom,
k0(e),
axiom_28 ).
cnf(c_0_22,negated_conjecture,
~ l3(X1,e),
c_0_16 ).
cnf(c_0_23,plain,
( ~ n2(X1)
| l3(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_24,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
c_0_19 ).
cnf(c_0_25,plain,
p1(e,e,e),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ n2(e),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:46:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.44 % Version: 3.5.1
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % Starting sh5l with 300s (1) cores
% 0.09/0.44 % new_bool_1 with pid 703562 completed with status 0
% 0.09/0.44 % Result found by new_bool_1
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.44 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.09/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.44 % SubtermCWHack with pid 703569 completed with status 0
% 0.09/0.44 % Result found by SubtermCWHack
% 0.09/0.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.44 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.09/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.44 % Preprocessing time : 0.004 s
% 0.09/0.44
% 0.09/0.44 % Proof found!
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44 % Parsed axioms : 369
% 0.09/0.44 % Removed by relevancy pruning/SinE : 30
% 0.09/0.44 % Initial clauses : 339
% 0.09/0.44 % Removed in clause preprocessing : 6
% 0.09/0.44 % Initial clauses in saturation : 333
% 0.09/0.44 % Processed clauses : 129
% 0.09/0.44 % ...of these trivial : 9
% 0.09/0.44 % ...subsumed : 1
% 0.09/0.44 % ...remaining for further processing : 119
% 0.09/0.44 % Other redundant clauses eliminated : 0
% 0.09/0.44 % Clauses deleted for lack of memory : 0
% 0.09/0.44 % Backward-subsumed : 2
% 0.09/0.44 % Backward-rewritten : 20
% 0.09/0.44 % Generated clauses : 61
% 0.09/0.44 % ...of the previous two non-redundant : 60
% 0.09/0.44 % ...aggressively subsumed : 0
% 0.09/0.44 % Contextual simplify-reflections : 0
% 0.09/0.44 % Paramodulations : 61
% 0.09/0.44 % Factorizations : 0
% 0.09/0.44 % NegExts : 0
% 0.09/0.44 % Equation resolutions : 0
% 0.09/0.44 % Disequality decompositions : 0
% 0.09/0.44 % Total rewrite steps : 44
% 0.09/0.44 % ...of those cached : 14
% 0.09/0.44 % Propositional unsat checks : 0
% 0.09/0.44 % Propositional check models : 0
% 0.09/0.44 % Propositional check unsatisfiable : 0
% 0.09/0.44 % Propositional clauses : 0
% 0.09/0.44 % Propositional clauses after purity: 0
% 0.09/0.44 % Propositional unsat core size : 0
% 0.09/0.44 % Propositional preprocessing time : 0.000
% 0.09/0.44 % Propositional encoding time : 0.000
% 0.09/0.44 % Propositional solver time : 0.000
% 0.09/0.44 % Success case prop preproc time : 0.000
% 0.09/0.44 % Success case prop encoding time : 0.000
% 0.09/0.44 % Success case prop solver time : 0.000
% 0.09/0.44 % Current number of processed clauses : 97
% 0.09/0.44 % Positive orientable unit clauses : 66
% 0.09/0.44 % Positive unorientable unit clauses: 0
% 0.09/0.44 % Negative unit clauses : 3
% 0.09/0.44 % Non-unit-clauses : 28
% 0.09/0.44 % Current number of unprocessed clauses: 255
% 0.09/0.44 % ...number of literals in the above : 822
% 0.09/0.44 % Current number of archived formulas : 0
% 0.09/0.44 % Current number of archived clauses : 22
% 0.09/0.44 % Clause-clause subsumption calls (NU) : 265
% 0.09/0.44 % Rec. Clause-clause subsumption calls : 236
% 0.09/0.44 % Non-unit clause-clause subsumptions : 3
% 0.09/0.44 % Unit Clause-clause subsumption calls : 30
% 0.09/0.44 % Rewrite failures with RHS unbound : 0
% 0.09/0.44 % BW rewrite match attempts : 20
% 0.09/0.44 % BW rewrite match successes : 18
% 0.09/0.44 % Condensation attempts : 0
% 0.09/0.44 % Condensation successes : 0
% 0.09/0.44 % Termbank termtop insertions : 11932
% 0.09/0.44 % Search garbage collected termcells : 1503
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.012 s
% 0.09/0.44 % System time : 0.007 s
% 0.09/0.44 % Total time : 0.019 s
% 0.09/0.44 % Maximum resident set size: 4472 pages
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.022 s
% 0.09/0.44 % System time : 0.008 s
% 0.09/0.44 % Total time : 0.030 s
% 0.09/0.44 % Maximum resident set size: 4864 pages
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------