%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN109-1 : 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 : n018.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 03:23:09 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 16 unt; 0 nHn; 26 RR)
% Number of literals : 60 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_029,axiom,
( ~ s0(X1)
| ~ p0(X1,X2)
| m1(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_029) ).
cnf(rule_110,axiom,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(rule_127,axiom,
( ~ k2(X4,X2)
| ~ k1(X4)
| ~ m1(X3,X2,X1)
| k2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_129,axiom,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(prove_this,negated_conjecture,
~ k2(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(c_0_10,plain,
( ~ s0(X1)
| ~ p0(X1,X2)
| m1(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_029]) ).
cnf(c_0_11,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_110]) ).
cnf(c_0_12,plain,
( ~ k2(X4,X2)
| ~ k1(X4)
| ~ m1(X3,X2,X1)
| k2(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_127]) ).
cnf(c_0_13,plain,
( ~ s0(X1)
| ~ p0(X1,X2)
| m1(X1,X2,X1) ),
c_0_10 ).
cnf(c_0_14,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_15,axiom,
s0(b),
axiom_5 ).
cnf(c_0_16,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_129]) ).
cnf(c_0_17,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
c_0_11 ).
cnf(c_0_18,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_19,plain,
( ~ k2(X4,X2)
| ~ k1(X4)
| ~ m1(X3,X2,X1)
| k2(X1,X2) ),
c_0_12 ).
cnf(c_0_20,plain,
m1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_21,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
c_0_16 ).
cnf(c_0_22,plain,
q1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_24,negated_conjecture,
~ k2(b,c),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_25,plain,
( ~ k1(X2)
| ~ k2(X2,X1)
| k2(b,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_23 ).
cnf(c_0_28,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_29,negated_conjecture,
~ k2(b,c),
c_0_24 ).
cnf(c_0_30,plain,
( ~ k1(X1)
| k2(b,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
k1(c),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 10:45:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.18/0.49 % Version: 3.5.1
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % new_bool_3 with pid 1677761 completed with status 0
% 0.18/0.49 % Result found by new_bool_3
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % SubtermCWHack with pid 1677767 completed with status 0
% 0.18/0.49 % Result found by SubtermCWHack
% 0.18/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % Preprocessing time : 0.004 s
% 0.18/0.49
% 0.18/0.49 % Proof found!
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49 % Parsed axioms : 369
% 0.18/0.49 % Removed by relevancy pruning/SinE : 41
% 0.18/0.49 % Initial clauses : 328
% 0.18/0.49 % Removed in clause preprocessing : 5
% 0.18/0.49 % Initial clauses in saturation : 323
% 0.18/0.49 % Processed clauses : 593
% 0.18/0.49 % ...of these trivial : 89
% 0.18/0.49 % ...subsumed : 14
% 0.18/0.49 % ...remaining for further processing : 490
% 0.18/0.49 % Other redundant clauses eliminated : 0
% 0.18/0.49 % Clauses deleted for lack of memory : 0
% 0.18/0.49 % Backward-subsumed : 33
% 0.18/0.49 % Backward-rewritten : 160
% 0.18/0.49 % Generated clauses : 621
% 0.18/0.49 % ...of the previous two non-redundant : 432
% 0.18/0.49 % ...aggressively subsumed : 0
% 0.18/0.49 % Contextual simplify-reflections : 1
% 0.18/0.49 % Paramodulations : 621
% 0.18/0.49 % Factorizations : 0
% 0.18/0.49 % NegExts : 0
% 0.18/0.49 % Equation resolutions : 0
% 0.18/0.49 % Disequality decompositions : 0
% 0.18/0.49 % Total rewrite steps : 597
% 0.18/0.49 % ...of those cached : 363
% 0.18/0.49 % Propositional unsat checks : 0
% 0.18/0.49 % Propositional check models : 0
% 0.18/0.49 % Propositional check unsatisfiable : 0
% 0.18/0.49 % Propositional clauses : 0
% 0.18/0.49 % Propositional clauses after purity: 0
% 0.18/0.49 % Propositional unsat core size : 0
% 0.18/0.49 % Propositional preprocessing time : 0.000
% 0.18/0.49 % Propositional encoding time : 0.000
% 0.18/0.49 % Propositional solver time : 0.000
% 0.18/0.49 % Success case prop preproc time : 0.000
% 0.18/0.49 % Success case prop encoding time : 0.000
% 0.18/0.49 % Success case prop solver time : 0.000
% 0.18/0.49 % Current number of processed clauses : 297
% 0.18/0.49 % Positive orientable unit clauses : 149
% 0.18/0.49 % Positive unorientable unit clauses: 0
% 0.18/0.49 % Negative unit clauses : 1
% 0.18/0.49 % Non-unit-clauses : 147
% 0.18/0.49 % Current number of unprocessed clauses: 106
% 0.18/0.49 % ...number of literals in the above : 391
% 0.18/0.49 % Current number of archived formulas : 0
% 0.18/0.49 % Current number of archived clauses : 193
% 0.18/0.49 % Clause-clause subsumption calls (NU) : 6445
% 0.18/0.49 % Rec. Clause-clause subsumption calls : 5789
% 0.18/0.49 % Non-unit clause-clause subsumptions : 39
% 0.18/0.49 % Unit Clause-clause subsumption calls : 567
% 0.18/0.49 % Rewrite failures with RHS unbound : 0
% 0.18/0.49 % BW rewrite match attempts : 238
% 0.18/0.49 % BW rewrite match successes : 139
% 0.18/0.49 % Condensation attempts : 0
% 0.18/0.49 % Condensation successes : 0
% 0.18/0.49 % Termbank termtop insertions : 17793
% 0.18/0.49 % Search garbage collected termcells : 1514
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.033 s
% 0.18/0.49 % System time : 0.007 s
% 0.18/0.49 % Total time : 0.040 s
% 0.18/0.49 % Maximum resident set size: 4472 pages
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.037 s
% 0.18/0.49 % System time : 0.015 s
% 0.18/0.49 % Total time : 0.052 s
% 0.18/0.49 % Maximum resident set size: 5120 pages
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------