%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : COL099-2 : TPTP v9.3.1. Released v2.7.0.
% 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 12:10:07 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 7 unt; 0 nHn; 22 RR)
% Number of literals : 50 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(diamond_trancl_1c2,negated_conjecture,
( ~ member(pair(yp,X1),trancl(r))
| ~ member(pair(ya,X1),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).
cnf(r_into_trancl,axiom,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(diamond_strip_lemmaD1,axiom,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_trancl_1h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).
cnf(diamond_strip_lemmaD2,axiom,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_1c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
cnf(diamond_trancl_1h2,hypothesis,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
cnf(c_0_7,negated_conjecture,
( ~ member(pair(yp,X1),trancl(r))
| ~ member(pair(ya,X1),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_trancl_1c2]) ).
cnf(c_0_8,plain,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
inference(fof_simplification,[status(thm)],[r_into_trancl]) ).
cnf(c_0_9,negated_conjecture,
( ~ member(pair(yp,X1),trancl(r))
| ~ member(pair(ya,X1),trancl(r)) ),
c_0_7 ).
cnf(c_0_10,plain,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
c_0_8 ).
cnf(c_0_11,plain,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1)) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD1]) ).
cnf(c_0_12,negated_conjecture,
( ~ member(pair(yp,X1),r)
| ~ member(pair(ya,X1),trancl(r)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1)) ),
c_0_11 ).
cnf(c_0_14,hypothesis,
diamond(r),
diamond_trancl_1h1 ).
cnf(c_0_15,plain,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD2]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(pair(X1,ya),r)
| ~ member(pair(X1,X2),trancl(r))
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(X1,X2,ya,r)),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,plain,
( ~ member(pair(X2,X4),X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ diamond(X1)
| member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1) ),
c_0_15 ).
cnf(c_0_18,negated_conjecture,
( ~ member(pair(X1,ya),r)
| ~ member(pair(X1,yp),trancl(r)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]) ).
cnf(c_0_19,negated_conjecture,
member(pair(y,yp),trancl(r)),
diamond_trancl_1c1 ).
cnf(c_0_20,hypothesis,
member(pair(y,ya),r),
diamond_trancl_1h2 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL099-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 14:12:32 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.45 % Version: 3.5.1
% 0.13/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.45 % Starting sh5l with 300s (1) cores
% 0.13/0.45 % new_bool_3 with pid 314437 completed with status 0
% 0.13/0.45 % Result found by new_bool_3
% 0.13/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.45 % Search class: FHHSF-FFSS32-SFFFFFNN
% 0.13/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.45 % SubtermCWHack with pid 314440 completed with status 0
% 0.13/0.45 % Result found by SubtermCWHack
% 0.13/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.45 % Search class: FHHSF-FFSS32-SFFFFFNN
% 0.13/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.45 % Preprocessing time : 0.002 s
% 0.13/0.45
% 0.13/0.45 % Proof found!
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.13/0.45 % Parsed axioms : 157
% 0.13/0.45 % Removed by relevancy pruning/SinE : 146
% 0.13/0.45 % Initial clauses : 11
% 0.13/0.45 % Removed in clause preprocessing : 0
% 0.13/0.45 % Initial clauses in saturation : 11
% 0.13/0.45 % Processed clauses : 16
% 0.13/0.45 % ...of these trivial : 0
% 0.13/0.45 % ...subsumed : 0
% 0.13/0.45 % ...remaining for further processing : 16
% 0.13/0.45 % Other redundant clauses eliminated : 0
% 0.13/0.45 % Clauses deleted for lack of memory : 0
% 0.13/0.45 % Backward-subsumed : 0
% 0.13/0.45 % Backward-rewritten : 0
% 0.13/0.45 % Generated clauses : 12
% 0.13/0.45 % ...of the previous two non-redundant : 8
% 0.13/0.45 % ...aggressively subsumed : 0
% 0.13/0.45 % Contextual simplify-reflections : 0
% 0.13/0.45 % Paramodulations : 10
% 0.13/0.45 % Factorizations : 0
% 0.13/0.45 % NegExts : 0
% 0.13/0.45 % Equation resolutions : 2
% 0.13/0.45 % Disequality decompositions : 0
% 0.13/0.45 % Total rewrite steps : 5
% 0.13/0.45 % ...of those cached : 3
% 0.13/0.45 % Propositional unsat checks : 0
% 0.13/0.45 % Propositional check models : 0
% 0.13/0.45 % Propositional check unsatisfiable : 0
% 0.13/0.45 % Propositional clauses : 0
% 0.13/0.45 % Propositional clauses after purity: 0
% 0.13/0.45 % Propositional unsat core size : 0
% 0.13/0.45 % Propositional preprocessing time : 0.000
% 0.13/0.45 % Propositional encoding time : 0.000
% 0.13/0.45 % Propositional solver time : 0.000
% 0.13/0.45 % Success case prop preproc time : 0.000
% 0.13/0.45 % Success case prop encoding time : 0.000
% 0.13/0.45 % Success case prop solver time : 0.000
% 0.13/0.45 % Current number of processed clauses : 16
% 0.13/0.45 % Positive orientable unit clauses : 3
% 0.13/0.45 % Positive unorientable unit clauses: 0
% 0.13/0.45 % Negative unit clauses : 2
% 0.13/0.45 % Non-unit-clauses : 11
% 0.13/0.45 % Current number of unprocessed clauses: 3
% 0.13/0.45 % ...number of literals in the above : 11
% 0.13/0.45 % Current number of archived formulas : 0
% 0.13/0.45 % Current number of archived clauses : 0
% 0.13/0.45 % Clause-clause subsumption calls (NU) : 64
% 0.13/0.45 % Rec. Clause-clause subsumption calls : 52
% 0.13/0.45 % Non-unit clause-clause subsumptions : 0
% 0.13/0.45 % Unit Clause-clause subsumption calls : 1
% 0.13/0.45 % Rewrite failures with RHS unbound : 0
% 0.13/0.45 % BW rewrite match attempts : 0
% 0.13/0.45 % BW rewrite match successes : 0
% 0.13/0.45 % Condensation attempts : 0
% 0.13/0.45 % Condensation successes : 0
% 0.13/0.45 % Termbank termtop insertions : 1615
% 0.13/0.45 % Search garbage collected termcells : 642
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.005 s
% 0.13/0.45 % System time : 0.002 s
% 0.13/0.45 % Total time : 0.007 s
% 0.13/0.45 % Maximum resident set size: 3760 pages
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.008 s
% 0.13/0.45 % System time : 0.006 s
% 0.13/0.45 % Total time : 0.015 s
% 0.13/0.45 % Maximum resident set size: 4608 pages
% 0.13/0.45 % E exiting
%------------------------------------------------------------------------------