%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL099-1 : 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 : n004.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 12:09:36 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.44s
% Output : CNFRefutation 0.15s
% 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 : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.38 % Computer : n004.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 14:10:40 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.44 % Version: 3.5.1
% 0.15/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.44 % Starting sh5l with 300s (1) cores
% 0.15/5.44 % new_bool_1 with pid 3336715 completed with status 0
% 0.15/5.44 % Result found by new_bool_1
% 0.15/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.44 % Search class: FHHNF-FFSS32-SFFFFFNN
% 0.15/5.44 % partial match(1): FHUNF-FFSS32-SFFFFFNN
% 0.15/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.44 % SubtermCWHack with pid 3336721 completed with status 0
% 0.15/5.44 % Result found by SubtermCWHack
% 0.15/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.44 % Search class: FHHNF-FFSS32-SFFFFFNN
% 0.15/5.44 % partial match(1): FHUNF-FFSS32-SFFFFFNN
% 0.15/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.44 % Preprocessing time : 0.001 s
% 0.15/5.44
% 0.15/5.44 % Proof found!
% 0.15/5.44 % SZS status Unsatisfiable
% 0.15/5.44 % SZS output start CNFRefutation
% See solution above
% 0.15/5.44 % Parsed axioms : 15
% 0.15/5.44 % Removed by relevancy pruning/SinE : 8
% 0.15/5.44 % Initial clauses : 7
% 0.15/5.44 % Removed in clause preprocessing : 0
% 0.15/5.44 % Initial clauses in saturation : 7
% 0.15/5.44 % Processed clauses : 13
% 0.15/5.44 % ...of these trivial : 0
% 0.15/5.44 % ...subsumed : 0
% 0.15/5.44 % ...remaining for further processing : 13
% 0.15/5.44 % Other redundant clauses eliminated : 0
% 0.15/5.44 % Clauses deleted for lack of memory : 0
% 0.15/5.44 % Backward-subsumed : 0
% 0.15/5.44 % Backward-rewritten : 0
% 0.15/5.44 % Generated clauses : 11
% 0.15/5.44 % ...of the previous two non-redundant : 9
% 0.15/5.44 % ...aggressively subsumed : 0
% 0.15/5.44 % Contextual simplify-reflections : 0
% 0.15/5.44 % Paramodulations : 11
% 0.15/5.44 % Factorizations : 0
% 0.15/5.44 % NegExts : 0
% 0.15/5.44 % Equation resolutions : 0
% 0.15/5.44 % Disequality decompositions : 0
% 0.15/5.44 % Total rewrite steps : 5
% 0.15/5.44 % ...of those cached : 3
% 0.15/5.44 % Propositional unsat checks : 0
% 0.15/5.44 % Propositional check models : 0
% 0.15/5.44 % Propositional check unsatisfiable : 0
% 0.15/5.44 % Propositional clauses : 0
% 0.15/5.44 % Propositional clauses after purity: 0
% 0.15/5.44 % Propositional unsat core size : 0
% 0.15/5.44 % Propositional preprocessing time : 0.000
% 0.15/5.44 % Propositional encoding time : 0.000
% 0.15/5.44 % Propositional solver time : 0.000
% 0.15/5.44 % Success case prop preproc time : 0.000
% 0.15/5.44 % Success case prop encoding time : 0.000
% 0.15/5.44 % Success case prop solver time : 0.000
% 0.15/5.44 % Current number of processed clauses : 13
% 0.15/5.44 % Positive orientable unit clauses : 3
% 0.15/5.44 % Positive unorientable unit clauses: 0
% 0.15/5.44 % Negative unit clauses : 0
% 0.15/5.44 % Non-unit-clauses : 10
% 0.15/5.44 % Current number of unprocessed clauses: 3
% 0.15/5.44 % ...number of literals in the above : 11
% 0.15/5.44 % Current number of archived formulas : 0
% 0.15/5.44 % Current number of archived clauses : 0
% 0.15/5.44 % Clause-clause subsumption calls (NU) : 58
% 0.15/5.44 % Rec. Clause-clause subsumption calls : 29
% 0.15/5.44 % Non-unit clause-clause subsumptions : 0
% 0.15/5.44 % Unit Clause-clause subsumption calls : 0
% 0.15/5.44 % Rewrite failures with RHS unbound : 0
% 0.15/5.44 % BW rewrite match attempts : 0
% 0.15/5.44 % BW rewrite match successes : 0
% 0.15/5.44 % Condensation attempts : 0
% 0.15/5.44 % Condensation successes : 0
% 0.15/5.44 % Termbank termtop insertions : 612
% 0.15/5.44 % Search garbage collected termcells : 51
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.002 s
% 0.15/5.44 % System time : 0.004 s
% 0.15/5.44 % Total time : 0.005 s
% 0.15/5.44 % Maximum resident set size: 3640 pages
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.005 s
% 0.15/5.44 % System time : 0.007 s
% 0.15/5.44 % Total time : 0.012 s
% 0.15/5.44 % Maximum resident set size: 4608 pages
% 0.15/5.44 % E exiting
%------------------------------------------------------------------------------