TSTP Solution File: COL100-2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COL100-2 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:03:17 EDT 2024
% Result : Unsatisfiable 8.55s 1.62s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 11 unt; 0 nHn; 35 RR)
% Number of literals : 83 ( 0 equ; 52 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 65 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transD,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
cnf(r_into_trancl,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(diamond_trancl_2h5,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
cnf(trans_trancl,axiom,
trans(trancl(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
cnf(diamond_trancl_2c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
cnf(diamond_trancl_2c2,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
cnf(diamond_strip_lemmaD1,axiom,
( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_trancl_2h1,hypothesis,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
cnf(diamond_strip_lemmaD2,axiom,
( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_2h4,hypothesis,
( member(pair(ya,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
cnf(diamond_trancl_2h3,hypothesis,
member(pair(ya,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
cnf(c_0_11,plain,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
inference(fof_simplification,[status(thm)],[transD]) ).
cnf(c_0_12,plain,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[r_into_trancl]) ).
cnf(c_0_13,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_trancl_2h5]) ).
cnf(c_0_14,plain,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
c_0_11 ).
cnf(c_0_15,plain,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
c_0_12 ).
cnf(c_0_16,axiom,
trans(trancl(X1)),
trans_trancl ).
cnf(c_0_17,hypothesis,
( member(pair(X1,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
member(pair(y,yp),trancl(r)),
diamond_trancl_2c1 ).
cnf(c_0_19,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_trancl_2c2]) ).
cnf(c_0_20,plain,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X4),trancl(X3))
| ~ member(pair(X4,X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
member(pair(yp,sk1(yp)),trancl(r)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(yp,X1),trancl(r)) ),
c_0_19 ).
cnf(c_0_23,negated_conjecture,
( member(pair(yp,X1),trancl(r))
| ~ member(pair(sk1(yp),X1),r) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD1]) ).
cnf(c_0_25,negated_conjecture,
( ~ member(pair(z,X1),trancl(r))
| ~ member(pair(sk1(yp),X1),r) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
c_0_24 ).
cnf(c_0_27,hypothesis,
diamond(r),
diamond_trancl_2h1 ).
cnf(c_0_28,plain,
( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD2]) ).
cnf(c_0_29,hypothesis,
( member(pair(ya,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_trancl_2h4]) ).
cnf(c_0_30,negated_conjecture,
( ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(X1,X2,z,r)),r)
| ~ member(pair(X1,X2),trancl(r))
| ~ member(pair(X1,z),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_31,plain,
( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
| ~ diamond(X1)
| ~ member(pair(X2,X3),trancl(X1))
| ~ member(pair(X2,X4),X1) ),
c_0_28 ).
cnf(c_0_32,hypothesis,
( member(pair(ya,sk1(X1)),trancl(r))
| ~ member(pair(y,X1),trancl(r)) ),
c_0_29 ).
cnf(c_0_33,negated_conjecture,
( ~ member(pair(X1,sk1(yp)),trancl(r))
| ~ member(pair(X1,z),r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27])]) ).
cnf(c_0_34,negated_conjecture,
member(pair(ya,sk1(yp)),trancl(r)),
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_35,hypothesis,
member(pair(ya,z),r),
diamond_trancl_2h3 ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL100-2 : TPTP v8.2.0. Released v2.7.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 13:02:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.52 Running first-order model finding
% 0.20/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/1.62 # Version: 3.1.0
% 8.55/1.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.62 # Starting new_bool_3 with 300s (1) cores
% 8.55/1.62 # Starting new_bool_1 with 300s (1) cores
% 8.55/1.62 # Starting sh5l with 300s (1) cores
% 8.55/1.62 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8982 completed with status 0
% 8.55/1.62 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 8.55/1.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.62 # No SInE strategy applied
% 8.55/1.62 # Search class: FGHSM-FFLS31-SFFFFFNN
% 8.55/1.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.55/1.62 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 811s (1) cores
% 8.55/1.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 8.55/1.62 # Starting new_bool_3 with 136s (1) cores
% 8.55/1.62 # Starting new_bool_1 with 136s (1) cores
% 8.55/1.62 # Starting sh5l with 136s (1) cores
% 8.55/1.62 # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 8989 completed with status 0
% 8.55/1.62 # Result found by G-E--_300_C01_F1_SE_CS_SP_S0Y
% 8.55/1.62 # Preprocessing class: FSLSSMSMSSSNFFN.
% 8.55/1.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.55/1.62 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.55/1.62 # No SInE strategy applied
% 8.55/1.62 # Search class: FGHSM-FFLS31-SFFFFFNN
% 8.55/1.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 8.55/1.62 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 811s (1) cores
% 8.55/1.62 # Preprocessing time : 0.002 s
% 8.55/1.62
% 8.55/1.62 # Proof found!
% 8.55/1.62 # SZS status Unsatisfiable
% 8.55/1.62 # SZS output start CNFRefutation
% See solution above
% 8.55/1.62 # Parsed axioms : 160
% 8.55/1.62 # Removed by relevancy pruning/SinE : 0
% 8.55/1.62 # Initial clauses : 160
% 8.55/1.62 # Removed in clause preprocessing : 4
% 8.55/1.62 # Initial clauses in saturation : 156
% 8.55/1.62 # Processed clauses : 3433
% 8.55/1.62 # ...of these trivial : 358
% 8.55/1.62 # ...subsumed : 716
% 8.55/1.62 # ...remaining for further processing : 2359
% 8.55/1.62 # Other redundant clauses eliminated : 33
% 8.55/1.62 # Clauses deleted for lack of memory : 0
% 8.55/1.62 # Backward-subsumed : 31
% 8.55/1.62 # Backward-rewritten : 57
% 8.55/1.62 # Generated clauses : 64387
% 8.55/1.62 # ...of the previous two non-redundant : 56357
% 8.55/1.62 # ...aggressively subsumed : 0
% 8.55/1.62 # Contextual simplify-reflections : 0
% 8.55/1.62 # Paramodulations : 64342
% 8.55/1.62 # Factorizations : 0
% 8.55/1.62 # NegExts : 0
% 8.55/1.62 # Equation resolutions : 45
% 8.55/1.62 # Disequality decompositions : 0
% 8.55/1.62 # Total rewrite steps : 9151
% 8.55/1.62 # ...of those cached : 7589
% 8.55/1.62 # Propositional unsat checks : 0
% 8.55/1.62 # Propositional check models : 0
% 8.55/1.62 # Propositional check unsatisfiable : 0
% 8.55/1.62 # Propositional clauses : 0
% 8.55/1.62 # Propositional clauses after purity: 0
% 8.55/1.62 # Propositional unsat core size : 0
% 8.55/1.62 # Propositional preprocessing time : 0.000
% 8.55/1.62 # Propositional encoding time : 0.000
% 8.55/1.62 # Propositional solver time : 0.000
% 8.55/1.62 # Success case prop preproc time : 0.000
% 8.55/1.62 # Success case prop encoding time : 0.000
% 8.55/1.62 # Success case prop solver time : 0.000
% 8.55/1.62 # Current number of processed clauses : 2266
% 8.55/1.62 # Positive orientable unit clauses : 1428
% 8.55/1.62 # Positive unorientable unit clauses: 0
% 8.55/1.62 # Negative unit clauses : 33
% 8.55/1.62 # Non-unit-clauses : 805
% 8.55/1.62 # Current number of unprocessed clauses: 52892
% 8.55/1.62 # ...number of literals in the above : 85981
% 8.55/1.62 # Current number of archived formulas : 0
% 8.55/1.62 # Current number of archived clauses : 88
% 8.55/1.62 # Clause-clause subsumption calls (NU) : 188872
% 8.55/1.62 # Rec. Clause-clause subsumption calls : 96513
% 8.55/1.62 # Non-unit clause-clause subsumptions : 399
% 8.55/1.62 # Unit Clause-clause subsumption calls : 225056
% 8.55/1.62 # Rewrite failures with RHS unbound : 0
% 8.55/1.62 # BW rewrite match attempts : 47296
% 8.55/1.62 # BW rewrite match successes : 40
% 8.55/1.62 # Condensation attempts : 0
% 8.55/1.62 # Condensation successes : 0
% 8.55/1.62 # Termbank termtop insertions : 990632
% 8.55/1.62 # Search garbage collected termcells : 327
% 8.55/1.62
% 8.55/1.62 # -------------------------------------------------
% 8.55/1.62 # User time : 1.031 s
% 8.55/1.62 # System time : 0.051 s
% 8.55/1.62 # Total time : 1.082 s
% 8.55/1.62 # Maximum resident set size: 2008 pages
% 8.55/1.62
% 8.55/1.62 # -------------------------------------------------
% 8.55/1.62 # User time : 5.304 s
% 8.55/1.62 # System time : 0.099 s
% 8.55/1.62 # Total time : 5.403 s
% 8.55/1.62 # Maximum resident set size: 1820 pages
% 8.55/1.62 % E---3.1 exiting
%------------------------------------------------------------------------------