TSTP Solution File: CAT002-4 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : CAT002-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 18:59:07 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 36 ( 35 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cancellation_for_compose1,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(ab_h_equals_ab_g,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(associativity_of_compose,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(cancellation_for_compose2,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(c_0_5,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
inference(fof_simplification,[status(thm)],[cancellation_for_compose1]) ).
cnf(c_0_6,hypothesis,
( X1 = X3
| compose(a,X1) != X2
| compose(a,X3) != X2 ),
c_0_5 ).
cnf(c_0_7,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
ab_h_equals_ab_g ).
cnf(c_0_8,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
associativity_of_compose ).
cnf(c_0_9,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
inference(fof_simplification,[status(thm)],[cancellation_for_compose2]) ).
cnf(c_0_10,hypothesis,
( X1 = X2
| compose(a,X1) != compose(a,X2) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_12,hypothesis,
( X1 = X3
| compose(b,X1) != X2
| compose(b,X3) != X2 ),
c_0_9 ).
cnf(c_0_13,hypothesis,
( X1 = compose(b,g)
| compose(a,X1) != compose(a,compose(b,h)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
( X1 = X2
| compose(b,X1) != compose(b,X2) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
compose(b,g) = compose(b,h),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
g != h,
inference(fof_simplification,[status(thm)],[prove_g_equals_h]) ).
cnf(c_0_17,hypothesis,
( X1 = g
| compose(b,X1) != compose(b,h) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
g != h,
c_0_16 ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CAT002-4 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat May 18 11:34:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42 # Version: 3.1.0
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # new_bool_3 with pid 1821 completed with status 0
% 0.15/0.42 # Result found by new_bool_3
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FHUSF-FFSS22-SFFFFFNN
% 0.15/0.42 # partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42 # G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1827 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FHUSF-FFSS22-SFFFFFNN
% 0.15/0.42 # partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Unsatisfiable
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 17
% 0.15/0.42 # Removed by relevancy pruning/SinE : 10
% 0.15/0.42 # Initial clauses : 7
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 7
% 0.15/0.42 # Processed clauses : 20
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 0
% 0.15/0.42 # ...remaining for further processing : 20
% 0.15/0.42 # Other redundant clauses eliminated : 2
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 3
% 0.15/0.42 # Generated clauses : 13
% 0.15/0.42 # ...of the previous two non-redundant : 11
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 7
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 6
% 0.15/0.42 # Disequality decompositions : 0
% 0.15/0.42 # Total rewrite steps : 11
% 0.15/0.42 # ...of those cached : 2
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 8
% 0.15/0.42 # Positive orientable unit clauses : 4
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 1
% 0.15/0.42 # Non-unit-clauses : 3
% 0.15/0.42 # Current number of unprocessed clauses: 5
% 0.15/0.42 # ...number of literals in the above : 8
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 10
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 2
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 2
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 0
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 3
% 0.15/0.42 # BW rewrite match successes : 3
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 349
% 0.15/0.42 # Search garbage collected termcells : 49
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.002 s
% 0.15/0.42 # System time : 0.001 s
% 0.15/0.42 # Total time : 0.004 s
% 0.15/0.42 # Maximum resident set size: 1612 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.004 s
% 0.15/0.42 # System time : 0.003 s
% 0.15/0.42 # Total time : 0.006 s
% 0.15/0.42 # Maximum resident set size: 1708 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E exiting
%------------------------------------------------------------------------------