TSTP Solution File: CAT004-3 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : Sat May 4 07:27:40 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 9 unt; 0 nHn; 19 RR)
% Number of literals : 39 ( 38 equ; 21 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 : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cancellation_for_product2,hypothesis,
( X1 = X3
| compose(X1,b) != X2
| compose(X3,b) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.o4JGJUjygh/E---3.1_1566.p',cancellation_for_product2) ).
cnf(associativity_of_compose,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.o4JGJUjygh/E---3.1_1566.p',associativity_of_compose) ).
cnf(h_ab_equals_g_ab,hypothesis,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox/tmp/tmp.o4JGJUjygh/E---3.1_1566.p',h_ab_equals_g_ab) ).
cnf(cancellation_for_product1,hypothesis,
( X1 = X3
| compose(X1,a) != X2
| compose(X3,a) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.o4JGJUjygh/E---3.1_1566.p',cancellation_for_product1) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g,
file('/export/starexec/sandbox/tmp/tmp.o4JGJUjygh/E---3.1_1566.p',prove_h_equals_g) ).
cnf(c_0_5,hypothesis,
( X1 = X3
| compose(X1,b) != X2
| compose(X3,b) != X2 ),
inference(fof_simplification,[status(thm)],[cancellation_for_product2]) ).
cnf(c_0_6,hypothesis,
( X1 = X3
| compose(X1,b) != X2
| compose(X3,b) != X2 ),
c_0_5 ).
cnf(c_0_7,hypothesis,
( X1 = X2
| compose(X1,b) != compose(X2,b) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_8,axiom,
compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3),
associativity_of_compose ).
cnf(c_0_9,hypothesis,
( X1 = compose(X2,X3)
| compose(X1,b) != compose(X2,compose(X3,b)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,hypothesis,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
h_ab_equals_g_ab ).
cnf(c_0_11,hypothesis,
( X1 = X3
| compose(X1,a) != X2
| compose(X3,a) != X2 ),
inference(fof_simplification,[status(thm)],[cancellation_for_product1]) ).
cnf(c_0_12,hypothesis,
( X1 = compose(g,a)
| compose(X1,b) != compose(h,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
( X1 = X3
| compose(X1,a) != X2
| compose(X3,a) != X2 ),
c_0_11 ).
cnf(c_0_14,hypothesis,
( compose(X1,X2) = compose(g,a)
| compose(X1,compose(X2,b)) != compose(h,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,hypothesis,
( X1 = X2
| compose(X1,a) != compose(X2,a) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_16,hypothesis,
compose(g,a) = compose(h,a),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
h != g,
inference(fof_simplification,[status(thm)],[prove_h_equals_g]) ).
cnf(c_0_18,hypothesis,
( X1 = g
| compose(X1,a) != compose(h,a) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
h != g,
c_0_17 ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 11:12:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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/tmp/tmp.o4JGJUjygh/E---3.1_1566.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # new_bool_3 with pid 1644 completed with status 0
% 0.19/0.48 # Result found by new_bool_3
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FHUSF-FFSS22-SFFFFFNN
% 0.19/0.48 # partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48 # G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1647 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FHUSF-FFSS22-SFFFFFNN
% 0.19/0.48 # partial match(1): FHUSM-FFSS22-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Unsatisfiable
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 23
% 0.19/0.49 # Removed by relevancy pruning/SinE : 16
% 0.19/0.49 # Initial clauses : 7
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 7
% 0.19/0.49 # Processed clauses : 26
% 0.19/0.49 # ...of these trivial : 0
% 0.19/0.49 # ...subsumed : 2
% 0.19/0.49 # ...remaining for further processing : 24
% 0.19/0.49 # Other redundant clauses eliminated : 2
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 2
% 0.19/0.49 # Generated clauses : 34
% 0.19/0.49 # ...of the previous two non-redundant : 30
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 28
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 6
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 21
% 0.19/0.49 # ...of those cached : 6
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 13
% 0.19/0.49 # Positive orientable unit clauses : 6
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 1
% 0.19/0.49 # Non-unit-clauses : 6
% 0.19/0.49 # Current number of unprocessed clauses: 18
% 0.19/0.49 # ...number of literals in the above : 35
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 9
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 15
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 15
% 0.19/0.49 # Non-unit clause-clause subsumptions : 2
% 0.19/0.49 # Unit Clause-clause subsumption calls : 0
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 1
% 0.19/0.49 # BW rewrite match successes : 1
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 683
% 0.19/0.49 # Search garbage collected termcells : 69
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.001 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.004 s
% 0.19/0.49 # Maximum resident set size: 1760 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.001 s
% 0.19/0.49 # System time : 0.006 s
% 0.19/0.49 # Total time : 0.007 s
% 0.19/0.49 # Maximum resident set size: 1700 pages
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------