TSTP Solution File: GRP169-2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP169-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 07:50:02 EDT 2024
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 26 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',left_identity) ).
cnf(monotony_glb2,axiom,
multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',monotony_glb2) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',symmetry_of_glb) ).
cnf(monotony_glb1,axiom,
multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',monotony_glb1) ).
cnf(p02b_1,hypothesis,
greatest_lower_bound(inverse(a),inverse(b)) = inverse(a),
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',p02b_1) ).
cnf(prove_p02b,negated_conjecture,
greatest_lower_bound(a,b) != b,
file('/export/starexec/sandbox/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p',prove_p02b) ).
cnf(c_0_8,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_9,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_10,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_11,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_13,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_14,axiom,
multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
monotony_glb2 ).
cnf(c_0_15,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
symmetry_of_glb ).
cnf(c_0_16,axiom,
multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
monotony_glb1 ).
cnf(c_0_17,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
multiply(greatest_lower_bound(X1,inverse(X2)),X2) = greatest_lower_bound(identity,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_15]) ).
cnf(c_0_19,hypothesis,
greatest_lower_bound(inverse(a),inverse(b)) = inverse(a),
p02b_1 ).
cnf(c_0_20,plain,
greatest_lower_bound(identity,multiply(inverse(X1),X2)) = multiply(inverse(X1),greatest_lower_bound(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_15]) ).
cnf(c_0_21,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
greatest_lower_bound(a,b) != b,
inference(fof_simplification,[status(thm)],[prove_p02b]) ).
cnf(c_0_23,hypothesis,
multiply(inverse(a),greatest_lower_bound(a,b)) = multiply(inverse(a),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_15]) ).
cnf(c_0_24,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
greatest_lower_bound(a,b) != b,
c_0_22 ).
cnf(c_0_26,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_21]),c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP169-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:57:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.44 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/tmp/tmp.nqBkYWfzF8/E---3.1_8118.p
% 0.16/0.47 # Version: 3.1.0
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8200 completed with status 0
% 0.16/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # No SInE strategy applied
% 0.16/0.47 # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.16/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.47 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.47 # Starting sh5l with 136s (1) cores
% 0.16/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8205 completed with status 0
% 0.16/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 # No SInE strategy applied
% 0.16/0.47 # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.16/0.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.47 # Preprocessing time : 0.001 s
% 0.16/0.47 # Presaturation interreduction done
% 0.16/0.47
% 0.16/0.47 # Proof found!
% 0.16/0.47 # SZS status Unsatisfiable
% 0.16/0.47 # SZS output start CNFRefutation
% See solution above
% 0.16/0.47 # Parsed axioms : 17
% 0.16/0.47 # Removed by relevancy pruning/SinE : 0
% 0.16/0.47 # Initial clauses : 17
% 0.16/0.47 # Removed in clause preprocessing : 0
% 0.16/0.47 # Initial clauses in saturation : 17
% 0.16/0.47 # Processed clauses : 367
% 0.16/0.47 # ...of these trivial : 90
% 0.16/0.47 # ...subsumed : 158
% 0.16/0.47 # ...remaining for further processing : 119
% 0.16/0.47 # Other redundant clauses eliminated : 0
% 0.16/0.47 # Clauses deleted for lack of memory : 0
% 0.16/0.47 # Backward-subsumed : 0
% 0.16/0.47 # Backward-rewritten : 8
% 0.16/0.47 # Generated clauses : 3238
% 0.16/0.47 # ...of the previous two non-redundant : 2076
% 0.16/0.47 # ...aggressively subsumed : 0
% 0.16/0.47 # Contextual simplify-reflections : 0
% 0.16/0.47 # Paramodulations : 3238
% 0.16/0.47 # Factorizations : 0
% 0.16/0.47 # NegExts : 0
% 0.16/0.47 # Equation resolutions : 0
% 0.16/0.47 # Disequality decompositions : 0
% 0.16/0.47 # Total rewrite steps : 3165
% 0.16/0.47 # ...of those cached : 2075
% 0.16/0.47 # Propositional unsat checks : 0
% 0.16/0.47 # Propositional check models : 0
% 0.16/0.47 # Propositional check unsatisfiable : 0
% 0.16/0.47 # Propositional clauses : 0
% 0.16/0.47 # Propositional clauses after purity: 0
% 0.16/0.47 # Propositional unsat core size : 0
% 0.16/0.47 # Propositional preprocessing time : 0.000
% 0.16/0.47 # Propositional encoding time : 0.000
% 0.16/0.47 # Propositional solver time : 0.000
% 0.16/0.47 # Success case prop preproc time : 0.000
% 0.16/0.47 # Success case prop encoding time : 0.000
% 0.16/0.47 # Success case prop solver time : 0.000
% 0.16/0.47 # Current number of processed clauses : 94
% 0.16/0.47 # Positive orientable unit clauses : 84
% 0.16/0.47 # Positive unorientable unit clauses: 9
% 0.16/0.47 # Negative unit clauses : 1
% 0.16/0.47 # Non-unit-clauses : 0
% 0.16/0.47 # Current number of unprocessed clauses: 1732
% 0.16/0.47 # ...number of literals in the above : 1732
% 0.16/0.47 # Current number of archived formulas : 0
% 0.16/0.47 # Current number of archived clauses : 25
% 0.16/0.47 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.47 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.47 # Non-unit clause-clause subsumptions : 0
% 0.16/0.47 # Unit Clause-clause subsumption calls : 22
% 0.16/0.47 # Rewrite failures with RHS unbound : 0
% 0.16/0.47 # BW rewrite match attempts : 180
% 0.16/0.47 # BW rewrite match successes : 132
% 0.16/0.47 # Condensation attempts : 0
% 0.16/0.47 # Condensation successes : 0
% 0.16/0.47 # Termbank termtop insertions : 27960
% 0.16/0.47 # Search garbage collected termcells : 2
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.031 s
% 0.16/0.47 # System time : 0.001 s
% 0.16/0.47 # Total time : 0.032 s
% 0.16/0.47 # Maximum resident set size: 1568 pages
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.152 s
% 0.16/0.47 # System time : 0.004 s
% 0.16/0.47 # Total time : 0.156 s
% 0.16/0.47 # Maximum resident set size: 1688 pages
% 0.16/0.47 % E---3.1 exiting
% 0.16/0.48 % E exiting
%------------------------------------------------------------------------------