TSTP Solution File: GRP477-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:48:40 EDT 2023
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 5 RR)
% Number of literals : 34 ( 33 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
file('/export/starexec/sandbox/tmp/tmp.qI0JF7LN8m/E---3.1_19798.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/tmp/tmp.qI0JF7LN8m/E---3.1_19798.p',prove_these_axioms_3) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox/tmp/tmp.qI0JF7LN8m/E---3.1_19798.p',multiply) ).
cnf(c_0_3,axiom,
divide(inverse(divide(divide(divide(X1,X2),X3),divide(X4,X3))),divide(X2,X1)) = X4,
single_axiom ).
cnf(c_0_4,plain,
divide(inverse(divide(divide(divide(X1,X2),divide(X3,X4)),X5)),divide(X2,X1)) = inverse(divide(divide(divide(X4,X3),X6),divide(X5,X6))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
inverse(divide(divide(divide(X1,X2),X3),divide(divide(X4,divide(X2,X1)),X3))) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
divide(inverse(divide(divide(X1,X2),divide(X3,X2))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X6),divide(X1,X6))))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_7,plain,
divide(inverse(divide(divide(divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(X4,X3)))),X5),divide(X6,X5))),X4) = X6,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_8,plain,
inverse(divide(divide(X1,X2),divide(X3,X2))) = inverse(divide(divide(X1,X4),divide(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_3]) ).
cnf(c_0_9,plain,
divide(divide(inverse(divide(divide(divide(X1,X2),X3),X4)),divide(X2,X1)),X3) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_3]) ).
cnf(c_0_10,plain,
divide(X1,divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),divide(divide(X5,X6),X4))))) = divide(X1,divide(X6,X5)),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_11,plain,
inverse(divide(divide(X1,X2),divide(inverse(divide(divide(divide(X3,X4),X5),divide(X6,X5))),X2))) = inverse(divide(divide(X1,divide(X4,X3)),X6)),
inference(spm,[status(thm)],[c_0_8,c_0_3]) ).
cnf(c_0_12,plain,
divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X5,X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_9]) ).
cnf(c_0_13,plain,
divide(inverse(divide(X1,divide(X2,X3))),divide(divide(X4,X5),inverse(divide(divide(divide(X5,X4),X3),X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_11]),c_0_3]) ).
cnf(c_0_14,plain,
inverse(divide(divide(divide(X1,divide(X2,X3)),X4),divide(divide(X5,X6),X4))) = divide(divide(inverse(divide(X6,X5)),divide(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_15,plain,
divide(divide(divide(inverse(divide(X1,X2)),divide(X3,X4)),X5),divide(divide(X4,X3),X5)) = divide(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_16,plain,
inverse(divide(X1,divide(divide(X2,divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),X1)))),X5))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_17,plain,
divide(divide(divide(X1,X2),inverse(divide(X3,X4))),inverse(divide(X4,X3))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_18,plain,
divide(inverse(divide(X1,X2)),divide(divide(X3,X4),inverse(divide(X2,X1)))) = divide(X4,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_12]) ).
cnf(c_0_19,plain,
inverse(divide(divide(divide(X1,X2),inverse(divide(X2,X1))),X3)) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,plain,
divide(divide(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_3]) ).
cnf(c_0_21,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
divide(X1,divide(divide(X2,X3),divide(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_21]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
prove_these_axioms_3 ).
cnf(c_0_24,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_25,plain,
divide(divide(X1,X2),divide(X3,X2)) = divide(divide(X1,X4),divide(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_15]) ).
cnf(c_0_26,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_28,plain,
divide(divide(X1,X2),divide(X3,X2)) = divide(X1,X3),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
divide(X1,inverse(inverse(X2))) = divide(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_30,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_31,plain,
divide(divide(X1,X2),X3) = divide(X1,divide(X3,inverse(X2))),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_32,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_29]),c_0_9]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Oct 3 02:58:14 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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.qI0JF7LN8m/E---3.1_19798.p
% 0.14/0.44 # Version: 3.1pre001
% 0.14/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 # Starting sh5l with 300s (1) cores
% 0.14/0.44 # new_bool_3 with pid 19876 completed with status 0
% 0.14/0.44 # Result found by new_bool_3
% 0.14/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.14/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.14/0.44 # U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 19880 completed with status 0
% 0.14/0.44 # Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.44 # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.14/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.44 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.14/0.44 # Preprocessing time : 0.001 s
% 0.14/0.44 # Presaturation interreduction done
% 0.14/0.44
% 0.14/0.44 # Proof found!
% 0.14/0.44 # SZS status Unsatisfiable
% 0.14/0.44 # SZS output start CNFRefutation
% See solution above
% 0.14/0.44 # Parsed axioms : 3
% 0.14/0.44 # Removed by relevancy pruning/SinE : 0
% 0.14/0.44 # Initial clauses : 3
% 0.14/0.44 # Removed in clause preprocessing : 0
% 0.14/0.44 # Initial clauses in saturation : 3
% 0.14/0.44 # Processed clauses : 104
% 0.14/0.44 # ...of these trivial : 18
% 0.14/0.44 # ...subsumed : 43
% 0.14/0.44 # ...remaining for further processing : 43
% 0.14/0.44 # Other redundant clauses eliminated : 0
% 0.14/0.44 # Clauses deleted for lack of memory : 0
% 0.14/0.44 # Backward-subsumed : 1
% 0.14/0.44 # Backward-rewritten : 31
% 0.14/0.44 # Generated clauses : 2465
% 0.14/0.44 # ...of the previous two non-redundant : 2059
% 0.14/0.44 # ...aggressively subsumed : 0
% 0.14/0.44 # Contextual simplify-reflections : 0
% 0.14/0.44 # Paramodulations : 2465
% 0.14/0.44 # Factorizations : 0
% 0.14/0.44 # NegExts : 0
% 0.14/0.44 # Equation resolutions : 0
% 0.14/0.44 # Total rewrite steps : 1496
% 0.14/0.44 # Propositional unsat checks : 0
% 0.14/0.44 # Propositional check models : 0
% 0.14/0.44 # Propositional check unsatisfiable : 0
% 0.14/0.44 # Propositional clauses : 0
% 0.14/0.44 # Propositional clauses after purity: 0
% 0.14/0.44 # Propositional unsat core size : 0
% 0.14/0.44 # Propositional preprocessing time : 0.000
% 0.14/0.44 # Propositional encoding time : 0.000
% 0.14/0.44 # Propositional solver time : 0.000
% 0.14/0.44 # Success case prop preproc time : 0.000
% 0.14/0.44 # Success case prop encoding time : 0.000
% 0.14/0.44 # Success case prop solver time : 0.000
% 0.14/0.44 # Current number of processed clauses : 8
% 0.14/0.44 # Positive orientable unit clauses : 7
% 0.14/0.44 # Positive unorientable unit clauses: 1
% 0.14/0.44 # Negative unit clauses : 0
% 0.14/0.44 # Non-unit-clauses : 0
% 0.14/0.44 # Current number of unprocessed clauses: 1752
% 0.14/0.44 # ...number of literals in the above : 1752
% 0.14/0.44 # Current number of archived formulas : 0
% 0.14/0.44 # Current number of archived clauses : 35
% 0.14/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.14/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.14/0.44 # Non-unit clause-clause subsumptions : 0
% 0.14/0.44 # Unit Clause-clause subsumption calls : 30
% 0.14/0.44 # Rewrite failures with RHS unbound : 0
% 0.14/0.44 # BW rewrite match attempts : 216
% 0.14/0.44 # BW rewrite match successes : 64
% 0.14/0.44 # Condensation attempts : 0
% 0.14/0.44 # Condensation successes : 0
% 0.14/0.44 # Termbank termtop insertions : 42287
% 0.14/0.44
% 0.14/0.44 # -------------------------------------------------
% 0.14/0.44 # User time : 0.034 s
% 0.14/0.44 # System time : 0.002 s
% 0.14/0.44 # Total time : 0.036 s
% 0.14/0.44 # Maximum resident set size: 1424 pages
% 0.14/0.44
% 0.14/0.44 # -------------------------------------------------
% 0.14/0.44 # User time : 0.034 s
% 0.14/0.44 # System time : 0.004 s
% 0.14/0.44 # Total time : 0.038 s
% 0.14/0.44 # Maximum resident set size: 1668 pages
% 0.14/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------