TSTP Solution File: BOO007-4 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 17:18:27 EDT 2023
% Result : Unsatisfiable 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 4 RR)
% Number of literals : 49 ( 48 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_id1,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',additive_id1) ).
cnf(commutativity_of_add,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',commutativity_of_add) ).
cnf(distributivity2,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',distributivity2) ).
cnf(multiplicative_id1,axiom,
multiply(X1,multiplicative_identity) = X1,
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',multiplicative_id1) ).
cnf(distributivity1,axiom,
add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',distributivity1) ).
cnf(additive_inverse1,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',additive_inverse1) ).
cnf(commutativity_of_multiply,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',commutativity_of_multiply) ).
cnf(multiplicative_inverse1,axiom,
multiply(X1,inverse(X1)) = additive_identity,
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',multiplicative_inverse1) ).
cnf(prove_associativity,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/tmp/tmp.f1pmkbfQXL/E---3.1_12139.p',prove_associativity) ).
cnf(c_0_9,axiom,
add(X1,additive_identity) = X1,
additive_id1 ).
cnf(c_0_10,axiom,
add(X1,X2) = add(X2,X1),
commutativity_of_add ).
cnf(c_0_11,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
distributivity2 ).
cnf(c_0_12,axiom,
multiply(X1,multiplicative_identity) = X1,
multiplicative_id1 ).
cnf(c_0_13,axiom,
add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)),
distributivity1 ).
cnf(c_0_14,axiom,
add(X1,inverse(X1)) = multiplicative_identity,
additive_inverse1 ).
cnf(c_0_15,axiom,
multiply(X1,X2) = multiply(X2,X1),
commutativity_of_multiply ).
cnf(c_0_16,plain,
add(additive_identity,X1) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_17,plain,
add(X1,multiply(X1,X2)) = multiply(X1,add(X2,multiplicative_identity)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).
cnf(c_0_18,plain,
add(X1,multiply(X2,inverse(X1))) = add(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_19,plain,
multiply(multiplicative_identity,X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,plain,
multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(additive_identity,X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_14]) ).
cnf(c_0_22,plain,
multiply(add(X1,X2),add(X3,X1)) = add(X1,multiply(X2,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_23,plain,
multiply(additive_identity,X1) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_12]) ).
cnf(c_0_24,plain,
add(X1,multiply(inverse(X1),X2)) = add(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_19]) ).
cnf(c_0_25,axiom,
multiply(X1,inverse(X1)) = additive_identity,
multiplicative_inverse1 ).
cnf(c_0_26,plain,
multiply(X1,add(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_9]),c_0_23]),c_0_9]) ).
cnf(c_0_27,plain,
add(X1,inverse(inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_9]) ).
cnf(c_0_28,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_9]) ).
cnf(c_0_29,plain,
multiply(X1,add(inverse(X1),X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_25]),c_0_16]) ).
cnf(c_0_30,plain,
multiply(X1,inverse(inverse(X1))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_15]) ).
cnf(c_0_31,plain,
multiply(multiply(X1,add(X2,X3)),add(multiply(X1,X2),X4)) = add(multiply(X1,X2),multiply(multiply(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_32,plain,
add(multiplicative_identity,X1) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_33,plain,
multiply(X1,add(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_28]),c_0_17]),c_0_21]),c_0_12]) ).
cnf(c_0_34,plain,
add(X1,multiply(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_21]),c_0_12]) ).
cnf(c_0_35,plain,
add(X1,multiply(multiply(X2,inverse(X1)),X3)) = add(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_13]) ).
cnf(c_0_36,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_14]),c_0_12]),c_0_30]) ).
cnf(c_0_37,plain,
add(X1,multiply(multiply(X1,X2),X3)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_32]),c_0_12]),c_0_33]) ).
cnf(c_0_38,plain,
multiply(X1,multiply(X1,X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_34]),c_0_15]) ).
cnf(c_0_39,plain,
multiply(X1,multiply(multiply(X2,X1),X3)) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_29]),c_0_36]) ).
cnf(c_0_40,plain,
multiply(X1,multiply(multiply(X1,X2),X3)) = multiply(multiply(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_37]),c_0_15]) ).
cnf(c_0_41,plain,
add(X1,multiply(X2,multiply(X3,inverse(X1)))) = add(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_13]) ).
cnf(c_0_42,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
prove_associativity ).
cnf(c_0_43,plain,
multiply(X1,multiply(X2,X1)) = multiply(X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_44,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_40]) ).
cnf(c_0_45,plain,
multiply(X1,multiply(X2,multiply(X3,X1))) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_29]),c_0_36]) ).
cnf(c_0_46,negated_conjecture,
multiply(c,multiply(a,b)) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_47,plain,
multiply(X1,multiply(X2,X3)) = multiply(X2,multiply(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_15]),c_0_47]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : BOO007-4 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n018.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 : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 20:44:39 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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.f1pmkbfQXL/E---3.1_12139.p
% 0.15/0.46 # Version: 3.1pre001
% 0.15/0.46 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.46 # Starting sh5l with 300s (1) cores
% 0.15/0.46 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 12218 completed with status 0
% 0.15/0.46 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.46 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.46 # No SInE strategy applied
% 0.15/0.46 # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.46 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.15/0.46 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.46 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.46 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.46 # Starting sh5l with 136s (1) cores
% 0.15/0.46 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 12224 completed with status 0
% 0.15/0.46 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.46 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.46 # No SInE strategy applied
% 0.15/0.46 # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.46 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.15/0.46 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.46 # Preprocessing time : 0.001 s
% 0.15/0.46
% 0.15/0.46 # Proof found!
% 0.15/0.46 # SZS status Unsatisfiable
% 0.15/0.46 # SZS output start CNFRefutation
% See solution above
% 0.15/0.46 # Parsed axioms : 9
% 0.15/0.46 # Removed by relevancy pruning/SinE : 0
% 0.15/0.46 # Initial clauses : 9
% 0.15/0.46 # Removed in clause preprocessing : 0
% 0.15/0.46 # Initial clauses in saturation : 9
% 0.15/0.46 # Processed clauses : 225
% 0.15/0.46 # ...of these trivial : 83
% 0.15/0.46 # ...subsumed : 53
% 0.15/0.46 # ...remaining for further processing : 89
% 0.15/0.46 # Other redundant clauses eliminated : 0
% 0.15/0.46 # Clauses deleted for lack of memory : 0
% 0.15/0.46 # Backward-subsumed : 0
% 0.15/0.46 # Backward-rewritten : 24
% 0.15/0.46 # Generated clauses : 3992
% 0.15/0.46 # ...of the previous two non-redundant : 2632
% 0.15/0.46 # ...aggressively subsumed : 0
% 0.15/0.46 # Contextual simplify-reflections : 0
% 0.15/0.46 # Paramodulations : 3992
% 0.15/0.46 # Factorizations : 0
% 0.15/0.46 # NegExts : 0
% 0.15/0.46 # Equation resolutions : 0
% 0.15/0.46 # Total rewrite steps : 4994
% 0.15/0.46 # Propositional unsat checks : 0
% 0.15/0.46 # Propositional check models : 0
% 0.15/0.46 # Propositional check unsatisfiable : 0
% 0.15/0.46 # Propositional clauses : 0
% 0.15/0.46 # Propositional clauses after purity: 0
% 0.15/0.46 # Propositional unsat core size : 0
% 0.15/0.46 # Propositional preprocessing time : 0.000
% 0.15/0.46 # Propositional encoding time : 0.000
% 0.15/0.46 # Propositional solver time : 0.000
% 0.15/0.46 # Success case prop preproc time : 0.000
% 0.15/0.46 # Success case prop encoding time : 0.000
% 0.15/0.46 # Success case prop solver time : 0.000
% 0.15/0.46 # Current number of processed clauses : 65
% 0.15/0.46 # Positive orientable unit clauses : 62
% 0.15/0.46 # Positive unorientable unit clauses: 3
% 0.15/0.46 # Negative unit clauses : 0
% 0.15/0.46 # Non-unit-clauses : 0
% 0.15/0.46 # Current number of unprocessed clauses: 2341
% 0.15/0.46 # ...number of literals in the above : 2341
% 0.15/0.46 # Current number of archived formulas : 0
% 0.15/0.46 # Current number of archived clauses : 24
% 0.15/0.46 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.46 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.46 # Non-unit clause-clause subsumptions : 0
% 0.15/0.46 # Unit Clause-clause subsumption calls : 7
% 0.15/0.46 # Rewrite failures with RHS unbound : 0
% 0.15/0.46 # BW rewrite match attempts : 202
% 0.15/0.46 # BW rewrite match successes : 71
% 0.15/0.46 # Condensation attempts : 0
% 0.15/0.46 # Condensation successes : 0
% 0.15/0.46 # Termbank termtop insertions : 38232
% 0.15/0.46
% 0.15/0.46 # -------------------------------------------------
% 0.15/0.46 # User time : 0.040 s
% 0.15/0.46 # System time : 0.005 s
% 0.15/0.46 # Total time : 0.045 s
% 0.15/0.46 # Maximum resident set size: 1516 pages
% 0.15/0.46
% 0.15/0.46 # -------------------------------------------------
% 0.15/0.46 # User time : 0.211 s
% 0.15/0.46 # System time : 0.011 s
% 0.15/0.46 # Total time : 0.222 s
% 0.15/0.46 # Maximum resident set size: 1668 pages
% 0.15/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------