TSTP Solution File: RNG026-6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG026-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:15:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 5 RR)
% Number of literals : 32 ( 31 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_for_addition,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',associativity_for_addition) ).
cnf(right_additive_inverse,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',right_additive_inverse) ).
cnf(left_additive_identity,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',left_additive_identity) ).
cnf(additive_inverse_additive_inverse,axiom,
additive_inverse(additive_inverse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',additive_inverse_additive_inverse) ).
cnf(commutativity_for_addition,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',commutativity_for_addition) ).
cnf(prove_teichmuller_identity,negated_conjecture,
add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',prove_teichmuller_identity) ).
cnf(associator,axiom,
associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',associator) ).
cnf(distribute2,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',distribute2) ).
cnf(right_additive_identity,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',right_additive_identity) ).
cnf(distribute1,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p',distribute1) ).
cnf(c_0_10,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
associativity_for_addition ).
cnf(c_0_11,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
right_additive_inverse ).
cnf(c_0_12,axiom,
add(additive_identity,X1) = X1,
left_additive_identity ).
cnf(c_0_13,plain,
add(X1,add(additive_inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,axiom,
additive_inverse(additive_inverse(X1)) = X1,
additive_inverse_additive_inverse ).
cnf(c_0_15,plain,
add(additive_inverse(X1),add(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
add(X1,X2) = add(X2,X1),
commutativity_for_addition ).
cnf(c_0_17,plain,
add(additive_inverse(X1),add(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
prove_teichmuller_identity ).
cnf(c_0_19,axiom,
associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
associator ).
cnf(c_0_20,plain,
add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_17]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))) != additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_22,plain,
additive_inverse(add(additive_inverse(X1),X2)) = add(X1,additive_inverse(X2)),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d))))))))))) != additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_16]),c_0_16]),c_0_16]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_24,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_25,plain,
additive_inverse(add(X1,add(additive_inverse(X2),X3))) = add(additive_inverse(X1),add(X2,additive_inverse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_22]),c_0_10]),c_0_10]) ).
cnf(c_0_26,plain,
add(additive_inverse(X1),additive_inverse(X2)) = additive_inverse(add(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_27,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
distribute2 ).
cnf(c_0_28,axiom,
add(X1,additive_identity) = X1,
right_additive_identity ).
cnf(c_0_29,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
distribute1 ).
cnf(c_0_30,plain,
add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_16]),c_0_24]),c_0_16]),c_0_24]),c_0_10]),c_0_25]),c_0_24]),c_0_26]),c_0_10]),c_0_27]),c_0_10]),c_0_16]),c_0_11]),c_0_28]),c_0_16]),c_0_24]),c_0_26]),c_0_10]),c_0_16]),c_0_24]),c_0_16]),c_0_10]),c_0_26]),c_0_10]),c_0_10]),c_0_29]),c_0_10]),c_0_16]),c_0_11]),c_0_28]),c_0_16]),c_0_24]),c_0_16]),c_0_20]),c_0_30]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : RNG026-6 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.15 % Command : run_E %s %d THM
% 0.13/0.37 % Computer : n019.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 2400
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Oct 2 19:41:36 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.6wBXaRxqmH/E---3.1_9171.p
% 0.20/0.52 # Version: 3.1pre001
% 0.20/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52 # Starting sh5l with 300s (1) cores
% 0.20/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9249 completed with status 0
% 0.20/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: FUUPM-FFSF21-DFFFFFNN
% 0.20/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.52 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.52 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.52 # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9259 completed with status 0
% 0.20/0.52 # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: FUUPM-FFSF21-DFFFFFNN
% 0.20/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.52 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.52 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.52 # Preprocessing time : 0.001 s
% 0.20/0.52 # Presaturation interreduction done
% 0.20/0.52
% 0.20/0.52 # Proof found!
% 0.20/0.52 # SZS status Unsatisfiable
% 0.20/0.52 # SZS output start CNFRefutation
% See solution above
% 0.20/0.52 # Parsed axioms : 16
% 0.20/0.52 # Removed by relevancy pruning/SinE : 0
% 0.20/0.52 # Initial clauses : 16
% 0.20/0.52 # Removed in clause preprocessing : 2
% 0.20/0.52 # Initial clauses in saturation : 14
% 0.20/0.52 # Processed clauses : 78
% 0.20/0.52 # ...of these trivial : 14
% 0.20/0.52 # ...subsumed : 20
% 0.20/0.52 # ...remaining for further processing : 44
% 0.20/0.52 # Other redundant clauses eliminated : 0
% 0.20/0.52 # Clauses deleted for lack of memory : 0
% 0.20/0.52 # Backward-subsumed : 0
% 0.20/0.52 # Backward-rewritten : 6
% 0.20/0.52 # Generated clauses : 375
% 0.20/0.52 # ...of the previous two non-redundant : 160
% 0.20/0.52 # ...aggressively subsumed : 0
% 0.20/0.52 # Contextual simplify-reflections : 0
% 0.20/0.52 # Paramodulations : 375
% 0.20/0.52 # Factorizations : 0
% 0.20/0.52 # NegExts : 0
% 0.20/0.52 # Equation resolutions : 0
% 0.20/0.52 # Total rewrite steps : 557
% 0.20/0.52 # Propositional unsat checks : 0
% 0.20/0.52 # Propositional check models : 0
% 0.20/0.52 # Propositional check unsatisfiable : 0
% 0.20/0.52 # Propositional clauses : 0
% 0.20/0.52 # Propositional clauses after purity: 0
% 0.20/0.52 # Propositional unsat core size : 0
% 0.20/0.52 # Propositional preprocessing time : 0.000
% 0.20/0.52 # Propositional encoding time : 0.000
% 0.20/0.52 # Propositional solver time : 0.000
% 0.20/0.52 # Success case prop preproc time : 0.000
% 0.20/0.52 # Success case prop encoding time : 0.000
% 0.20/0.52 # Success case prop solver time : 0.000
% 0.20/0.52 # Current number of processed clauses : 25
% 0.20/0.52 # Positive orientable unit clauses : 23
% 0.20/0.52 # Positive unorientable unit clauses: 2
% 0.20/0.52 # Negative unit clauses : 0
% 0.20/0.52 # Non-unit-clauses : 0
% 0.20/0.52 # Current number of unprocessed clauses: 109
% 0.20/0.52 # ...number of literals in the above : 109
% 0.20/0.52 # Current number of archived formulas : 0
% 0.20/0.52 # Current number of archived clauses : 21
% 0.20/0.52 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.52 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.52 # Non-unit clause-clause subsumptions : 0
% 0.20/0.52 # Unit Clause-clause subsumption calls : 4
% 0.20/0.52 # Rewrite failures with RHS unbound : 0
% 0.20/0.52 # BW rewrite match attempts : 59
% 0.20/0.52 # BW rewrite match successes : 44
% 0.20/0.52 # Condensation attempts : 0
% 0.20/0.52 # Condensation successes : 0
% 0.20/0.52 # Termbank termtop insertions : 3625
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.008 s
% 0.20/0.52 # System time : 0.001 s
% 0.20/0.52 # Total time : 0.009 s
% 0.20/0.52 # Maximum resident set size: 1596 pages
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.037 s
% 0.20/0.52 # System time : 0.007 s
% 0.20/0.52 # Total time : 0.044 s
% 0.20/0.52 # Maximum resident set size: 1684 pages
% 0.41/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------