TSTP Solution File: FLD025-5 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 17:30:32 EDT 2023
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 28 RR)
% Number of literals : 50 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_multiplication_2,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X1)
| ~ product(X5,X2,X6)
| ~ product(X4,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',associativity_multiplication_2) ).
cnf(product_9,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',product_9) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',existence_of_identity_multiplication) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',u_is_defined) ).
cnf(product_7,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',product_7) ).
cnf(associativity_multiplication_1,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',associativity_multiplication_1) ).
cnf(product_10,negated_conjecture,
product(d,b,v),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',product_10) ).
cnf(commutativity_multiplication,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',commutativity_multiplication) ).
cnf(product_8,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',product_8) ).
cnf(not_product_11,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/tmp/tmp.6NV5QPzomu/E---3.1_27971.p',not_product_11) ).
cnf(c_0_10,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X1)
| ~ product(X5,X2,X6)
| ~ product(X4,X6,X3) ),
associativity_multiplication_2 ).
cnf(c_0_11,negated_conjecture,
product(a,c,u),
product_9 ).
cnf(c_0_12,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_13,hypothesis,
defined(u),
u_is_defined ).
cnf(c_0_14,negated_conjecture,
( product(X1,c,X2)
| ~ product(X3,u,X2)
| ~ product(X3,a,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
product(multiplicative_identity,u,u),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
( product(X1,c,u)
| ~ product(multiplicative_identity,a,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
product(multiplicative_identity,a,b),
product_7 ).
cnf(c_0_18,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
associativity_multiplication_1 ).
cnf(c_0_19,negated_conjecture,
product(d,b,v),
product_10 ).
cnf(c_0_20,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
commutativity_multiplication ).
cnf(c_0_21,negated_conjecture,
product(b,c,u),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( product(X1,X2,v)
| ~ product(X3,b,X2)
| ~ product(X1,X3,d) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
product(c,b,u),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( product(X1,u,v)
| ~ product(X1,c,d) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
product(multiplicative_identity,c,d),
product_8 ).
cnf(c_0_26,negated_conjecture,
~ product(multiplicative_identity,u,v),
not_product_11 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.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 : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 23:02:53 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 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.6NV5QPzomu/E---3.1_27971.p
% 0.17/0.45 # Version: 3.1pre001
% 0.17/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # sh5l with pid 28051 completed with status 0
% 0.17/0.45 # Result found by sh5l
% 0.17/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: FGUNF-FFMM11-SFFFFFNN
% 0.17/0.45 # partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.17/0.45 # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 28058 completed with status 0
% 0.17/0.45 # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.17/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: FGUNF-FFMM11-SFFFFFNN
% 0.17/0.45 # partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Unsatisfiable
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 37
% 0.17/0.45 # Removed by relevancy pruning/SinE : 4
% 0.17/0.45 # Initial clauses : 33
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 33
% 0.17/0.45 # Processed clauses : 92
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 3
% 0.17/0.45 # ...remaining for further processing : 89
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 0
% 0.17/0.45 # Generated clauses : 228
% 0.17/0.45 # ...of the previous two non-redundant : 190
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 226
% 0.17/0.45 # Factorizations : 2
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Total rewrite steps : 52
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 89
% 0.17/0.45 # Positive orientable unit clauses : 37
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 2
% 0.17/0.45 # Non-unit-clauses : 50
% 0.17/0.45 # Current number of unprocessed clauses: 131
% 0.17/0.45 # ...number of literals in the above : 457
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 0
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 456
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 391
% 0.17/0.45 # Non-unit clause-clause subsumptions : 3
% 0.17/0.45 # Unit Clause-clause subsumption calls : 23
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 7
% 0.17/0.45 # BW rewrite match successes : 0
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 3329
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.006 s
% 0.17/0.45 # System time : 0.002 s
% 0.17/0.45 # Total time : 0.008 s
% 0.17/0.45 # Maximum resident set size: 1788 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.008 s
% 0.17/0.45 # System time : 0.003 s
% 0.17/0.45 # Total time : 0.011 s
% 0.17/0.45 # Maximum resident set size: 1704 pages
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------