TSTP Solution File: GRP184-2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP184-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 17:39:12 EDT 2023
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 7 RR)
% Number of literals : 36 ( 35 equ; 4 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_3,hypothesis,
inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',p21_3) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',left_identity) ).
cnf(p21_1,hypothesis,
inverse(identity) = identity,
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',p21_1) ).
cnf(p21_2,hypothesis,
inverse(inverse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',p21_2) ).
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.vc9Bh4JgSH/E---3.1_29998.p',monotony_glb2) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',symmetry_of_glb) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',left_inverse) ).
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.vc9Bh4JgSH/E---3.1_29998.p',monotony_glb1) ).
cnf(prove_p21,negated_conjecture,
multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',prove_p21) ).
cnf(symmetry_of_lub,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',symmetry_of_lub) ).
cnf(monotony_lub1,axiom,
multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',monotony_lub1) ).
cnf(monotony_lub2,axiom,
multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.vc9Bh4JgSH/E---3.1_29998.p',monotony_lub2) ).
cnf(c_0_12,hypothesis,
inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
p21_3 ).
cnf(c_0_13,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_14,hypothesis,
inverse(identity) = identity,
p21_1 ).
cnf(c_0_15,hypothesis,
multiply(inverse(X1),identity) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,hypothesis,
inverse(inverse(X1)) = X1,
p21_2 ).
cnf(c_0_17,axiom,
multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
monotony_glb2 ).
cnf(c_0_18,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
symmetry_of_glb ).
cnf(c_0_19,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_20,axiom,
multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
monotony_glb1 ).
cnf(c_0_21,hypothesis,
multiply(X1,identity) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(X2,identity),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_18]) ).
cnf(c_0_23,hypothesis,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_24,hypothesis,
greatest_lower_bound(X1,multiply(X1,X2)) = multiply(X1,greatest_lower_bound(X2,identity)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18]) ).
cnf(c_0_25,hypothesis,
greatest_lower_bound(identity,inverse(X1)) = multiply(greatest_lower_bound(X1,identity),inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]) ).
cnf(c_0_26,negated_conjecture,
multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
prove_p21 ).
cnf(c_0_27,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
symmetry_of_lub ).
cnf(c_0_28,axiom,
multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
monotony_lub1 ).
cnf(c_0_29,axiom,
multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
monotony_lub2 ).
cnf(c_0_30,hypothesis,
multiply(inverse(X1),greatest_lower_bound(X1,identity)) = multiply(greatest_lower_bound(X1,identity),inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_18]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
least_upper_bound(multiply(inverse(greatest_lower_bound(identity,a)),identity),multiply(inverse(greatest_lower_bound(identity,a)),a)) != least_upper_bound(inverse(greatest_lower_bound(identity,a)),multiply(a,inverse(greatest_lower_bound(identity,a)))),
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_26,c_0_18]),c_0_27]),c_0_27]),c_0_18]),c_0_28]),c_0_29]),c_0_13]) ).
cnf(c_0_32,hypothesis,
multiply(inverse(greatest_lower_bound(X1,identity)),X1) = multiply(X1,inverse(greatest_lower_bound(X1,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_30]),c_0_12]),c_0_16]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
least_upper_bound(inverse(greatest_lower_bound(identity,a)),multiply(inverse(greatest_lower_bound(identity,a)),a)) != least_upper_bound(inverse(greatest_lower_bound(identity,a)),multiply(a,inverse(greatest_lower_bound(identity,a)))),
inference(rw,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_34,hypothesis,
multiply(inverse(greatest_lower_bound(identity,X1)),X1) = multiply(X1,inverse(greatest_lower_bound(identity,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP184-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 02:13:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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.vc9Bh4JgSH/E---3.1_29998.p
% 0.15/0.48 # Version: 3.1pre001
% 0.15/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 # Starting sh5l with 300s (1) cores
% 0.15/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30082 completed with status 0
% 0.15/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 # No SInE strategy applied
% 0.15/0.48 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.48 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.48 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.48 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.48 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.15/0.48 # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 30091 completed with status 0
% 0.15/0.48 # Result found by U----_043_B31_F1_PI_AE_CS_SP_S2S
% 0.15/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 # No SInE strategy applied
% 0.15/0.48 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.48 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.48 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.48 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.48 # Preprocessing time : 0.001 s
% 0.15/0.48
% 0.15/0.48 # Proof found!
% 0.15/0.48 # SZS status Unsatisfiable
% 0.15/0.48 # SZS output start CNFRefutation
% See solution above
% 0.15/0.48 # Parsed axioms : 19
% 0.15/0.48 # Removed by relevancy pruning/SinE : 0
% 0.15/0.48 # Initial clauses : 19
% 0.15/0.48 # Removed in clause preprocessing : 0
% 0.15/0.48 # Initial clauses in saturation : 19
% 0.15/0.48 # Processed clauses : 459
% 0.15/0.48 # ...of these trivial : 174
% 0.15/0.48 # ...subsumed : 161
% 0.15/0.48 # ...remaining for further processing : 124
% 0.15/0.48 # Other redundant clauses eliminated : 0
% 0.15/0.48 # Clauses deleted for lack of memory : 0
% 0.15/0.48 # Backward-subsumed : 0
% 0.15/0.48 # Backward-rewritten : 10
% 0.15/0.48 # Generated clauses : 6262
% 0.15/0.48 # ...of the previous two non-redundant : 3800
% 0.15/0.48 # ...aggressively subsumed : 0
% 0.15/0.48 # Contextual simplify-reflections : 0
% 0.15/0.48 # Paramodulations : 6262
% 0.15/0.48 # Factorizations : 0
% 0.15/0.48 # NegExts : 0
% 0.15/0.48 # Equation resolutions : 0
% 0.15/0.48 # Total rewrite steps : 8222
% 0.15/0.48 # Propositional unsat checks : 0
% 0.15/0.48 # Propositional check models : 0
% 0.15/0.48 # Propositional check unsatisfiable : 0
% 0.15/0.48 # Propositional clauses : 0
% 0.15/0.48 # Propositional clauses after purity: 0
% 0.15/0.48 # Propositional unsat core size : 0
% 0.15/0.48 # Propositional preprocessing time : 0.000
% 0.15/0.48 # Propositional encoding time : 0.000
% 0.15/0.48 # Propositional solver time : 0.000
% 0.15/0.48 # Success case prop preproc time : 0.000
% 0.15/0.48 # Success case prop encoding time : 0.000
% 0.15/0.48 # Success case prop solver time : 0.000
% 0.15/0.48 # Current number of processed clauses : 114
% 0.15/0.48 # Positive orientable unit clauses : 102
% 0.15/0.48 # Positive unorientable unit clauses: 12
% 0.15/0.48 # Negative unit clauses : 0
% 0.15/0.48 # Non-unit-clauses : 0
% 0.15/0.48 # Current number of unprocessed clauses: 3333
% 0.15/0.48 # ...number of literals in the above : 3333
% 0.15/0.48 # Current number of archived formulas : 0
% 0.15/0.48 # Current number of archived clauses : 10
% 0.15/0.48 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.48 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.48 # Non-unit clause-clause subsumptions : 0
% 0.15/0.48 # Unit Clause-clause subsumption calls : 32
% 0.15/0.48 # Rewrite failures with RHS unbound : 0
% 0.15/0.48 # BW rewrite match attempts : 275
% 0.15/0.48 # BW rewrite match successes : 159
% 0.15/0.48 # Condensation attempts : 0
% 0.15/0.48 # Condensation successes : 0
% 0.15/0.48 # Termbank termtop insertions : 57558
% 0.15/0.48
% 0.15/0.48 # -------------------------------------------------
% 0.15/0.48 # User time : 0.043 s
% 0.15/0.48 # System time : 0.006 s
% 0.15/0.48 # Total time : 0.049 s
% 0.15/0.48 # Maximum resident set size: 1524 pages
% 0.15/0.48
% 0.15/0.48 # -------------------------------------------------
% 0.15/0.48 # User time : 0.227 s
% 0.15/0.48 # System time : 0.023 s
% 0.15/0.48 # Total time : 0.250 s
% 0.15/0.48 # Maximum resident set size: 1676 pages
% 0.15/0.48 % E---3.1 exiting
% 0.15/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------