TSTP Solution File: HAL006+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : HAL006+1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 17:50:43 EDT 2023
% Result : Theorem 0.21s 0.72s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 104 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 120 ( 50 ~; 43 |; 19 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn; 30 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subtract_distribution,axiom,
! [X1,X2,X3] :
( morphism(X1,X2,X3)
=> ! [X5,X6] :
( ( element(X5,X2)
& element(X6,X2) )
=> apply(X1,subtract(X2,X5,X6)) = subtract(X3,apply(X1,X5),apply(X1,X6)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',subtract_distribution) ).
fof(lemma12,conjecture,
! [X19] :
( element(X19,e)
=> ? [X21,X24] :
( element(X21,b)
& element(X24,b)
& apply(g,subtract(b,X21,X24)) = X19 ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',lemma12) ).
fof(g_morphism,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',g_morphism) ).
fof(lemma8,axiom,
! [X19] :
( element(X19,e)
=> ? [X21,X22,X23] :
( element(X21,b)
& element(X22,e)
& subtract(e,apply(g,X21),X19) = X22
& element(X23,a)
& apply(gamma,apply(f,X23)) = X22
& apply(g,apply(alpha,X23)) = X22 ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',lemma8) ).
fof(subtract_cancellation,axiom,
! [X2,X5,X6] :
( ( element(X5,X2)
& element(X6,X2) )
=> subtract(X2,X5,subtract(X2,X5,X6)) = X6 ),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',subtract_cancellation) ).
fof(morphism,axiom,
! [X1,X2,X3] :
( morphism(X1,X2,X3)
=> ( ! [X4] :
( element(X4,X2)
=> element(apply(X1,X4),X3) )
& apply(X1,zero(X2)) = zero(X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',morphism) ).
fof(alpha_morphism,axiom,
morphism(alpha,a,b),
file('/export/starexec/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p',alpha_morphism) ).
fof(c_0_7,plain,
! [X92,X93,X94,X95,X96] :
( ~ morphism(X92,X93,X94)
| ~ element(X95,X93)
| ~ element(X96,X93)
| apply(X92,subtract(X93,X95,X96)) = subtract(X94,apply(X92,X95),apply(X92,X96)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_distribution])])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X19] :
( element(X19,e)
=> ? [X21,X24] :
( element(X21,b)
& element(X24,b)
& apply(g,subtract(b,X21,X24)) = X19 ) ),
inference(assume_negation,[status(cth)],[lemma12]) ).
cnf(c_0_9,plain,
( apply(X1,subtract(X2,X4,X5)) = subtract(X3,apply(X1,X4),apply(X1,X5))
| ~ morphism(X1,X2,X3)
| ~ element(X4,X2)
| ~ element(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
morphism(g,b,e),
inference(split_conjunct,[status(thm)],[g_morphism]) ).
fof(c_0_11,plain,
! [X100] :
( ( element(esk11_1(X100),b)
| ~ element(X100,e) )
& ( element(esk12_1(X100),e)
| ~ element(X100,e) )
& ( subtract(e,apply(g,esk11_1(X100)),X100) = esk12_1(X100)
| ~ element(X100,e) )
& ( element(esk13_1(X100),a)
| ~ element(X100,e) )
& ( apply(gamma,apply(f,esk13_1(X100))) = esk12_1(X100)
| ~ element(X100,e) )
& ( apply(g,apply(alpha,esk13_1(X100))) = esk12_1(X100)
| ~ element(X100,e) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lemma8])])])]) ).
fof(c_0_12,negated_conjecture,
! [X105,X106] :
( element(esk14_0,e)
& ( ~ element(X105,b)
| ~ element(X106,b)
| apply(g,subtract(b,X105,X106)) != esk14_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_13,plain,
( subtract(e,apply(g,X1),apply(g,X2)) = apply(g,subtract(b,X1,X2))
| ~ element(X2,b)
| ~ element(X1,b) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( apply(g,apply(alpha,esk13_1(X1))) = esk12_1(X1)
| ~ element(X1,e) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X89,X90,X91] :
( ~ element(X90,X89)
| ~ element(X91,X89)
| subtract(X89,X90,subtract(X89,X90,X91)) = X91 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subtract_cancellation])]) ).
fof(c_0_16,plain,
! [X25,X26,X27,X28] :
( ( ~ element(X28,X26)
| element(apply(X25,X28),X27)
| ~ morphism(X25,X26,X27) )
& ( apply(X25,zero(X26)) = zero(X27)
| ~ morphism(X25,X26,X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[morphism])])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ element(X1,b)
| ~ element(X2,b)
| apply(g,subtract(b,X1,X2)) != esk14_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( apply(g,subtract(b,X1,apply(alpha,esk13_1(X2)))) = subtract(e,apply(g,X1),esk12_1(X2))
| ~ element(apply(alpha,esk13_1(X2)),b)
| ~ element(X1,b)
| ~ element(X2,e) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( subtract(X2,X1,subtract(X2,X1,X3)) = X3
| ~ element(X1,X2)
| ~ element(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( subtract(e,apply(g,esk11_1(X1)),X1) = esk12_1(X1)
| ~ element(X1,e) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( element(apply(X3,X1),X4)
| ~ element(X1,X2)
| ~ morphism(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( subtract(e,apply(g,X1),esk12_1(X2)) != esk14_0
| ~ element(apply(alpha,esk13_1(X2)),b)
| ~ element(X1,b)
| ~ element(X2,e) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( subtract(e,apply(g,esk11_1(X1)),esk12_1(X1)) = X1
| ~ element(apply(g,esk11_1(X1)),e)
| ~ element(X1,e) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
element(esk14_0,e),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( element(apply(g,X1),e)
| ~ element(X1,b) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,plain,
morphism(alpha,a,b),
inference(split_conjunct,[status(thm)],[alpha_morphism]) ).
cnf(c_0_27,negated_conjecture,
( ~ element(apply(alpha,esk13_1(esk14_0)),b)
| ~ element(esk11_1(esk14_0),b) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23])]),c_0_24])]),c_0_25]) ).
cnf(c_0_28,plain,
( element(apply(alpha,X1),b)
| ~ element(X1,a) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ element(esk11_1(esk14_0),b)
| ~ element(esk13_1(esk14_0),a) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( element(esk11_1(X1),b)
| ~ element(X1,e) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
~ element(esk13_1(esk14_0),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24])]) ).
cnf(c_0_32,plain,
( element(esk13_1(X1),a)
| ~ element(X1,e) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HAL006+1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 23:38:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.e3yGlhJaV7/E---3.1_30315.p
% 0.21/0.72 # Version: 3.1pre001
% 0.21/0.72 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.72 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.72 # Starting sh5l with 300s (1) cores
% 0.21/0.72 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 30394 completed with status 0
% 0.21/0.72 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.72 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.72 # No SInE strategy applied
% 0.21/0.72 # Search class: FGHSF-FFMM32-MFFFFFNN
% 0.21/0.72 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.72 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 811s (1) cores
% 0.21/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.72 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.72 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.72 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.21/0.72 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 30404 completed with status 0
% 0.21/0.72 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.21/0.72 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.72 # No SInE strategy applied
% 0.21/0.72 # Search class: FGHSF-FFMM32-MFFFFFNN
% 0.21/0.72 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.72 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 811s (1) cores
% 0.21/0.72 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.72 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.72 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.72 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.21/0.72 # Preprocessing time : 0.003 s
% 0.21/0.72 # Presaturation interreduction done
% 0.21/0.72
% 0.21/0.72 # Proof found!
% 0.21/0.72 # SZS status Theorem
% 0.21/0.72 # SZS output start CNFRefutation
% See solution above
% 0.21/0.72 # Parsed axioms : 33
% 0.21/0.72 # Removed by relevancy pruning/SinE : 0
% 0.21/0.72 # Initial clauses : 57
% 0.21/0.72 # Removed in clause preprocessing : 0
% 0.21/0.72 # Initial clauses in saturation : 57
% 0.21/0.72 # Processed clauses : 1532
% 0.21/0.72 # ...of these trivial : 5
% 0.21/0.72 # ...subsumed : 816
% 0.21/0.72 # ...remaining for further processing : 711
% 0.21/0.72 # Other redundant clauses eliminated : 32
% 0.21/0.72 # Clauses deleted for lack of memory : 0
% 0.21/0.72 # Backward-subsumed : 92
% 0.21/0.72 # Backward-rewritten : 21
% 0.21/0.72 # Generated clauses : 5803
% 0.21/0.72 # ...of the previous two non-redundant : 5141
% 0.21/0.72 # ...aggressively subsumed : 0
% 0.21/0.72 # Contextual simplify-reflections : 120
% 0.21/0.72 # Paramodulations : 5769
% 0.21/0.72 # Factorizations : 0
% 0.21/0.72 # NegExts : 0
% 0.21/0.72 # Equation resolutions : 34
% 0.21/0.72 # Total rewrite steps : 2074
% 0.21/0.72 # Propositional unsat checks : 0
% 0.21/0.72 # Propositional check models : 0
% 0.21/0.72 # Propositional check unsatisfiable : 0
% 0.21/0.72 # Propositional clauses : 0
% 0.21/0.72 # Propositional clauses after purity: 0
% 0.21/0.72 # Propositional unsat core size : 0
% 0.21/0.72 # Propositional preprocessing time : 0.000
% 0.21/0.72 # Propositional encoding time : 0.000
% 0.21/0.72 # Propositional solver time : 0.000
% 0.21/0.72 # Success case prop preproc time : 0.000
% 0.21/0.72 # Success case prop encoding time : 0.000
% 0.21/0.72 # Success case prop solver time : 0.000
% 0.21/0.72 # Current number of processed clauses : 540
% 0.21/0.72 # Positive orientable unit clauses : 38
% 0.21/0.72 # Positive unorientable unit clauses: 0
% 0.21/0.72 # Negative unit clauses : 3
% 0.21/0.72 # Non-unit-clauses : 499
% 0.21/0.72 # Current number of unprocessed clauses: 3616
% 0.21/0.72 # ...number of literals in the above : 20258
% 0.21/0.72 # Current number of archived formulas : 0
% 0.21/0.72 # Current number of archived clauses : 169
% 0.21/0.72 # Clause-clause subsumption calls (NU) : 28563
% 0.21/0.72 # Rec. Clause-clause subsumption calls : 8844
% 0.21/0.72 # Non-unit clause-clause subsumptions : 808
% 0.21/0.72 # Unit Clause-clause subsumption calls : 300
% 0.21/0.72 # Rewrite failures with RHS unbound : 0
% 0.21/0.72 # BW rewrite match attempts : 19
% 0.21/0.72 # BW rewrite match successes : 12
% 0.21/0.72 # Condensation attempts : 0
% 0.21/0.72 # Condensation successes : 0
% 0.21/0.72 # Termbank termtop insertions : 156595
% 0.21/0.72
% 0.21/0.72 # -------------------------------------------------
% 0.21/0.72 # User time : 0.177 s
% 0.21/0.72 # System time : 0.011 s
% 0.21/0.72 # Total time : 0.187 s
% 0.21/0.72 # Maximum resident set size: 1880 pages
% 0.21/0.72
% 0.21/0.72 # -------------------------------------------------
% 0.21/0.72 # User time : 0.881 s
% 0.21/0.72 # System time : 0.040 s
% 0.21/0.72 # Total time : 0.921 s
% 0.21/0.72 # Maximum resident set size: 1728 pages
% 0.21/0.72 % E---3.1 exiting
% 0.21/0.72 % E---3.1 exiting
%------------------------------------------------------------------------------