TSTP Solution File: SWV372+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% 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 19:57:05 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 70 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 19 |; 5 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 85 ( 13 sgn; 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l8_co,conjecture,
! [X1,X2,X3] :
( phi(findmin_cpq_eff(triple(X1,X2,X3)))
=> contains_pq(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',l8_co) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',ax40) ).
fof(l8_lX,lemma,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ~ phi(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',l8_lX) ).
fof(ax51,axiom,
! [X1,X2,X3,X4] :
( X2 != create_slb
=> findmin_cpq_res(triple(X1,X2,X3)) = findmin_pqp_res(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',ax51) ).
fof(ax47,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',ax47) ).
fof(l8_li56,lemma,
! [X1,X2,X3,X4] :
( contains_cpq(triple(X1,X2,X3),X4)
<=> contains_pq(i(triple(X1,X2,X3)),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',l8_li56) ).
fof(ax39,axiom,
! [X1,X2,X3,X4] :
( contains_cpq(triple(X1,X2,X3),X4)
<=> contains_slb(X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',ax39) ).
fof(ax46,axiom,
! [X1,X2] : findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
file('/export/starexec/sandbox2/tmp/tmp.N20radR3dl/E---3.1_25676.p',ax46) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( phi(findmin_cpq_eff(triple(X1,X2,X3)))
=> contains_pq(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3))) ),
inference(assume_negation,[status(cth)],[l8_co]) ).
fof(c_0_9,plain,
! [X1,X2] : ~ ok(triple(X1,X2,bad)),
inference(fof_simplification,[status(thm)],[ax40]) ).
fof(c_0_10,lemma,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ~ phi(triple(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[l8_lX]) ).
fof(c_0_11,negated_conjecture,
( phi(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
& ~ contains_pq(i(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X30,X31,X32] :
( X31 = create_slb
| findmin_cpq_res(triple(X30,X31,X32)) = findmin_pqp_res(X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax51])])]) ).
fof(c_0_13,plain,
! [X37,X38] : ~ ok(triple(X37,X38,bad)),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_14,lemma,
! [X59,X60,X61] :
( ok(triple(X59,X60,X61))
| ~ phi(triple(X59,X60,X61)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_15,plain,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_simplification,[status(thm)],[ax47]) ).
cnf(c_0_16,negated_conjecture,
~ contains_pq(i(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( X1 = create_slb
| findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,lemma,
! [X24,X25,X26,X27] :
( ( ~ contains_cpq(triple(X24,X25,X26),X27)
| contains_pq(i(triple(X24,X25,X26)),X27) )
& ( ~ contains_pq(i(triple(X24,X25,X26)),X27)
| contains_cpq(triple(X24,X25,X26),X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l8_li56])]) ).
cnf(c_0_19,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,lemma,
( ok(triple(X1,X2,X3))
| ~ phi(triple(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X64,X65,X66] :
( X65 = create_slb
| contains_slb(X65,findmin_pqp_res(X64))
| findmin_cpq_eff(triple(X64,X65,X66)) = triple(X64,update_slb(X65,findmin_pqp_res(X64)),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])]) ).
cnf(c_0_22,negated_conjecture,
( esk2_0 = create_slb
| ~ contains_pq(i(triple(esk1_0,esk2_0,esk3_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,lemma,
( contains_pq(i(triple(X1,X2,X3)),X4)
| ~ contains_cpq(triple(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X112,X113,X114,X115] :
( ( ~ contains_cpq(triple(X112,X113,X114),X115)
| contains_slb(X113,X115) )
& ( ~ contains_slb(X113,X115)
| contains_cpq(triple(X112,X113,X114),X115) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])]) ).
cnf(c_0_25,lemma,
~ phi(triple(X1,X2,bad)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( X1 = create_slb
| contains_slb(X1,findmin_pqp_res(X2))
| findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( esk2_0 = create_slb
| ~ contains_cpq(triple(esk1_0,esk2_0,esk3_0),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( contains_cpq(triple(X3,X1,X4),X2)
| ~ contains_slb(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,lemma,
( X1 = create_slb
| contains_slb(X1,findmin_pqp_res(X2))
| ~ phi(findmin_cpq_eff(triple(X2,X1,X3))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
phi(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
( esk2_0 = create_slb
| ~ contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X46,X47] : findmin_cpq_eff(triple(X46,create_slb,X47)) = triple(X46,create_slb,bad),
inference(variable_rename,[status(thm)],[ax46]) ).
cnf(c_0_33,negated_conjecture,
esk2_0 = create_slb,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_34]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 03:01:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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.N20radR3dl/E---3.1_25676.p
% 0.21/0.53 # Version: 3.1pre001
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # sh5l with pid 25775 completed with status 0
% 0.21/0.53 # Result found by sh5l
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.53 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.21/0.53 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 25778 completed with status 0
% 0.21/0.53 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.21/0.53 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.53 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.21/0.53 # Preprocessing time : 0.003 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.53 # Parsed axioms : 66
% 0.21/0.53 # Removed by relevancy pruning/SinE : 11
% 0.21/0.53 # Initial clauses : 74
% 0.21/0.53 # Removed in clause preprocessing : 0
% 0.21/0.53 # Initial clauses in saturation : 74
% 0.21/0.53 # Processed clauses : 233
% 0.21/0.53 # ...of these trivial : 1
% 0.21/0.53 # ...subsumed : 22
% 0.21/0.53 # ...remaining for further processing : 210
% 0.21/0.53 # Other redundant clauses eliminated : 2
% 0.21/0.53 # Clauses deleted for lack of memory : 0
% 0.21/0.53 # Backward-subsumed : 0
% 0.21/0.53 # Backward-rewritten : 4
% 0.21/0.53 # Generated clauses : 285
% 0.21/0.53 # ...of the previous two non-redundant : 251
% 0.21/0.53 # ...aggressively subsumed : 0
% 0.21/0.53 # Contextual simplify-reflections : 6
% 0.21/0.53 # Paramodulations : 281
% 0.21/0.53 # Factorizations : 2
% 0.21/0.53 # NegExts : 0
% 0.21/0.53 # Equation resolutions : 2
% 0.21/0.53 # Total rewrite steps : 41
% 0.21/0.53 # Propositional unsat checks : 0
% 0.21/0.53 # Propositional check models : 0
% 0.21/0.53 # Propositional check unsatisfiable : 0
% 0.21/0.53 # Propositional clauses : 0
% 0.21/0.53 # Propositional clauses after purity: 0
% 0.21/0.53 # Propositional unsat core size : 0
% 0.21/0.53 # Propositional preprocessing time : 0.000
% 0.21/0.53 # Propositional encoding time : 0.000
% 0.21/0.53 # Propositional solver time : 0.000
% 0.21/0.53 # Success case prop preproc time : 0.000
% 0.21/0.53 # Success case prop encoding time : 0.000
% 0.21/0.53 # Success case prop solver time : 0.000
% 0.21/0.53 # Current number of processed clauses : 130
% 0.21/0.53 # Positive orientable unit clauses : 23
% 0.21/0.53 # Positive unorientable unit clauses: 1
% 0.21/0.53 # Negative unit clauses : 24
% 0.21/0.53 # Non-unit-clauses : 82
% 0.21/0.53 # Current number of unprocessed clauses: 165
% 0.21/0.53 # ...number of literals in the above : 500
% 0.21/0.53 # Current number of archived formulas : 0
% 0.21/0.53 # Current number of archived clauses : 78
% 0.21/0.53 # Clause-clause subsumption calls (NU) : 2619
% 0.21/0.53 # Rec. Clause-clause subsumption calls : 2237
% 0.21/0.53 # Non-unit clause-clause subsumptions : 14
% 0.21/0.53 # Unit Clause-clause subsumption calls : 344
% 0.21/0.53 # Rewrite failures with RHS unbound : 0
% 0.21/0.53 # BW rewrite match attempts : 6
% 0.21/0.53 # BW rewrite match successes : 1
% 0.21/0.53 # Condensation attempts : 0
% 0.21/0.53 # Condensation successes : 0
% 0.21/0.53 # Termbank termtop insertions : 8699
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.017 s
% 0.21/0.53 # System time : 0.007 s
% 0.21/0.53 # Total time : 0.025 s
% 0.21/0.53 # Maximum resident set size: 2096 pages
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.020 s
% 0.21/0.53 # System time : 0.009 s
% 0.21/0.53 # Total time : 0.029 s
% 0.21/0.53 # Maximum resident set size: 1752 pages
% 0.21/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------