TSTP Solution File: SWV191+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:15:31 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 129 ( 90 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 119 ( 14 ~; 9 |; 90 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(quaternion_ds1_inuse_0002,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,tptp_minus_1) )
=> a_select3(z_defuse,X14,X18) = use ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',quaternion_ds1_inuse_0002) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(c_0_6,plain,
! [X3,X4] :
( ~ leq(succ(X3),X4)
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(c_0_7,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_8,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,tptp_minus_1) )
=> a_select3(z_defuse,X14,X18) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).
cnf(c_0_9,plain,
( gt(X1,X2)
| ~ leq(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(c_0_13,negated_conjecture,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n2)
& leq(esk2_0,tptp_minus_1)
& a_select3(z_defuse,esk1_0,esk2_0) != use ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
cnf(c_0_14,plain,
( gt(X1,X2)
| ~ leq(plus(X2,n1),X1) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
leq(esk2_0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X2] : ~ gt(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[irreflexivity_gt])]) ).
cnf(c_0_19,plain,
( gt(X1,tptp_minus_1)
| ~ leq(n0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( leq(X1,tptp_minus_1)
| ~ leq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n013.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 : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 15 10:00:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.019 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 24
% 0.23/1.40 # Proof object clause steps : 12
% 0.23/1.40 # Proof object formula steps : 12
% 0.23/1.40 # Proof object conjectures : 7
% 0.23/1.40 # Proof object clause conjectures : 4
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 7
% 0.23/1.40 # Proof object initial formulas used : 6
% 0.23/1.40 # Proof object generating inferences : 3
% 0.23/1.40 # Proof object simplifying inferences : 5
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 85
% 0.23/1.40 # Removed by relevancy pruning/SinE : 29
% 0.23/1.40 # Initial clauses : 89
% 0.23/1.40 # Removed in clause preprocessing : 1
% 0.23/1.40 # Initial clauses in saturation : 88
% 0.23/1.40 # Processed clauses : 154
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 8
% 0.23/1.40 # ...remaining for further processing : 146
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 0
% 0.23/1.40 # Backward-rewritten : 0
% 0.23/1.40 # Generated clauses : 351
% 0.23/1.40 # ...of the previous two non-trivial : 261
% 0.23/1.40 # Contextual simplify-reflections : 4
% 0.23/1.40 # Paramodulations : 349
% 0.23/1.40 # Factorizations : 2
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 146
% 0.23/1.40 # Positive orientable unit clauses : 80
% 0.23/1.40 # Positive unorientable unit clauses: 5
% 0.23/1.40 # Negative unit clauses : 7
% 0.23/1.40 # Non-unit-clauses : 54
% 0.23/1.40 # Current number of unprocessed clauses: 195
% 0.23/1.40 # ...number of literals in the above : 494
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 1
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 58
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 32
% 0.23/1.40 # Non-unit clause-clause subsumptions : 10
% 0.23/1.40 # Unit Clause-clause subsumption calls : 37
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 13
% 0.23/1.40 # BW rewrite match successes : 13
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 7249
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.025 s
% 0.23/1.40 # System time : 0.006 s
% 0.23/1.40 # Total time : 0.031 s
% 0.23/1.40 # Maximum resident set size: 3468 pages
%------------------------------------------------------------------------------