TSTP Solution File: SWV216+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : 300s
% DateTime : Wed Aug 31 18:44:31 EDT 2022
% Result : Theorem 0.11s 0.47s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 448 ( 410 equ)
% Maximal formula atoms : 110 ( 29 avg)
% Number of connectives : 741 ( 308 ~; 115 |; 311 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 17 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 14 ( 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f275,plain,
$false,
inference(subsumption_resolution,[],[f251,f195]) ).
fof(f195,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f251,plain,
gt(sK0,sK0),
inference(definition_unfolding,[],[f193,f147,f157]) ).
fof(f157,plain,
n2 = sK0,
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( leq(sK1,n5)
& ( n2 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n4 != sK1 )
& ( n3 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n5 != sK1 )
& ( n5 != sK1
| n0 != sK0 )
& ( n0 != sK0
| n3 != sK1 )
& leq(n0,sK0)
& ( n4 != sK0
| n2 != sK1 )
& n2 = sK0
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n5 != sK1
| n5 != sK0 )
& n2 = sK1
& ( n5 != sK1
| n2 != sK0 )
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n2 != sK0
| n4 != sK1 )
& ( n4 != sK1
| n3 != sK0 )
& n1 = sK1
& n4 = sK0
& ( n4 != sK1
| n0 != sK0 )
& ( n3 != sK0
| n3 != sK1 )
& ( n1 != sK0
| n3 != sK1 )
& ( n2 != sK1
| n3 != sK0 )
& ( n3 != sK1
| n4 != sK0 )
& ( n1 != sK1
| n5 != sK0 )
& ( n4 != sK0
| n4 != sK1 )
& ( n5 != sK1
| n3 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n4 != sK1 )
& leq(n0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f104,f123]) ).
fof(f123,plain,
( ? [X0,X1] :
( leq(X1,n5)
& ( n2 != X1
| n5 != X0 )
& ( n1 != X0
| n4 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n0 != X0
| n3 != X1 )
& leq(n0,X0)
& ( n4 != X0
| n2 != X1 )
& n2 = X0
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n5 != X1
| n5 != X0 )
& n2 = X1
& ( n5 != X1
| n2 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n4 != X1
| n3 != X0 )
& n1 = X1
& n4 = X0
& ( n4 != X1
| n0 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X1
| n4 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(X0,n5)
& ( n5 != X0
| n4 != X1 )
& leq(n0,X1) )
=> ( leq(sK1,n5)
& ( n2 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n4 != sK1 )
& ( n3 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n5 != sK1 )
& ( n5 != sK1
| n0 != sK0 )
& ( n0 != sK0
| n3 != sK1 )
& leq(n0,sK0)
& ( n4 != sK0
| n2 != sK1 )
& n2 = sK0
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n5 != sK1
| n5 != sK0 )
& n2 = sK1
& ( n5 != sK1
| n2 != sK0 )
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n2 != sK0
| n4 != sK1 )
& ( n4 != sK1
| n3 != sK0 )
& n1 = sK1
& n4 = sK0
& ( n4 != sK1
| n0 != sK0 )
& ( n3 != sK0
| n3 != sK1 )
& ( n1 != sK0
| n3 != sK1 )
& ( n2 != sK1
| n3 != sK0 )
& ( n3 != sK1
| n4 != sK0 )
& ( n1 != sK1
| n5 != sK0 )
& ( n4 != sK0
| n4 != sK1 )
& ( n5 != sK1
| n3 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n4 != sK1 )
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1] :
( leq(X1,n5)
& ( n2 != X1
| n5 != X0 )
& ( n1 != X0
| n4 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n0 != X0
| n3 != X1 )
& leq(n0,X0)
& ( n4 != X0
| n2 != X1 )
& n2 = X0
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n5 != X1
| n5 != X0 )
& n2 = X1
& ( n5 != X1
| n2 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n4 != X1
| n3 != X0 )
& n1 = X1
& n4 = X0
& ( n4 != X1
| n0 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X1
| n4 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(X0,n5)
& ( n5 != X0
| n4 != X1 )
& leq(n0,X1) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != X0
| n3 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n4 != X0
| n4 != X1 )
& ( n5 != X0
| n4 != X1 )
& ( n1 != X0
| n4 != X1 )
& ( n5 != X1
| n0 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X1
| n5 != X0 )
& ( n1 != X0
| n3 != X1 )
& ( n2 != X0
| n4 != X1 )
& ( n3 != X0
| n3 != X1 )
& ( n5 != X1
| n4 != X0 )
& n2 = X1
& ( n3 != X1
| n4 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n5 != X1
| n2 != X0 )
& ( n2 != X1
| n3 != X0 )
& n1 = X1
& ( n4 != X1
| n0 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n5 != X1
| n3 != X0 )
& ( n5 != X0
| n0 != X1 )
& n4 = X0
& n2 = X0
& ( n2 != X1
| n5 != X0 )
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X1] :
( ( leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) )
=> ( ( ~ ( n0 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n5 = X1
& n0 = X0 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n4 = X0 )
& n2 = X1
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n3 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n3 = X0
& n2 = X1 )
& n1 = X1
& ~ ( n0 = X0
& n4 = X1 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& n4 = X0
& n2 = X0
& ~ ( n2 = X1
& n5 = X0 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13,X17] :
( ( leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n1 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n4 = X17 )
& n1 = X17
& ~ ( n5 = X13
& n2 = X17 )
& n2 = X13
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n3 = X13
& n4 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& n4 = X13
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n0 = X13 )
& n2 = X17
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n5 = X17
& n5 = X13 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13,X17] :
( ( leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n1 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n4 = X17 )
& n1 = X17
& ~ ( n5 = X13
& n2 = X17 )
& n2 = X13
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n3 = X13
& n4 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& n4 = X13
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n3 = X17 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n0 = X13 )
& n2 = X17
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n5 = X17
& n5 = X13 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0201) ).
fof(f147,plain,
n4 = sK0,
inference(cnf_transformation,[],[f124]) ).
fof(f193,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.29 % Computer : n017.cluster.edu
% 0.06/0.29 % Model : x86_64 x86_64
% 0.06/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.29 % Memory : 8042.1875MB
% 0.06/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.29 % CPULimit : 300
% 0.06/0.29 % WCLimit : 300
% 0.06/0.29 % DateTime : Tue Aug 30 18:30:50 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.45 % (26815)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.11/0.45 % (26830)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.11/0.45 % (26824)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.46 % (26834)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.46 % (26832)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.11/0.46 % (26819)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.11/0.46 % (26824)Instruction limit reached!
% 0.11/0.46 % (26824)------------------------------
% 0.11/0.46 % (26824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.46 % (26826)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.46 % (26833)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.11/0.46 % (26815)First to succeed.
% 0.11/0.47 % (26827)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.47 % (26824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47 % (26824)Termination reason: Unknown
% 0.11/0.47 % (26824)Termination phase: Preprocessing 3
% 0.11/0.47
% 0.11/0.47 % (26824)Memory used [KB]: 1663
% 0.11/0.47 % (26824)Time elapsed: 0.004 s
% 0.11/0.47 % (26824)Instructions burned: 4 (million)
% 0.11/0.47 % (26824)------------------------------
% 0.11/0.47 % (26824)------------------------------
% 0.11/0.47 % (26825)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.47 % (26827)Instruction limit reached!
% 0.11/0.47 % (26827)------------------------------
% 0.11/0.47 % (26827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47 % (26827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47 % (26827)Termination reason: Unknown
% 0.11/0.47 % (26827)Termination phase: Preprocessing 3
% 0.11/0.47
% 0.11/0.47 % (26827)Memory used [KB]: 1535
% 0.11/0.47 % (26827)Time elapsed: 0.003 s
% 0.11/0.47 % (26827)Instructions burned: 3 (million)
% 0.11/0.47 % (26827)------------------------------
% 0.11/0.47 % (26827)------------------------------
% 0.11/0.47 % (26835)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.11/0.47 % (26838)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.11/0.47 % (26835)Also succeeded, but the first one will report.
% 0.11/0.47 % (26815)Refutation found. Thanks to Tanya!
% 0.11/0.47 % SZS status Theorem for theBenchmark
% 0.11/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.47 % (26815)------------------------------
% 0.11/0.47 % (26815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.47 % (26815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.47 % (26815)Termination reason: Refutation
% 0.11/0.47
% 0.11/0.47 % (26815)Memory used [KB]: 1663
% 0.11/0.47 % (26815)Time elapsed: 0.006 s
% 0.11/0.47 % (26815)Instructions burned: 4 (million)
% 0.11/0.47 % (26815)------------------------------
% 0.11/0.47 % (26815)------------------------------
% 0.11/0.47 % (26809)Success in time 0.155 s
%------------------------------------------------------------------------------