TSTP Solution File: SWV218+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV218+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_sat --cores 0 -t %d %s
% Computer : n001.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 18:55:50 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 575 ( 542 equ)
% Maximal formula atoms : 142 ( 47 avg)
% Number of connectives : 977 ( 414 ~; 157 |; 399 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 26 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f647,plain,
$false,
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
( sK10 != sK10
| sK11 != sK11 ),
inference(definition_unfolding,[],[f315,f339,f336]) ).
fof(f336,plain,
n5 = sK11,
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( n0 != sK11
| n3 != sK10 )
& ( n5 != sK10
| n4 != sK11 )
& n0 = sK10
& ( n1 != sK11
| n3 != sK10 )
& ( n4 != sK10
| n4 != sK11 )
& n5 = sK11
& ( n3 != sK11
| n5 != sK10 )
& ( n1 != sK11
| n2 != sK10 )
& ( n1 != sK11
| n4 != sK10 )
& ( n1 != sK11
| n1 != sK10 )
& ( n2 != sK10
| n3 != sK11 )
& ( n3 != sK10
| n5 != sK11 )
& ( n5 != sK11
| n2 != sK10 )
& n4 = sK11
& ( n5 != sK11
| n1 != sK10 )
& ( n3 != sK10
| n3 != sK11 )
& ( n2 != sK11
| n1 != sK10 )
& n5 = sK10
& leq(n0,sK11)
& ( n4 != sK10
| n5 != sK11 )
& ( n2 != sK10
| n4 != sK11 )
& n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n2 != sK11
| n2 != sK10 )
& ( n5 != sK10
| n0 != sK11 )
& ( n4 != sK11
| n1 != sK10 )
& ( n4 != sK10
| n2 != sK11 )
& ( n0 != sK10
| n5 != sK11 )
& leq(sK10,n5)
& ( n1 != sK10
| n0 != sK11 )
& leq(n0,sK10)
& ( n4 != sK10
| n0 != sK11 )
& ( n2 != sK11
| n5 != sK10 )
& ( n2 != sK11
| n3 != sK10 )
& ( n0 != sK11
| n2 != sK10 )
& leq(sK11,n5)
& ( n3 != sK11
| n4 != sK10 )
& ( n3 != sK10
| n4 != sK11 )
& ( n1 != sK11
| n5 != sK10 )
& ( n1 != sK10
| n3 != sK11 )
& ( n5 != sK10
| n5 != sK11 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f153,f203]) ).
fof(f203,plain,
( ? [X0,X1] :
( ( n0 != X1
| n3 != X0 )
& ( n5 != X0
| n4 != X1 )
& n0 = X0
& ( n1 != X1
| n3 != X0 )
& ( n4 != X0
| n4 != X1 )
& n5 = X1
& ( n3 != X1
| n5 != X0 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n3 != X1 )
& ( n3 != X0
| n5 != X1 )
& ( n5 != X1
| n2 != X0 )
& n4 = X1
& ( n5 != X1
| n1 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n2 != X1
| n1 != X0 )
& n5 = X0
& leq(n0,X1)
& ( n4 != X0
| n5 != X1 )
& ( n2 != X0
| n4 != X1 )
& n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n2 != X1
| n2 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n4 != X1
| n1 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n0 != X0
| n5 != X1 )
& leq(X0,n5)
& ( n1 != X0
| n0 != X1 )
& leq(n0,X0)
& ( n4 != X0
| n0 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n0 != X1
| n2 != X0 )
& leq(X1,n5)
& ( n3 != X1
| n4 != X0 )
& ( n3 != X0
| n4 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n1 != X0
| n3 != X1 )
& ( n5 != X0
| n5 != X1 ) )
=> ( ( n0 != sK11
| n3 != sK10 )
& ( n5 != sK10
| n4 != sK11 )
& n0 = sK10
& ( n1 != sK11
| n3 != sK10 )
& ( n4 != sK10
| n4 != sK11 )
& n5 = sK11
& ( n3 != sK11
| n5 != sK10 )
& ( n1 != sK11
| n2 != sK10 )
& ( n1 != sK11
| n4 != sK10 )
& ( n1 != sK11
| n1 != sK10 )
& ( n2 != sK10
| n3 != sK11 )
& ( n3 != sK10
| n5 != sK11 )
& ( n5 != sK11
| n2 != sK10 )
& n4 = sK11
& ( n5 != sK11
| n1 != sK10 )
& ( n3 != sK10
| n3 != sK11 )
& ( n2 != sK11
| n1 != sK10 )
& n5 = sK10
& leq(n0,sK11)
& ( n4 != sK10
| n5 != sK11 )
& ( n2 != sK10
| n4 != sK11 )
& n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n2 != sK11
| n2 != sK10 )
& ( n5 != sK10
| n0 != sK11 )
& ( n4 != sK11
| n1 != sK10 )
& ( n4 != sK10
| n2 != sK11 )
& ( n0 != sK10
| n5 != sK11 )
& leq(sK10,n5)
& ( n1 != sK10
| n0 != sK11 )
& leq(n0,sK10)
& ( n4 != sK10
| n0 != sK11 )
& ( n2 != sK11
| n5 != sK10 )
& ( n2 != sK11
| n3 != sK10 )
& ( n0 != sK11
| n2 != sK10 )
& leq(sK11,n5)
& ( n3 != sK11
| n4 != sK10 )
& ( n3 != sK10
| n4 != sK11 )
& ( n1 != sK11
| n5 != sK10 )
& ( n1 != sK10
| n3 != sK11 )
& ( n5 != sK10
| n5 != sK11 ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
? [X0,X1] :
( ( n0 != X1
| n3 != X0 )
& ( n5 != X0
| n4 != X1 )
& n0 = X0
& ( n1 != X1
| n3 != X0 )
& ( n4 != X0
| n4 != X1 )
& n5 = X1
& ( n3 != X1
| n5 != X0 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n3 != X1 )
& ( n3 != X0
| n5 != X1 )
& ( n5 != X1
| n2 != X0 )
& n4 = X1
& ( n5 != X1
| n1 != X0 )
& ( n3 != X0
| n3 != X1 )
& ( n2 != X1
| n1 != X0 )
& n5 = X0
& leq(n0,X1)
& ( n4 != X0
| n5 != X1 )
& ( n2 != X0
| n4 != X1 )
& n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n2 != X1
| n2 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n4 != X1
| n1 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n0 != X0
| n5 != X1 )
& leq(X0,n5)
& ( n1 != X0
| n0 != X1 )
& leq(n0,X0)
& ( n4 != X0
| n0 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n0 != X1
| n2 != X0 )
& leq(X1,n5)
& ( n3 != X1
| n4 != X0 )
& ( n3 != X0
| n4 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n1 != X0
| n3 != X1 )
& ( n5 != X0
| n5 != X1 ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
? [X0,X1] :
( n0 != times(divide(n1,n400),a_select2(sigma,n5))
& ( n3 != X1
| n4 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n3 != X0
| n3 != X1 )
& ( n1 != X1
| n3 != X0 )
& ( n2 != X0
| n3 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n2 != X1
| n3 != X0 )
& n5 = X0
& ( n1 != X0
| n3 != X1 )
& ( n4 != X0
| n4 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n0 != X0
| n5 != X1 )
& n4 = X1
& n0 = X0
& ( n5 != X0
| n4 != X1 )
& n5 = X1
& ( n2 != X1
| n2 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n0 != X1
| n3 != X0 )
& ( n0 != X1
| n2 != X0 )
& ( n1 != X0
| n0 != X1 )
& ( n1 != X1
| n4 != X0 )
& ( n2 != X1
| n1 != X0 )
& ( n1 != X1
| n2 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n5 != X0
| n5 != X1 )
& ( n4 != X0
| n0 != X1 )
& ( n1 != X1
| n5 != X0 )
& leq(n0,X0)
& leq(X1,n5)
& leq(n0,X1)
& leq(X0,n5) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
~ ! [X0,X1] :
( ( leq(n0,X0)
& leq(X1,n5)
& leq(n0,X1)
& leq(X0,n5) )
=> ( ( ~ ( n3 = X1
& n4 = X0 )
& ~ ( n2 = X0
& n4 = X1 )
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n3 = X0
& n1 = X1 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n3 = X0
& n4 = X1 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n3 = X0
& n2 = X1 )
& n5 = X0
& ~ ( n1 = X0
& n3 = X1 )
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n0 = X0
& n5 = X1 )
& n4 = X1
& n0 = X0
& ~ ( n4 = X1
& n5 = X0 )
& n5 = X1
& ~ ( n2 = X0
& n2 = X1 )
& ~ ( n1 = X1
& n1 = X0 )
& ~ ( n0 = X1
& n5 = X0 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n3 = X0
& n0 = X1 )
& ~ ( n0 = X1
& n2 = X0 )
& ~ ( n0 = X1
& n1 = X0 )
& ~ ( n4 = X0
& n1 = X1 )
& ~ ( n1 = X0
& n2 = X1 )
& ~ ( n1 = X1
& n2 = X0 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n1 = X1
& n5 = X0 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n5)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n5 = X17 )
& n4 = X17
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n2 = X17 )
& ~ ( n1 = X13
& n3 = X17 )
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n3 = X13
& n3 = X17 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n0 = X17
& n4 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n2 = X17
& n1 = X13 )
& n5 = X17
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n1 = X17
& n4 = X13 )
& ~ ( n1 = X17
& n1 = X13 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& n0 = X13
& n5 = X13
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n1 = X13
& n0 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n3 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n5)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n5 = X17 )
& n4 = X17
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n2 = X13
& n2 = X17 )
& ~ ( n1 = X13
& n3 = X17 )
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n4 = X17
& n2 = X13 )
& ~ ( n3 = X13
& n3 = X17 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n0 = X17
& n4 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n2 = X17
& n1 = X13 )
& n5 = X17
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n1 = X17
& n4 = X13 )
& ~ ( n1 = X17
& n1 = X13 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& n0 = X13
& n5 = X13
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n1 = X13
& n0 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n3 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0281) ).
fof(f339,plain,
n0 = sK10,
inference(cnf_transformation,[],[f204]) ).
fof(f315,plain,
( n0 != sK10
| n5 != sK11 ),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV218+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:28:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (8129)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (8142)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (8134)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (8146)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (8131)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (8126)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (8124)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (8129)First to succeed.
% 0.19/0.51 % (8121)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (8126)Instruction limit reached!
% 0.19/0.52 % (8126)------------------------------
% 0.19/0.52 % (8126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8126)Termination reason: Unknown
% 0.19/0.52 % (8126)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (8126)Memory used [KB]: 1151
% 0.19/0.52 % (8126)Time elapsed: 0.008 s
% 0.19/0.52 % (8126)Instructions burned: 7 (million)
% 0.19/0.52 % (8126)------------------------------
% 0.19/0.52 % (8126)------------------------------
% 0.19/0.52 % (8142)Also succeeded, but the first one will report.
% 0.19/0.52 % (8129)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8129)------------------------------
% 0.19/0.52 % (8129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8129)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8129)Memory used [KB]: 5756
% 0.19/0.52 % (8129)Time elapsed: 0.009 s
% 0.19/0.52 % (8129)Instructions burned: 13 (million)
% 0.19/0.52 % (8129)------------------------------
% 0.19/0.52 % (8129)------------------------------
% 0.19/0.52 % (8118)Success in time 0.173 s
%------------------------------------------------------------------------------