TSTP Solution File: SWV216+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n020.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 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 502 ( 465 equ)
% Maximal formula atoms : 110 ( 38 avg)
% Number of connectives : 846 ( 357 ~; 140 |; 342 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 22 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 : 14 ( 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f560,plain,
$false,
inference(trivial_inequality_removal,[],[f443]) ).
fof(f443,plain,
( sK5 != sK5
| sK4 != sK4 ),
inference(definition_unfolding,[],[f259,f266,f249]) ).
fof(f249,plain,
n4 = sK4,
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( n1 != sK4
| n5 != sK5 )
& ( n5 != sK4
| n0 != sK5 )
& ( n5 != sK5
| n3 != sK4 )
& ( n3 != sK5
| n1 != sK4 )
& ( n3 != sK4
| n2 != sK5 )
& ( n4 != sK5
| n4 != sK4 )
& ( n0 != sK4
| n3 != sK5 )
& ( n5 != sK4
| n5 != sK5 )
& leq(sK4,n5)
& ( n5 != sK5
| n4 != sK4 )
& ( n3 != sK4
| n3 != sK5 )
& leq(n0,sK5)
& ( n5 != sK5
| n2 != sK4 )
& ( n3 != sK4
| n4 != sK5 )
& n2 = sK5
& ( n0 != sK4
| n4 != sK5 )
& ( n5 != sK4
| n2 != sK5 )
& n2 = sK4
& ( n3 != sK5
| n4 != sK4 )
& ( n4 != sK5
| n1 != sK4 )
& leq(sK5,n5)
& ( n2 != sK5
| n4 != sK4 )
& ( n4 != sK5
| n5 != sK4 )
& ( n2 != sK4
| n3 != sK5 )
& ( n4 != sK5
| n2 != sK4 )
& ( n3 != sK5
| n5 != sK4 )
& leq(n0,sK4)
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != sK4
| n5 != sK5 )
& ( n1 != sK5
| n5 != sK4 )
& n1 = sK5
& n4 = sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f183,f184]) ).
fof(f184,plain,
( ? [X0,X1] :
( ( n1 != X0
| n5 != X1 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n3 != X0
| n2 != X1 )
& ( n4 != X1
| n4 != X0 )
& ( n0 != X0
| n3 != X1 )
& ( n5 != X0
| n5 != X1 )
& leq(X0,n5)
& ( n5 != X1
| n4 != X0 )
& ( n3 != X0
| n3 != X1 )
& leq(n0,X1)
& ( n5 != X1
| n2 != X0 )
& ( n3 != X0
| n4 != X1 )
& n2 = X1
& ( n0 != X0
| n4 != X1 )
& ( n5 != X0
| n2 != X1 )
& n2 = X0
& ( n3 != X1
| n4 != X0 )
& ( n4 != X1
| n1 != X0 )
& leq(X1,n5)
& ( n2 != X1
| n4 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n2 != X0
| n3 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& leq(n0,X0)
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& n1 = X1
& n4 = X0 )
=> ( ( n1 != sK4
| n5 != sK5 )
& ( n5 != sK4
| n0 != sK5 )
& ( n5 != sK5
| n3 != sK4 )
& ( n3 != sK5
| n1 != sK4 )
& ( n3 != sK4
| n2 != sK5 )
& ( n4 != sK5
| n4 != sK4 )
& ( n0 != sK4
| n3 != sK5 )
& ( n5 != sK4
| n5 != sK5 )
& leq(sK4,n5)
& ( n5 != sK5
| n4 != sK4 )
& ( n3 != sK4
| n3 != sK5 )
& leq(n0,sK5)
& ( n5 != sK5
| n2 != sK4 )
& ( n3 != sK4
| n4 != sK5 )
& n2 = sK5
& ( n0 != sK4
| n4 != sK5 )
& ( n5 != sK4
| n2 != sK5 )
& n2 = sK4
& ( n3 != sK5
| n4 != sK4 )
& ( n4 != sK5
| n1 != sK4 )
& leq(sK5,n5)
& ( n2 != sK5
| n4 != sK4 )
& ( n4 != sK5
| n5 != sK4 )
& ( n2 != sK4
| n3 != sK5 )
& ( n4 != sK5
| n2 != sK4 )
& ( n3 != sK5
| n5 != sK4 )
& leq(n0,sK4)
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != sK4
| n5 != sK5 )
& ( n1 != sK5
| n5 != sK4 )
& n1 = sK5
& n4 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
? [X0,X1] :
( ( n1 != X0
| n5 != X1 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X1
| n3 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n3 != X0
| n2 != X1 )
& ( n4 != X1
| n4 != X0 )
& ( n0 != X0
| n3 != X1 )
& ( n5 != X0
| n5 != X1 )
& leq(X0,n5)
& ( n5 != X1
| n4 != X0 )
& ( n3 != X0
| n3 != X1 )
& leq(n0,X1)
& ( n5 != X1
| n2 != X0 )
& ( n3 != X0
| n4 != X1 )
& n2 = X1
& ( n0 != X0
| n4 != X1 )
& ( n5 != X0
| n2 != X1 )
& n2 = X0
& ( n3 != X1
| n4 != X0 )
& ( n4 != X1
| n1 != X0 )
& leq(X1,n5)
& ( n2 != X1
| n4 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n2 != X0
| n3 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n5 != X0 )
& leq(n0,X0)
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& n1 = X1
& n4 = X0 ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
? [X1,X0] :
( ( n1 != X1
| n5 != X0 )
& ( n5 != X1
| n0 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n3 != X0
| n1 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n0 != X1
| n3 != X0 )
& ( n5 != X1
| n5 != X0 )
& leq(X1,n5)
& ( n5 != X0
| n4 != X1 )
& ( n3 != X1
| n3 != X0 )
& leq(n0,X0)
& ( n5 != X0
| n2 != X1 )
& ( n3 != X1
| n4 != X0 )
& n2 = X0
& ( n0 != X1
| n4 != X0 )
& ( n5 != X1
| n2 != X0 )
& n2 = X1
& ( n3 != X0
| n4 != X1 )
& ( n4 != X0
| n1 != X1 )
& leq(X0,n5)
& ( n2 != X0
| n4 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X0
| n5 != X1 )
& leq(n0,X1)
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& n1 = X0
& n4 = X1 ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
? [X1,X0] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n3 != X0
| n4 != X1 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X0
| n1 != X1 )
& ( n4 != X0
| n1 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n3 != X1
| n2 != X0 )
& ( n5 != X1
| n5 != X0 )
& ( n5 != X0
| n4 != X1 )
& ( n4 != X0
| n2 != X1 )
& ( n0 != X1
| n3 != X0 )
& ( n3 != X1
| n4 != X0 )
& n2 = X1
& ( n5 != X1
| n2 != X0 )
& ( n5 != X1
| n0 != X0 )
& ( n4 != X0
| n4 != X1 )
& ( n5 != X0
| n2 != X1 )
& ( n0 != X1
| n5 != X0 )
& n1 = X0
& n4 = X1
& ( n3 != X1
| n3 != X0 )
& ( n5 != X0
| n3 != X1 )
& n2 = X0
& ( n1 != X1
| n5 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X1
| n3 != X0 )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
~ ! [X1,X0] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> ( ( ~ ( n3 = X0
& n4 = X1 )
& ~ ( n3 = X0
& n5 = X1 )
& ~ ( n3 = X0
& n1 = X1 )
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n1 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n3 = X0
& n0 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& n2 = X1
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n0 = X0
& n5 = X1 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n0 = X1
& n5 = X0 )
& n1 = X0
& n4 = X1
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n3 = X1
& n5 = X0 )
& n2 = X0
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X0
& n2 = X1 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X17,X13] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X13,n5)
& leq(X17,n5) )
=> ( ( ~ ( n0 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n3 = X13
& n5 = X17 )
& n2 = X17
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X13
& n3 = X17 )
& n4 = X13
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X17
& n5 = X13 )
& n2 = X13
& ~ ( n5 = X13
& n5 = X17 )
& n1 = X17
& ~ ( n2 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X17,X13] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X13,n5)
& leq(X17,n5) )
=> ( ( ~ ( n0 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n3 = X13
& n5 = X17 )
& n2 = X17
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X13
& n3 = X17 )
& n4 = X13
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X17
& n5 = X13 )
& n2 = X13
& ~ ( n5 = X13
& n5 = X17 )
& n1 = X17
& ~ ( n2 = X13
& n5 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0201) ).
fof(f266,plain,
n2 = sK5,
inference(cnf_transformation,[],[f185]) ).
fof(f259,plain,
( n2 != sK5
| n4 != sK4 ),
inference(cnf_transformation,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV216+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n020.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 : 300
% 0.11/0.32 % DateTime : Tue Aug 30 19:08:45 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (26593)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)
% 0.17/0.48 % (26579)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.48 % (26577)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.48 % (26573)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (26590)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.48 % (26585)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.49 % (26581)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)
% 0.17/0.49 % (26573)Instruction limit reached!
% 0.17/0.49 % (26573)------------------------------
% 0.17/0.49 % (26573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (26579)First to succeed.
% 0.17/0.49 % (26587)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.49 % (26574)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49 % (26574)Instruction limit reached!
% 0.17/0.49 % (26574)------------------------------
% 0.17/0.49 % (26574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (26574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (26574)Termination reason: Unknown
% 0.17/0.49 % (26574)Termination phase: Preprocessing 1
% 0.17/0.49
% 0.17/0.49 % (26574)Memory used [KB]: 895
% 0.17/0.49 % (26574)Time elapsed: 0.002 s
% 0.17/0.49 % (26574)Instructions burned: 2 (million)
% 0.17/0.49 % (26574)------------------------------
% 0.17/0.49 % (26574)------------------------------
% 0.17/0.50 % (26589)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)
% 0.17/0.50 % (26582)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 % (26595)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.50 % (26579)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (26579)------------------------------
% 0.17/0.50 % (26579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (26579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (26579)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (26579)Memory used [KB]: 5756
% 0.17/0.50 % (26579)Time elapsed: 0.010 s
% 0.17/0.50 % (26579)Instructions burned: 11 (million)
% 0.17/0.50 % (26579)------------------------------
% 0.17/0.50 % (26579)------------------------------
% 0.17/0.50 % (26565)Success in time 0.172 s
%------------------------------------------------------------------------------