TSTP Solution File: COM125+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n011.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 15:53:21 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 152 ( 43 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 183 ( 76 ~; 55 |; 37 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 172 ( 148 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f244,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f243]) ).
fof(f243,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f240,f141]) ).
fof(f141,plain,
vtcheck(sK1,vabs(sK4,sK0,veabs),sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( vtcheck(sK1,vabs(sK4,sK0,veabs),sK5)
& ~ visFreeVar(sK2,vabs(sK4,sK0,veabs))
& ~ vtcheck(vbind(sK2,sK3,sK1),vabs(sK4,sK0,veabs),sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f111,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X1,vabs(X4,X0,veabs),X5)
& ~ visFreeVar(X2,vabs(X4,X0,veabs))
& ~ vtcheck(vbind(X2,X3,X1),vabs(X4,X0,veabs),X5) )
=> ( vtcheck(sK1,vabs(sK4,sK0,veabs),sK5)
& ~ visFreeVar(sK2,vabs(sK4,sK0,veabs))
& ~ vtcheck(vbind(sK2,sK3,sK1),vabs(sK4,sK0,veabs),sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X1,vabs(X4,X0,veabs),X5)
& ~ visFreeVar(X2,vabs(X4,X0,veabs))
& ~ vtcheck(vbind(X2,X3,X1),vabs(X4,X0,veabs),X5) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
? [X1,X5,X0,X3,X2,X4] :
( vtcheck(X5,vabs(X2,X1,veabs),X4)
& ~ visFreeVar(X0,vabs(X2,X1,veabs))
& ~ vtcheck(vbind(X0,X3,X5),vabs(X2,X1,veabs),X4) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
? [X0,X1,X2,X5,X4,X3] :
( ~ vtcheck(vbind(X0,X3,X5),vabs(X2,X1,veabs),X4)
& ~ visFreeVar(X0,vabs(X2,X1,veabs))
& vtcheck(X5,vabs(X2,X1,veabs),X4) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0,X1,X2,X5,X4,X3] :
( ( ~ visFreeVar(X0,vabs(X2,X1,veabs))
& vtcheck(X5,vabs(X2,X1,veabs),X4) )
=> vtcheck(vbind(X0,X3,X5),vabs(X2,X1,veabs),X4) ),
inference(rectify,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X8,X34,X20,X9,X14,X19] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X8,X34,X20,X9,X14,X19] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f240,plain,
( ~ vtcheck(sK1,vabs(sK4,sK0,veabs),sK5)
| ~ spl6_2 ),
inference(resolution,[],[f238,f215]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X5] :
( vtcheck(vbind(X5,X3,X0),vabs(X5,X2,veabs),X1)
| ~ vtcheck(X0,vabs(X5,X2,veabs),X1) ),
inference(subsumption_resolution,[],[f175,f166]) ).
fof(f166,plain,
! [X3,X1,X5] : ~ visFreeVar(X5,vabs(X5,X1,X3)),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X3,X1,X4,X5] :
( ~ visFreeVar(X5,X4)
| vabs(X5,X1,X3) != X4 ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X3,X1,X4,X5] :
( ~ visFreeVar(X5,X4)
| X2 != X5
| vabs(X2,X1,X3) != X4 ),
inference(equality_resolution,[],[f133]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ visFreeVar(X5,X4)
| X0 != X2
| X2 != X5
| vabs(X0,X1,X3) != X4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( X0 = X2
| visFreeVar(X5,X4)
| ~ visFreeVar(X2,X3) )
& ( ~ visFreeVar(X5,X4)
| ( X0 != X2
& visFreeVar(X2,X3) ) ) )
| X2 != X5
| vabs(X0,X1,X3) != X4 ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0,X3,X5,X4] :
( ( ( X0 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X0,X3) )
& ( ~ visFreeVar(X4,X5)
| ( X0 != X2
& visFreeVar(X0,X3) ) ) )
| X0 != X4
| vabs(X2,X1,X3) != X5 ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X3,X1,X0,X2,X5,X4] :
( ( ( ~ visFreeVar(X4,X5)
| ( X0 != X2
& visFreeVar(X0,X3) ) )
& ( visFreeVar(X4,X5)
| ~ visFreeVar(X0,X3)
| X0 = X2 ) )
| X0 != X4
| vabs(X2,X1,X3) != X5 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X3,X1,X0,X2,X5,X4] :
( ( X0 = X4
& vabs(X2,X1,X3) = X5 )
=> ( ( visFreeVar(X4,X5)
=> ( X0 != X2
& visFreeVar(X0,X3) ) )
& ( ( visFreeVar(X0,X3)
& X0 != X2 )
=> visFreeVar(X4,X5) ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X13,X14,X8,X10,X0,X3] :
( ( X0 = X13
& vabs(X8,X14,X10) = X3 )
=> ( ( visFreeVar(X0,X3)
=> ( X8 != X13
& visFreeVar(X13,X10) ) )
& ( ( visFreeVar(X13,X10)
& X8 != X13 )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f175,plain,
! [X2,X3,X0,X1,X5] :
( ~ vtcheck(X0,vabs(X5,X2,veabs),X1)
| vtcheck(vbind(X5,X3,X0),vabs(X5,X2,veabs),X1)
| visFreeVar(X5,vabs(X5,X2,veabs)) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X0,vabs(X4,X2,veabs),X1)
| vtcheck(vbind(X5,X3,X0),vabs(X4,X2,veabs),X1)
| X4 != X5
| visFreeVar(X5,vabs(X4,X2,veabs)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X0,vabs(X4,X2,veabs),X1)
| vtcheck(vbind(X5,X3,X0),vabs(X4,X2,veabs),X1)
| X4 != X5
| visFreeVar(X5,vabs(X4,X2,veabs)) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X3,X1,X0,X2,X5,X4] :
( ~ vtcheck(X3,vabs(X5,X0,veabs),X1)
| vtcheck(vbind(X4,X2,X3),vabs(X5,X0,veabs),X1)
| X4 != X5
| visFreeVar(X4,vabs(X5,X0,veabs)) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X5,X1,X4,X3,X2] :
( vtcheck(vbind(X4,X2,X3),vabs(X5,X0,veabs),X1)
| visFreeVar(X4,vabs(X5,X0,veabs))
| X4 != X5
| ~ vtcheck(X3,vabs(X5,X0,veabs),X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X5,X1,X4,X3,X2] :
( ( ~ visFreeVar(X4,vabs(X5,X0,veabs))
& X4 = X5
& vtcheck(X3,vabs(X5,X0,veabs),X1) )
=> vtcheck(vbind(X4,X2,X3),vabs(X5,X0,veabs),X1) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X34,X14,X9,X19,X8,X20] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& X8 = X20
& ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f238,plain,
( ~ vtcheck(vbind(sK4,sK3,sK1),vabs(sK4,sK0,veabs),sK5)
| ~ spl6_2 ),
inference(backward_demodulation,[],[f139,f207]) ).
fof(f207,plain,
( sK4 = sK2
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl6_2
<=> sK4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f139,plain,
~ vtcheck(vbind(sK2,sK3,sK1),vabs(sK4,sK0,veabs),sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
spl6_2,
inference(avatar_split_clause,[],[f235,f205]) ).
fof(f235,plain,
sK4 = sK2,
inference(subsumption_resolution,[],[f234,f140]) ).
fof(f140,plain,
~ visFreeVar(sK2,vabs(sK4,sK0,veabs)),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
( visFreeVar(sK2,vabs(sK4,sK0,veabs))
| sK4 = sK2 ),
inference(subsumption_resolution,[],[f228,f141]) ).
fof(f228,plain,
( sK4 = sK2
| ~ vtcheck(sK1,vabs(sK4,sK0,veabs),sK5)
| visFreeVar(sK2,vabs(sK4,sK0,veabs)) ),
inference(resolution,[],[f154,f139]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X5,X1,X2),vabs(X0,X3,veabs),X4)
| visFreeVar(X5,vabs(X0,X3,veabs))
| ~ vtcheck(X2,vabs(X0,X3,veabs),X4)
| X0 = X5 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5] :
( visFreeVar(X5,vabs(X0,X3,veabs))
| vtcheck(vbind(X5,X1,X2),vabs(X0,X3,veabs),X4)
| ~ vtcheck(X2,vabs(X0,X3,veabs),X4)
| X0 = X5 ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X4,X3,X0,X2,X1,X5] :
( visFreeVar(X5,vabs(X4,X2,veabs))
| vtcheck(vbind(X5,X3,X0),vabs(X4,X2,veabs),X1)
| ~ vtcheck(X0,vabs(X4,X2,veabs),X1)
| X4 = X5 ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X1,X2,X0,X3,X4,X5] :
( vtcheck(vbind(X5,X3,X0),vabs(X4,X2,veabs),X1)
| visFreeVar(X5,vabs(X4,X2,veabs))
| ~ vtcheck(X0,vabs(X4,X2,veabs),X1)
| X4 = X5 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X1,X2,X0,X3,X4,X5] :
( ( ~ visFreeVar(X5,vabs(X4,X2,veabs))
& vtcheck(X0,vabs(X4,X2,veabs),X1)
& X4 != X5 )
=> vtcheck(vbind(X5,X3,X0),vabs(X4,X2,veabs),X1) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X19,X14,X34,X9,X20,X8] :
( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
& ~ visFreeVar(X8,vabs(X20,X34,veabs))
& X8 != X20 )
=> vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n011.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 29 17:23:54 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (15595)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)
% 0.17/0.48 % (15595)Instruction limit reached!
% 0.17/0.48 % (15595)------------------------------
% 0.17/0.48 % (15595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (15605)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)
% 0.17/0.49 % (15596)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)
% 0.17/0.49 % (15595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (15595)Termination reason: Unknown
% 0.17/0.49 % (15595)Termination phase: Naming
% 0.17/0.49
% 0.17/0.49 % (15595)Memory used [KB]: 1663
% 0.17/0.49 % (15595)Time elapsed: 0.005 s
% 0.17/0.49 % (15595)Instructions burned: 3 (million)
% 0.17/0.49 % (15595)------------------------------
% 0.17/0.49 % (15595)------------------------------
% 0.17/0.49 % (15587)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.49 % (15596)Instruction limit reached!
% 0.17/0.49 % (15596)------------------------------
% 0.17/0.49 % (15596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (15587)First to succeed.
% 0.17/0.50 % (15588)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.50 % (15603)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)
% 0.17/0.51 % (15587)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (15587)------------------------------
% 0.17/0.51 % (15587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (15587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (15587)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (15587)Memory used [KB]: 6140
% 0.17/0.51 % (15587)Time elapsed: 0.113 s
% 0.17/0.51 % (15587)Instructions burned: 7 (million)
% 0.17/0.51 % (15587)------------------------------
% 0.17/0.51 % (15587)------------------------------
% 0.17/0.51 % (15579)Success in time 0.184 s
%------------------------------------------------------------------------------