TSTP Solution File: NUM849+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n006.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 18:02:34 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 2 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(subsumption_resolution,[],[f297,f262]) ).
fof(f262,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK3)) != vmul(vd448,vmul(vd449,vplus(v1,sK3))),
inference(definition_unfolding,[],[f234,f238,f238]) ).
fof(f238,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X79] : vplus(v1,X79) = vsucc(X79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f234,plain,
vmul(vmul(vd448,vd449),vsucc(sK3)) != vmul(vd448,vmul(vd449,vsucc(sK3))),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( vmul(vmul(vd448,vd449),vsucc(sK3)) != vmul(vd448,vmul(vd449,vsucc(sK3)))
& vmul(vd448,vmul(vd449,sK3)) = vmul(vmul(vd448,vd449),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f139,f172]) ).
fof(f172,plain,
( ? [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) != vmul(vd448,vmul(vd449,vsucc(X0)))
& vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) )
=> ( vmul(vmul(vd448,vd449),vsucc(sK3)) != vmul(vd448,vmul(vd449,vsucc(sK3)))
& vmul(vd448,vmul(vd449,sK3)) = vmul(vmul(vd448,vd449),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
? [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) != vmul(vd448,vmul(vd449,vsucc(X0)))
& vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
fof(f297,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK3)) = vmul(vd448,vmul(vd449,vplus(v1,sK3))),
inference(forward_demodulation,[],[f296,f260]) ).
fof(f260,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vplus(v1,X0)),
inference(definition_unfolding,[],[f226,f238]) ).
fof(f226,plain,
! [X0,X1] : vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X10,X11] :
( vmul(X10,v1) = X10
& vmul(X10,vsucc(X11)) = vplus(vmul(X10,X11),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f296,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK3)) = vmul(vd448,vplus(vmul(vd449,sK3),vd449)),
inference(forward_demodulation,[],[f295,f207]) ).
fof(f207,plain,
! [X2,X0,X1] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X0,X2,X1] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3,X2] : vmul(X2,vplus(X3,X4)) = vplus(vmul(X2,X3),vmul(X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f295,plain,
vplus(vmul(vd448,vmul(vd449,sK3)),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vplus(v1,sK3)),
inference(forward_demodulation,[],[f280,f260]) ).
fof(f280,plain,
vplus(vmul(vd448,vmul(vd449,sK3)),vmul(vd448,vd449)) = vplus(vmul(vmul(vd448,vd449),sK3),vmul(vd448,vd449)),
inference(unit_resulting_resolution,[],[f233,f208]) ).
fof(f208,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vplus(vmul(vd448,vmul(vd449,X1)),vmul(vd448,vd449)) = vplus(vmul(vmul(vd448,vd449),X1),vmul(vd448,vd449)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 2)') ).
fof(f233,plain,
vmul(vd448,vmul(vd449,sK3)) = vmul(vmul(vd448,vd449),sK3),
inference(cnf_transformation,[],[f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:02:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (24793)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (24813)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)
% 0.19/0.50 % (24800)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)
% 0.19/0.50 % (24802)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)
% 0.19/0.50 % (24798)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)
% 0.19/0.50 % (24801)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (24805)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (24799)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)
% 0.19/0.50 % (24800)First to succeed.
% 0.19/0.50 % (24794)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (24808)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)
% 0.19/0.51 % (24815)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)
% 0.19/0.51 % (24800)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (24800)------------------------------
% 0.19/0.51 % (24800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24800)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (24800)Memory used [KB]: 6140
% 0.19/0.51 % (24800)Time elapsed: 0.103 s
% 0.19/0.51 % (24800)Instructions burned: 6 (million)
% 0.19/0.51 % (24800)------------------------------
% 0.19/0.51 % (24800)------------------------------
% 0.19/0.51 % (24792)Success in time 0.175 s
%------------------------------------------------------------------------------