TSTP Solution File: NUM848+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM848+2 : 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 : n019.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 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(trivial_inequality_removal,[],[f56]) ).
fof(f56,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
inference(forward_demodulation,[],[f50,f53]) ).
fof(f53,plain,
! [X0,X1] : vmul(X1,vplus(X0,v1)) = vplus(vmul(X1,X0),X1),
inference(definition_unfolding,[],[f42,f34]) ).
fof(f34,plain,
! [X1] : vsucc(X1) = vplus(X1,v1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( vsucc(vplus(X1,X0)) = vplus(X1,vsucc(X0))
& vsucc(X1) = vplus(X1,v1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X13,X12] :
( vplus(X12,vsucc(X13)) = vsucc(vplus(X12,X13))
& vplus(X12,v1) = vsucc(X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f42,plain,
! [X0,X1] : vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)
& vmul(X0,v1) = X0 ),
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(f50,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
inference(definition_unfolding,[],[f38,f34]) ).
fof(f38,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 09:06:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (13012)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)
% 0.21/0.51 % (13007)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)
% 0.21/0.51 % (12988)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)
% 0.21/0.51 % (13007)First to succeed.
% 0.21/0.51 % (13004)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)
% 0.21/0.51 % (12996)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)
% 0.21/0.52 % (12999)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)
% 0.21/0.52 % (13012)Refutation not found, incomplete strategy% (13012)------------------------------
% 0.21/0.52 % (13012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (12996)Refutation not found, incomplete strategy% (12996)------------------------------
% 0.21/0.52 % (12996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (13012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (13012)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (13012)Memory used [KB]: 5884
% 0.21/0.52 % (13012)Time elapsed: 0.110 s
% 0.21/0.52 % (13012)Instructions burned: 2 (million)
% 0.21/0.52 % (13012)------------------------------
% 0.21/0.52 % (13012)------------------------------
% 0.21/0.52 % (13007)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (13007)------------------------------
% 0.21/0.52 % (13007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (13007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (13007)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (13007)Memory used [KB]: 1407
% 0.21/0.52 % (13007)Time elapsed: 0.006 s
% 0.21/0.52 % (13007)Instructions burned: 2 (million)
% 0.21/0.52 % (13007)------------------------------
% 0.21/0.52 % (13007)------------------------------
% 0.21/0.52 % (12979)Success in time 0.157 s
%------------------------------------------------------------------------------