TSTP Solution File: NUM851+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Fri Sep 1 20:40:41 EDT 2023
% Result : Theorem 15.88s 2.98s
% Output : Refutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48349,plain,
$false,
inference(trivial_inequality_removal,[],[f48348]) ).
fof(f48348,plain,
vmul(vd469,vd470) != vmul(vd469,vd470),
inference(forward_demodulation,[],[f48069,f152]) ).
fof(f152,plain,
vplus(vd471,vd473) = vd470,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vplus(vd471,vd473) = vd470,
file('/export/starexec/sandbox2/tmp/tmp.8IMax3lwr2/Vampire---4.8_20387','holds(conseq_conjunct1(conseq(302)), 474, 0)') ).
fof(f48069,plain,
vmul(vd469,vd470) != vmul(vd469,vplus(vd471,vd473)),
inference(superposition,[],[f258,f2272]) ).
fof(f2272,plain,
! [X6,X4,X5] : vmul(X4,vplus(X5,X6)) = vplus(vmul(X5,X4),vmul(X4,X6)),
inference(superposition,[],[f199,f162]) ).
fof(f162,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] : vmul(X6,X7) = vmul(X7,X6),
file('/export/starexec/sandbox2/tmp/tmp.8IMax3lwr2/Vampire---4.8_20387','ass(cond(270, 0), 0)') ).
fof(f199,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4,X5] : vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5)),
file('/export/starexec/sandbox2/tmp/tmp.8IMax3lwr2/Vampire---4.8_20387','ass(cond(281, 0), 0)') ).
fof(f258,plain,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vmul(vd469,vd470),
inference(forward_demodulation,[],[f253,f162]) ).
fof(f253,plain,
vmul(vd470,vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(superposition,[],[f214,f162]) ).
fof(f214,plain,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vd470,vd469),
inference(backward_demodulation,[],[f150,f152]) ).
fof(f150,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox2/tmp/tmp.8IMax3lwr2/Vampire---4.8_20387','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.38 % Computer : n015.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Wed Aug 30 15:32:12 EDT 2023
% 0.18/0.38 % CPUTime :
% 0.24/0.42 % (20599)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.43 % (20600)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.24/0.43 % (20601)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.24/0.43 % (20603)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.24/0.43 % (20602)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.24/0.43 % (20607)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.24/0.43 % (20608)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.24/0.43 % (20605)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.24/0.43 TRYING [1]
% 0.24/0.43 TRYING [2]
% 0.24/0.44 TRYING [3]
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [2]
% 0.24/0.45 TRYING [3]
% 0.24/0.45 TRYING [4]
% 0.24/0.49 TRYING [5]
% 0.24/0.52 TRYING [4]
% 0.24/0.59 TRYING [6]
% 0.24/0.72 TRYING [5]
% 2.34/0.85 TRYING [7]
% 5.15/1.17 TRYING [6]
% 5.92/1.31 TRYING [8]
% 6.36/1.53 TRYING [1]
% 6.36/1.53 TRYING [2]
% 6.36/1.53 TRYING [3]
% 6.36/1.54 TRYING [4]
% 7.38/1.58 TRYING [5]
% 8.58/1.70 TRYING [6]
% 10.69/2.01 TRYING [7]
% 11.41/2.27 TRYING [7]
% 12.99/2.35 TRYING [9]
% 14.79/2.66 TRYING [8]
% 15.88/2.97 % (20607)First to succeed.
% 15.88/2.98 % (20607)Refutation found. Thanks to Tanya!
% 15.88/2.98 % SZS status Theorem for Vampire---4
% 15.88/2.98 % SZS output start Proof for Vampire---4
% See solution above
% 15.88/2.98 % (20607)------------------------------
% 15.88/2.98 % (20607)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 15.88/2.98 % (20607)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 15.88/2.98 % (20607)Termination reason: Refutation
% 15.88/2.98
% 15.88/2.98 % (20607)Memory used [KB]: 33005
% 15.88/2.98 % (20607)Time elapsed: 2.547 s
% 15.88/2.98 % (20607)------------------------------
% 15.88/2.98 % (20607)------------------------------
% 15.88/2.98 % (20599)Success in time 2.595 s
% 15.88/2.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------