TSTP Solution File: ANA044-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n023.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 13:26:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(trivial_inequality_removal,[],[f32]) ).
fof(f32,plain,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),
inference(superposition,[],[f3,f27]) ).
fof(f27,plain,
! [X2,X3,X4] : c_times(v_l(X2,X3),v_h(X4),t_b) = c_HOL_Oabs(c_times(v_l(X2,X3),v_h(X4),t_b),t_b),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',cls_conjecture_0) ).
fof(f16,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,t_b)
| c_times(X1,v_h(X0),t_b) = c_HOL_Oabs(c_times(X1,v_h(X0),t_b),t_b) ),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] : c_lessequals(c_0,v_h(X0),t_b),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',cls_conjecture_1) ).
fof(f15,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_times(X0,X1,t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b) ),
inference(resolution,[],[f14,f4]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',tfree_tcs) ).
fof(f14,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(c_0,X1,t_b)
| c_times(X1,X0,t_b) = c_HOL_Oabs(c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f13,f7]) ).
fof(f7,axiom,
! [X6] :
( class_Ring__and__Field_Opordered__cancel__semiring(X6)
| ~ class_Ring__and__Field_Oordered__idom(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f13,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_times(X0,X1,t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b) ),
inference(resolution,[],[f6,f10]) ).
fof(f10,plain,
! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_HOL_Oabs(X0,t_b) = X0 ),
inference(resolution,[],[f9,f4]) ).
fof(f9,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(X0,X1) = X0
| ~ c_lessequals(c_0,X0,X1) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X6] :
( class_OrderedGroup_Olordered__ab__group__abs(X6)
| ~ class_Ring__and__Field_Oordered__idom(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f5,axiom,
! [X2,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| ~ c_lessequals(c_0,X3,X2)
| c_HOL_Oabs(X3,X2) = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f6,axiom,
! [X2,X4,X5] :
( c_lessequals(c_0,c_times(X5,X4,X2),X2)
| ~ c_lessequals(c_0,X5,X2)
| ~ c_lessequals(c_0,X4,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f3,axiom,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.NmEKZ2CPMz/Vampire---4.8_29191',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n023.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 : Wed Aug 30 15:35:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.41 % (29297)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (29298)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (29299)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (29301)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (29300)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)
% 0.21/0.42 % (29302)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)
% 0.21/0.42 % (29303)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)
% 0.21/0.42 % (29304)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)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 % (29303)First to succeed.
% 0.21/0.42 TRYING [1]
% 0.21/0.42 % (29302)Also succeeded, but the first one will report.
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 % (29303)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (29303)------------------------------
% 0.21/0.42 % (29303)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (29303)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (29303)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (29303)Memory used [KB]: 895
% 0.21/0.42 % (29303)Time elapsed: 0.005 s
% 0.21/0.42 % (29303)------------------------------
% 0.21/0.42 % (29303)------------------------------
% 0.21/0.42 % (29297)Success in time 0.064 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------