TSTP Solution File: ANA044-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n029.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 30 17:23:18 EDT 2023
% Result : Unsatisfiable 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 35 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 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 : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(trivial_inequality_removal,[],[f25]) ).
fof(f25,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(backward_demodulation,[],[f3,f22]) ).
fof(f22,plain,
! [X2,X0,X1] : c_times(v_l(X0,X1),v_h(X2),t_b) = c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b),
inference(resolution,[],[f17,f2]) ).
fof(f2,axiom,
! [X0] : c_lessequals(c_0,v_h(X0),t_b),
file('/export/starexec/sandbox2/tmp/tmp.IgJaCzKo5j/Vampire---4.8_22564',cls_conjecture_1) ).
fof(f17,plain,
! [X2,X3,X4] :
( ~ c_lessequals(c_0,X2,t_b)
| c_times(v_l(X3,X4),X2,t_b) = c_HOL_Oabs(c_times(v_l(X3,X4),X2,t_b),t_b) ),
inference(resolution,[],[f15,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_lessequals(c_0,v_l(X0,X1),t_b),
file('/export/starexec/sandbox2/tmp/tmp.IgJaCzKo5j/Vampire---4.8_22564',cls_conjecture_0) ).
fof(f15,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_times(X1,X0,t_b) = c_HOL_Oabs(c_times(X1,X0,t_b),t_b) ),
inference(resolution,[],[f14,f10]) ).
fof(f10,plain,
! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_HOL_Oabs(X0,t_b) = X0 ),
inference(resolution,[],[f9,f4]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.IgJaCzKo5j/Vampire---4.8_22564',tfree_tcs) ).
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.IgJaCzKo5j/Vampire---4.8_22564',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.IgJaCzKo5j/Vampire---4.8_22564',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f14,plain,
! [X0,X1] :
( c_lessequals(c_0,c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(c_0,X1,t_b) ),
inference(resolution,[],[f13,f4]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_0,X2,X1)
| c_lessequals(c_0,c_times(X0,X2,X1),X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(resolution,[],[f6,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.IgJaCzKo5j/Vampire---4.8_22564',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f6,axiom,
! [X2,X4,X5] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
| ~ c_lessequals(c_0,X5,X2)
| ~ c_lessequals(c_0,X4,X2)
| c_lessequals(c_0,c_times(X5,X4,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IgJaCzKo5j/Vampire---4.8_22564',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.IgJaCzKo5j/Vampire---4.8_22564',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 18:54:09 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.IgJaCzKo5j/Vampire---4.8_22564
% 0.15/0.38 % (22673)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (22678)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.44 % (22679)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.44 % (22676)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.44 % (22675)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.44 % (22677)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.44 % (22674)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.44 % (22680)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.44 % (22677)First to succeed.
% 0.23/0.44 % (22680)Also succeeded, but the first one will report.
% 0.23/0.44 % (22676)Also succeeded, but the first one will report.
% 0.23/0.44 % (22677)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (22677)------------------------------
% 0.23/0.44 % (22677)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (22677)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (22677)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (22677)Memory used [KB]: 895
% 0.23/0.44 % (22677)Time elapsed: 0.006 s
% 0.23/0.44 % (22677)------------------------------
% 0.23/0.44 % (22677)------------------------------
% 0.23/0.44 % (22673)Success in time 0.064 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------