TSTP Solution File: ANA032-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA032-1 : 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 : n022.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 17:23:13 EDT 2023
% Result : Unsatisfiable 158.85s 23.60s
% Output : Refutation 158.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 42 ( 32 unt; 0 def)
% Number of atoms : 54 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f615583,plain,
$false,
inference(subsumption_resolution,[],[f615581,f2801]) ).
fof(f2801,plain,
~ c_lessequals(sF7,sF9,t_b),
inference(definition_folding,[],[f2788,f2800,f2799,f2793,f2792,f2797,f2796,f2798,f2797,f2796,f2791,f2790]) ).
fof(f2790,plain,
v_b(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f2791,plain,
c_HOL_Oabs(sF0,t_b) = sF1,
introduced(function_definition,[]) ).
fof(f2798,plain,
c_times(sF1,sF6,t_b) = sF7,
introduced(function_definition,[]) ).
fof(f2796,plain,
v_f(v_x) = sF5,
introduced(function_definition,[]) ).
fof(f2797,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
introduced(function_definition,[]) ).
fof(f2792,plain,
v_g(v_x) = sF2,
introduced(function_definition,[]) ).
fof(f2793,plain,
c_HOL_Oabs(sF2,t_b) = sF3,
introduced(function_definition,[]) ).
fof(f2799,plain,
c_times(sF6,sF3,t_b) = sF8,
introduced(function_definition,[]) ).
fof(f2800,plain,
c_times(v_c,sF8,t_b) = sF9,
introduced(function_definition,[]) ).
fof(f2788,axiom,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_conjecture_1) ).
fof(f615581,plain,
c_lessequals(sF7,sF9,t_b),
inference(backward_demodulation,[],[f122056,f615580]) ).
fof(f615580,plain,
sF9 = c_times(sF4,sF6,t_b),
inference(forward_demodulation,[],[f615541,f2800]) ).
fof(f615541,plain,
c_times(v_c,sF8,t_b) = c_times(sF4,sF6,t_b),
inference(superposition,[],[f352540,f352652]) ).
fof(f352652,plain,
sF8 = c_times(sF3,sF6,t_b),
inference(subsumption_resolution,[],[f352622,f2963]) ).
fof(f2963,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(unit_resulting_resolution,[],[f2789,f2426]) ).
fof(f2426,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_OrderedGroup_Oab__semigroup__mult(X87) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f2789,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',tfree_tcs) ).
fof(f352622,plain,
( sF8 = c_times(sF3,sF6,t_b)
| ~ class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(superposition,[],[f2799,f2782]) ).
fof(f2782,axiom,
! [X3,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X3,X1,X0) = c_times(X1,X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f352540,plain,
! [X3] : c_times(sF4,X3,t_b) = c_times(v_c,c_times(sF3,X3,t_b),t_b),
inference(subsumption_resolution,[],[f352519,f2968]) ).
fof(f2968,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(unit_resulting_resolution,[],[f2789,f2431]) ).
fof(f2431,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_OrderedGroup_Osemigroup__mult(X87) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f352519,plain,
! [X3] :
( c_times(sF4,X3,t_b) = c_times(v_c,c_times(sF3,X3,t_b),t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(superposition,[],[f2781,f2794]) ).
fof(f2794,plain,
c_times(v_c,sF3,t_b) = sF4,
introduced(function_definition,[]) ).
fof(f2781,axiom,
! [X3,X0,X1,X25] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X3,X1,X0),X25,X0) = c_times(X3,c_times(X1,X25,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f122056,plain,
c_lessequals(sF7,c_times(sF4,sF6,t_b),t_b),
inference(forward_demodulation,[],[f122055,f2798]) ).
fof(f122055,plain,
c_lessequals(c_times(sF1,sF6,t_b),c_times(sF4,sF6,t_b),t_b),
inference(forward_demodulation,[],[f122054,f3629]) ).
fof(f3629,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(unit_resulting_resolution,[],[f2963,f2782]) ).
fof(f122054,plain,
c_lessequals(c_times(sF6,sF1,t_b),c_times(sF4,sF6,t_b),t_b),
inference(forward_demodulation,[],[f121805,f3629]) ).
fof(f121805,plain,
c_lessequals(c_times(sF6,sF1,t_b),c_times(sF6,sF4,t_b),t_b),
inference(unit_resulting_resolution,[],[f2795,f2991,f116372,f2784]) ).
fof(f2784,axiom,
! [X3,X0,X1,X25] :
( ~ class_Ring__and__Field_Opordered__semiring(X0)
| ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(c_0,X25,X0)
| c_lessequals(c_times(X25,X3,X0),c_times(X25,X1,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f116372,plain,
c_lessequals(c_0,sF6,t_b),
inference(superposition,[],[f5225,f2797]) ).
fof(f5225,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f2999,f1071]) ).
fof(f1071,axiom,
! [X3,X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X3,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f2999,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unit_resulting_resolution,[],[f2789,f2463]) ).
fof(f2463,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_OrderedGroup_Olordered__ab__group__abs(X87) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2991,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unit_resulting_resolution,[],[f2789,f2454]) ).
fof(f2454,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_Ring__and__Field_Opordered__semiring(X87) ),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2795,plain,
c_lessequals(sF1,sF4,t_b),
inference(definition_folding,[],[f2787,f2794,f2793,f2792,f2791,f2790]) ).
fof(f2787,axiom,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.35 % Problem : ANA032-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.37 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.37/0.58 % Computer : n022.cluster.edu
% 0.37/0.58 % Model : x86_64 x86_64
% 0.37/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.37/0.58 % Memory : 8042.1875MB
% 0.37/0.58 % OS : Linux 3.10.0-693.el7.x86_64
% 0.37/0.58 % CPULimit : 300
% 0.37/0.58 % WCLimit : 300
% 0.37/0.58 % DateTime : Fri Aug 25 18:05:10 EDT 2023
% 0.37/0.58 % CPUTime :
% 0.37/0.58 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.37/0.58 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.KUaTavgId5/Vampire---4.8_3633
% 0.37/0.59 % (3746)Running in auto input_syntax mode. Trying TPTP
% 0.37/0.70 % (3752)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.37/0.72 % (3751)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.37/0.72 % (3748)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.37/0.73 % (3753)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.37/0.73 % (3749)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.37/0.73 % (3747)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.37/0.74 % (3750)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 158.15/23.58 % (3749)First to succeed.
% 158.85/23.60 % (3749)Refutation found. Thanks to Tanya!
% 158.85/23.60 % SZS status Unsatisfiable for Vampire---4
% 158.85/23.60 % SZS output start Proof for Vampire---4
% See solution above
% 158.85/23.60 % (3749)------------------------------
% 158.85/23.60 % (3749)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 158.85/23.60 % (3749)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 158.85/23.60 % (3749)Termination reason: Refutation
% 158.85/23.60
% 158.85/23.60 % (3749)Memory used [KB]: 256115
% 158.85/23.60 % (3749)Time elapsed: 22.864 s
% 158.85/23.60 % (3749)------------------------------
% 158.85/23.60 % (3749)------------------------------
% 158.85/23.60 % (3746)Success in time 22.832 s
% 158.85/23.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------