TSTP Solution File: ANA034-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA034-1 : 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 : 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 : Wed Aug 30 17:23:13 EDT 2023
% Result : Timeout 288.01s 41.60s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 66 ( 42 unt; 0 def)
% Number of atoms : 114 ( 25 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 101 ( 53 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 22 con; 0-3 aty)
% Number of variables : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72725,plain,
$false,
inference(subsumption_resolution,[],[f72724,f5266]) ).
fof(f5266,plain,
c_lessequals(c_0,sF1,t_b),
inference(subsumption_resolution,[],[f5254,f3771]) ).
fof(f3771,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f2463,f2796]) ).
fof(f2796,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',tfree_tcs) ).
fof(f2463,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_OrderedGroup_Olordered__ab__group__abs(X87) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f5254,plain,
( c_lessequals(c_0,sF1,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1071,f2798]) ).
fof(f2798,plain,
c_HOL_Oabs(sF0,t_b) = sF1,
introduced(function_definition,[]) ).
fof(f1071,axiom,
! [X3,X0] :
( c_lessequals(c_0,c_HOL_Oabs(X3,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f72724,plain,
~ c_lessequals(c_0,sF1,t_b),
inference(subsumption_resolution,[],[f72723,f2802]) ).
fof(f2802,plain,
c_lessequals(sF1,sF4,t_b),
inference(definition_folding,[],[f2793,f2801,f2800,f2799,f2798,f2797]) ).
fof(f2797,plain,
v_b(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f2799,plain,
v_g(v_x) = sF2,
introduced(function_definition,[]) ).
fof(f2800,plain,
c_HOL_Oabs(sF2,t_b) = sF3,
introduced(function_definition,[]) ).
fof(f2801,plain,
c_times(v_ca,sF3,t_b) = sF4,
introduced(function_definition,[]) ).
fof(f2793,axiom,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_conjecture_3) ).
fof(f72723,plain,
( ~ c_lessequals(sF1,sF4,t_b)
| ~ c_lessequals(c_0,sF1,t_b) ),
inference(subsumption_resolution,[],[f72722,f2808]) ).
fof(f2808,plain,
c_lessequals(sF6,sF9,t_b),
inference(definition_folding,[],[f2792,f2807,f2806,f2805,f2804,f2803]) ).
fof(f2803,plain,
v_a(v_x) = sF5,
introduced(function_definition,[]) ).
fof(f2804,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
introduced(function_definition,[]) ).
fof(f2805,plain,
v_f(v_x) = sF7,
introduced(function_definition,[]) ).
fof(f2806,plain,
c_HOL_Oabs(sF7,t_b) = sF8,
introduced(function_definition,[]) ).
fof(f2807,plain,
c_times(v_c,sF8,t_b) = sF9,
introduced(function_definition,[]) ).
fof(f2792,axiom,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_conjecture_2) ).
fof(f72722,plain,
( ~ c_lessequals(sF6,sF9,t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| ~ c_lessequals(c_0,sF1,t_b) ),
inference(subsumption_resolution,[],[f72695,f2815]) ).
fof(f2815,plain,
~ c_lessequals(sF11,sF15,t_b),
inference(definition_folding,[],[f2795,f2814,f2813,f2812,f2799,f2805,f2811,f2810,f2809,f2797,f2803]) ).
fof(f2809,plain,
c_times(sF5,sF0,t_b) = sF10,
introduced(function_definition,[]) ).
fof(f2810,plain,
c_HOL_Oabs(sF10,t_b) = sF11,
introduced(function_definition,[]) ).
fof(f2811,plain,
c_times(v_c,v_ca,t_b) = sF12,
introduced(function_definition,[]) ).
fof(f2812,plain,
c_times(sF7,sF2,t_b) = sF13,
introduced(function_definition,[]) ).
fof(f2813,plain,
c_HOL_Oabs(sF13,t_b) = sF14,
introduced(function_definition,[]) ).
fof(f2814,plain,
c_times(sF12,sF14,t_b) = sF15,
introduced(function_definition,[]) ).
fof(f2795,axiom,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_conjecture_5) ).
fof(f72695,plain,
( c_lessequals(sF11,sF15,t_b)
| ~ c_lessequals(sF6,sF9,t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| ~ c_lessequals(c_0,sF1,t_b) ),
inference(superposition,[],[f34987,f72171]) ).
fof(f72171,plain,
sF11 = c_times(sF6,sF1,t_b),
inference(forward_demodulation,[],[f43199,f2810]) ).
fof(f43199,plain,
c_HOL_Oabs(sF10,t_b) = c_times(sF6,sF1,t_b),
inference(forward_demodulation,[],[f43168,f2798]) ).
fof(f43168,plain,
c_HOL_Oabs(sF10,t_b) = c_times(sF6,c_HOL_Oabs(sF0,t_b),t_b),
inference(superposition,[],[f21208,f2809]) ).
fof(f21208,plain,
! [X32] : c_HOL_Oabs(c_times(sF5,X32,t_b),t_b) = c_times(sF6,c_HOL_Oabs(X32,t_b),t_b),
inference(subsumption_resolution,[],[f21082,f2796]) ).
fof(f21082,plain,
! [X32] :
( c_HOL_Oabs(c_times(sF5,X32,t_b),t_b) = c_times(sF6,c_HOL_Oabs(X32,t_b),t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(superposition,[],[f2785,f2804]) ).
fof(f2785,axiom,
! [X3,X0,X1] :
( c_HOL_Oabs(c_times(X3,X1,X0),X0) = c_times(c_HOL_Oabs(X3,X0),c_HOL_Oabs(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f34987,plain,
! [X150,X151] :
( c_lessequals(c_times(X150,X151,t_b),sF15,t_b)
| ~ c_lessequals(X150,sF9,t_b)
| ~ c_lessequals(X151,sF4,t_b)
| ~ c_lessequals(c_0,X151,t_b) ),
inference(forward_demodulation,[],[f34986,f2817]) ).
fof(f2817,plain,
sF15 = sF16,
inference(definition_folding,[],[f2794,f2816,f2801,f2800,f2799,f2807,f2806,f2805,f2814,f2813,f2812,f2799,f2805,f2811]) ).
fof(f2816,plain,
c_times(sF9,sF4,t_b) = sF16,
introduced(function_definition,[]) ).
fof(f2794,axiom,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_conjecture_4) ).
fof(f34986,plain,
! [X150,X151] :
( c_lessequals(c_times(X150,X151,t_b),sF16,t_b)
| ~ c_lessequals(X150,sF9,t_b)
| ~ c_lessequals(X151,sF4,t_b)
| ~ c_lessequals(c_0,X151,t_b) ),
inference(subsumption_resolution,[],[f34985,f3727]) ).
fof(f3727,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f3680,f2346]) ).
fof(f2346,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
| class_Ring__and__Field_Opordered__semiring(X87) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f3680,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(t_b),
inference(resolution,[],[f2441,f2796]) ).
fof(f2441,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X87) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f34985,plain,
! [X150,X151] :
( c_lessequals(c_times(X150,X151,t_b),sF16,t_b)
| ~ c_lessequals(X150,sF9,t_b)
| ~ c_lessequals(X151,sF4,t_b)
| ~ c_lessequals(c_0,X151,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(subsumption_resolution,[],[f34903,f26793]) ).
fof(f26793,plain,
c_lessequals(c_0,sF9,t_b),
inference(subsumption_resolution,[],[f26792,f3705]) ).
fof(f3705,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(resolution,[],[f2452,f2796]) ).
fof(f2452,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__idom(X87)
| class_Ring__and__Field_Opordered__cancel__semiring(X87) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f26792,plain,
( c_lessequals(c_0,sF9,t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(subsumption_resolution,[],[f26791,f5269]) ).
fof(f5269,plain,
c_lessequals(c_0,sF8,t_b),
inference(subsumption_resolution,[],[f5257,f3771]) ).
fof(f5257,plain,
( c_lessequals(c_0,sF8,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1071,f2806]) ).
fof(f26791,plain,
( c_lessequals(c_0,sF9,t_b)
| ~ c_lessequals(c_0,sF8,t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(subsumption_resolution,[],[f21307,f6248]) ).
fof(f6248,plain,
c_lessequals(c_0,v_c,t_b),
inference(subsumption_resolution,[],[f6240,f3720]) ).
fof(f3720,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f3680,f2339]) ).
fof(f2339,axiom,
! [X87] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X87)
| class_Orderings_Oorder(X87) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f6240,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,v_c,t_b) ),
inference(resolution,[],[f2784,f2790]) ).
fof(f2790,axiom,
c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_conjecture_0) ).
fof(f2784,axiom,
! [X10,X0,X12] :
( ~ c_less(X12,X10,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X12,X10,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f21307,plain,
( c_lessequals(c_0,sF9,t_b)
| ~ c_lessequals(c_0,v_c,t_b)
| ~ c_lessequals(c_0,sF8,t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(superposition,[],[f2787,f2807]) ).
fof(f2787,axiom,
! [X3,X0,X1] :
( c_lessequals(c_0,c_times(X3,X1,X0),X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f34903,plain,
! [X150,X151] :
( c_lessequals(c_times(X150,X151,t_b),sF16,t_b)
| ~ c_lessequals(X150,sF9,t_b)
| ~ c_lessequals(X151,sF4,t_b)
| ~ c_lessequals(c_0,sF9,t_b)
| ~ c_lessequals(c_0,X151,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f2786,f2816]) ).
fof(f2786,axiom,
! [X3,X0,X78,X1,X25] :
( c_lessequals(c_times(X3,X25,X0),c_times(X1,X78,X0),X0)
| ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X25,X78,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(c_0,X25,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122',cls_Ring__and__Field_Omult__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.23/0.32 % Problem : ANA034-1 : TPTP v8.1.2. Released v3.2.0.
% 0.32/0.33 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.32/0.55 % Computer : n015.cluster.edu
% 0.32/0.55 % Model : x86_64 x86_64
% 0.32/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.32/0.55 % Memory : 8042.1875MB
% 0.32/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.32/0.55 % CPULimit : 300
% 0.32/0.55 % WCLimit : 300
% 0.32/0.55 % DateTime : Fri Aug 25 18:31:22 EDT 2023
% 0.32/0.55 % CPUTime :
% 0.32/0.55 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.32/0.55 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GOiYGwI1Gv/Vampire---4.8_32122
% 0.32/0.55 % (32235)Running in auto input_syntax mode. Trying TPTP
% 0.32/0.67 % (32242)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.32/0.69 % (32237)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)
% 0.32/0.69 % (32239)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)
% 0.32/0.69 % (32238)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)
% 0.32/0.69 % (32236)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)
% 0.32/0.69 % (32241)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)
% 0.32/0.69 % (32240)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)
% 277.92/40.17 % (32242)Time limit reached!
% 277.92/40.17 % (32242)------------------------------
% 277.92/40.17 % (32242)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 277.92/40.17 % (32242)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 277.92/40.17 % (32242)Termination reason: Time limit
% 277.92/40.17 % (32242)Termination phase: Saturation
% 277.92/40.17
% 277.92/40.17 % (32242)Memory used [KB]: 732653
% 277.92/40.17 % (32242)Time elapsed: 39.500 s
% 277.92/40.17 % (32242)------------------------------
% 277.92/40.17 % (32242)------------------------------
% 278.49/40.24 % (32290)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_392 on Vampire---4 for (392ds/0Mi)
% 280.95/40.59 % (32241)Time limit reached!
% 280.95/40.59 % (32241)------------------------------
% 280.95/40.59 % (32241)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 280.95/40.59 % (32241)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 280.95/40.59 % (32241)Termination reason: Time limit
% 280.95/40.59 % (32241)Termination phase: Saturation
% 280.95/40.59
% 280.95/40.59 % (32241)Memory used [KB]: 155050
% 280.95/40.59 % (32241)Time elapsed: 39.900 s
% 280.95/40.59 % (32241)------------------------------
% 280.95/40.59 % (32241)------------------------------
% 281.08/40.64 % (32291)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_373 on Vampire---4 for (373ds/0Mi)
% 288.01/41.60 % (32290)First to succeed.
% 288.01/41.61 % (32290)Refutation found. Thanks to Tanya!
% 288.01/41.61 % SZS status Unsatisfiable for Vampire---4
% 288.01/41.61 % SZS output start Proof for Vampire---4
% See solution above
% 288.01/41.61 % (32290)------------------------------
% 288.01/41.61 % (32290)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 288.01/41.61 % (32290)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 288.01/41.61 % (32290)Termination reason: Refutation
% 288.01/41.61
% 288.01/41.61 % (32290)Memory used [KB]: 50660
% 288.01/41.61 % (32290)Time elapsed: 1.364 s
% 288.01/41.61 % (32290)------------------------------
% 288.01/41.61 % (32290)------------------------------
% 288.01/41.61 % (32235)Success in time 41.048 s
% 288.01/41.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------