TSTP Solution File: ANA043-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 04:32:19 EDT 2024
% Result : Unsatisfiable 7.10s 1.37s
% Output : Refutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 62 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 36 ~; 31 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5130,plain,
$false,
inference(avatar_sat_refutation,[],[f193,f196,f5129]) ).
fof(f5129,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f5128]) ).
fof(f5128,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f5127,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f5127,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl0_1 ),
inference(resolution,[],[f5126,f9]) ).
fof(f9,axiom,
! [X5] :
( class_OrderedGroup_Olordered__ab__group__abs(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f5126,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_1 ),
inference(resolution,[],[f5125,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f5125,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b)
| ~ spl0_1 ),
inference(resolution,[],[f246,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f246,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b) )
| ~ spl0_1 ),
inference(resolution,[],[f245,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f245,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_times(X0,X3,t_b),c_times(X1,c_times(X0,X2,t_b),t_b),t_b)
| ~ c_lessequals(X3,c_times(X1,X2,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f50,f188]) ).
fof(f188,plain,
( class_Ring__and__Field_Opordered__semiring(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_1
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X0,X3,t_b),c_times(X1,c_times(X0,X2,t_b),t_b),t_b)
| ~ c_lessequals(X3,c_times(X1,X2,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f6,f11]) ).
fof(f11,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(resolution,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_times(X0,c_times(X1,X2,X3),X3) = c_times(X1,c_times(X0,X2,X3),X3) ),
inference(resolution,[],[f5,f7]) ).
fof(f7,axiom,
! [X5] :
( class_OrderedGroup_Oab__semigroup__mult(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_0) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f196,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f195,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f194,f3]) ).
fof(f194,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f189,f8]) ).
fof(f8,axiom,
! [X5] :
( class_Ring__and__Field_Opordered__semiring(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f189,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f193,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f46,f191,f187]) ).
fof(f191,plain,
( spl0_2
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_times(X1,c_times(X0,X2,t_b),t_b),c_times(X0,X3,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(c_times(X1,X2,t_b),X3,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,c_times(X0,X2,t_b),t_b),c_times(X0,X3,t_b),t_b)
| ~ c_lessequals(c_times(X1,X2,t_b),X3,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f6,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 15:51:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4682)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4685)WARNING: value z3 for option sas not known
% 0.14/0.38 % (4685)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 theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4689)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 theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (4688)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 theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (4686)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (4684)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (4687)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 theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (4683)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 7.10/1.36 % (4685)First to succeed.
% 7.10/1.36 % (4685)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4682"
% 7.10/1.37 % (4685)Refutation found. Thanks to Tanya!
% 7.10/1.37 % SZS status Unsatisfiable for theBenchmark
% 7.10/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.37 % (4685)------------------------------
% 7.10/1.37 % (4685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.10/1.37 % (4685)Termination reason: Refutation
% 7.10/1.37
% 7.10/1.37 % (4685)Memory used [KB]: 2698
% 7.10/1.37 % (4685)Time elapsed: 0.987 s
% 7.10/1.37 % (4685)Instructions burned: 2678 (million)
% 7.10/1.37 % (4682)Success in time 0.987 s
%------------------------------------------------------------------------------