TSTP Solution File: ANA045-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA045-1 : 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 : n002.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 : Tue Apr 30 10:31:30 EDT 2024
% Result : Unsatisfiable 1.33s 0.65s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 81 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 63 ( 28 ~; 27 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5572,plain,
$false,
inference(avatar_sat_refutation,[],[f5177,f5313,f5316,f5388,f5392,f5486,f5571]) ).
fof(f5571,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f5570]) ).
fof(f5570,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f5569,f5312]) ).
fof(f5312,plain,
( c_lessequals(c_0,c_0,t_b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f5310]) ).
fof(f5310,plain,
( spl0_4
<=> c_lessequals(c_0,c_0,t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f5569,plain,
~ c_lessequals(c_0,c_0,t_b),
inference(superposition,[],[f2783,f5513]) ).
fof(f5513,plain,
! [X0] : c_0 = c_times(c_0,X0,t_b),
inference(resolution,[],[f1363,f2784]) ).
fof(f2784,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1363,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_0 = c_times(c_0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__left1_1) ).
fof(f2783,axiom,
! [X29] : ~ c_lessequals(c_0,c_times(X29,c_HOL_Oabs(v_g(v_x(X29)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5486,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5471,f5483,f5480]) ).
fof(f5480,plain,
( spl0_7
<=> ! [X0] : c_0 = c_OrderedGroup_Onprt(X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f5483,plain,
( spl0_8
<=> class_OrderedGroup_Olordered__ab__group(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f5471,plain,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group(tc_nat)
| c_0 = c_OrderedGroup_Onprt(X0,tc_nat) ),
inference(resolution,[],[f1135,f936]) ).
fof(f936,axiom,
! [X23] :
( ~ c_lessequals(X23,c_0,tc_nat)
| c_0 = X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_0) ).
fof(f1135,axiom,
! [X3,X0] :
( c_lessequals(c_OrderedGroup_Onprt(X3,X0),c_0,X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Onprt__le__zero_0) ).
fof(f5392,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f5391]) ).
fof(f5391,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f5390,f2784]) ).
fof(f5390,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f5383,f2463]) ).
fof(f2463,axiom,
! [X87] :
( class_OrderedGroup_Olordered__ab__group__abs(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f5383,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f5381]) ).
fof(f5381,plain,
( spl0_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5388,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f5378,f5385,f5381]) ).
fof(f5385,plain,
( spl0_6
<=> c_lessequals(c_0,c_1,t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f5378,plain,
( c_lessequals(c_0,c_1,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1071,f5201]) ).
fof(f5201,plain,
c_1 = c_HOL_Oabs(c_1,t_b),
inference(resolution,[],[f1288,f2784]) ).
fof(f1288,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_1 = c_HOL_Oabs(c_1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__one_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f5316,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f5315]) ).
fof(f5315,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f5314,f2784]) ).
fof(f5314,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_3 ),
inference(resolution,[],[f5308,f2468]) ).
fof(f2468,axiom,
! [X87] :
( class_Ring__and__Field_Oordered__semidom(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f5308,plain,
( ~ class_Ring__and__Field_Oordered__semidom(t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f5306]) ).
fof(f5306,plain,
( spl0_3
<=> class_Ring__and__Field_Oordered__semidom(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f5313,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f5302,f5310,f5306]) ).
fof(f5302,plain,
( c_lessequals(c_0,c_0,t_b)
| ~ class_Ring__and__Field_Oordered__semidom(t_b) ),
inference(superposition,[],[f699,f5222]) ).
fof(f5222,plain,
c_0 = c_NatArith_Oof__nat(c_0,t_b),
inference(resolution,[],[f5139,f2784]) ).
fof(f5139,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_0 = c_NatArith_Oof__nat(c_0,X0) ),
inference(resolution,[],[f698,f2468]) ).
fof(f698,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_0 = c_NatArith_Oof__nat(c_0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__0__eq__iff_1) ).
fof(f699,axiom,
! [X0,X11] :
( c_lessequals(c_0,c_NatArith_Oof__nat(X11,X0),X0)
| ~ class_Ring__and__Field_Oordered__semidom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatArith_Oof__nat__0__le__iff_0) ).
fof(f5177,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5168,f5174,f5170]) ).
fof(f5170,plain,
( spl0_1
<=> class_Numeral_Onumber__ring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f5174,plain,
( spl0_2
<=> c_IntDef_Oiszero(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f5168,plain,
( c_IntDef_Oiszero(c_0,tc_nat)
| ~ class_Numeral_Onumber__ring(tc_nat) ),
inference(superposition,[],[f1037,f760]) ).
fof(f760,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f1037,axiom,
! [X0] :
( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
| ~ class_Numeral_Onumber__ring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__rel__simps__2_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ANA045-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n002.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 : Tue Apr 30 00:27:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (29431)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (29465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.52 % (29468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.52 % (29467)WARNING: value z3 for option sas not known
% 0.22/0.52 % (29470)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)
% 0.22/0.52 % (29467)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)
% 0.22/0.52 % (29466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.52 % (29469)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)
% 0.22/0.53 % (29471)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)
% 1.27/0.65 % (29467)First to succeed.
% 1.33/0.65 % (29467)Refutation found. Thanks to Tanya!
% 1.33/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.65 % (29467)------------------------------
% 1.33/0.65 % (29467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.33/0.65 % (29467)Termination reason: Refutation
% 1.33/0.65
% 1.33/0.65 % (29467)Memory used [KB]: 4468
% 1.33/0.65 % (29467)Time elapsed: 0.130 s
% 1.33/0.65 % (29467)Instructions burned: 244 (million)
% 1.33/0.65 % (29467)------------------------------
% 1.33/0.65 % (29467)------------------------------
% 1.33/0.65 % (29431)Success in time 0.279 s
%------------------------------------------------------------------------------