TSTP Solution File: ANA030-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA030-2 : 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 04:32:07 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 19 unt; 0 def)
% Number of atoms : 119 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 53 ~; 53 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1376,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f232,f249,f253,f1375]) ).
fof(f1375,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1374,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f746,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f746,plain,
( ! [X0] : c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f301,f646]) ).
fof(f646,plain,
! [X0,X1] : c_plus(X1,X0,t_b) = c_plus(X0,X1,t_b),
inference(superposition,[],[f596,f29]) ).
fof(f29,plain,
! [X0,X1] : c_minus(X1,c_uminus(X0,t_b),t_b) = c_plus(X1,X0,t_b),
inference(superposition,[],[f28,f18]) ).
fof(f18,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[],[f17,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f17,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_uminus(c_uminus(X0,X1),X1) = X0 ),
inference(resolution,[],[f10,f15]) ).
fof(f15,axiom,
! [X9] :
( class_OrderedGroup_Oab__group__add(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f10,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
fof(f28,plain,
! [X0,X1] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
inference(resolution,[],[f20,f3]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(X0,c_uminus(X1,X2),X2) = c_minus(X0,X1,X2) ),
inference(resolution,[],[f5,f15]) ).
fof(f5,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X3,c_uminus(X4,X1),X1) = c_minus(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__1_0) ).
fof(f596,plain,
! [X0,X1] : c_minus(X1,c_uminus(X0,t_b),t_b) = c_plus(X0,X1,t_b),
inference(superposition,[],[f590,f18]) ).
fof(f590,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f589,f32]) ).
fof(f32,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_uminus(c_minus(X0,X1,t_b),t_b),
inference(resolution,[],[f22,f3]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2) ),
inference(resolution,[],[f9,f15]) ).
fof(f9,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X3,X4,X1),X1) = c_minus(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f589,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f570,f29]) ).
fof(f570,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b),
inference(superposition,[],[f569,f28]) ).
fof(f569,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_minus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f568,f28]) ).
fof(f568,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b),
inference(resolution,[],[f309,f3]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_plus(X0,X1,X2),X2) = c_plus(c_uminus(X0,X2),c_uminus(X1,X2),X2) ),
inference(resolution,[],[f8,f15]) ).
fof(f8,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_plus(X3,X4,X1),X1) = c_plus(c_uminus(X3,X1),c_uminus(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).
fof(f301,plain,
( ! [X0] : c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f262,f228]) ).
fof(f228,plain,
( ! [X0] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_2
<=> ! [X0] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f262,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_plus(X2,X1,t_b),t_b) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f256,f29]) ).
fof(f256,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,c_uminus(X1,t_b),t_b),t_b) )
| ~ spl0_4 ),
inference(superposition,[],[f248,f28]) ).
fof(f248,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,X1,t_b),t_b) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_4
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f253,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f251,f3]) ).
fof(f251,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_3 ),
inference(resolution,[],[f250,f16]) ).
fof(f16,axiom,
! [X9] :
( class_OrderedGroup_Olordered__ab__group__abs(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f250,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_3 ),
inference(resolution,[],[f245,f13]) ).
fof(f13,axiom,
! [X9] :
( class_OrderedGroup_Opordered__ab__group__add(X9)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f245,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_3
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f249,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f237,f247,f243]) ).
fof(f237,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(forward_demodulation,[],[f235,f28]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(X0,c_plus(X2,c_uminus(X1,t_b),t_b),t_b) ),
inference(superposition,[],[f6,f29]) ).
fof(f6,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(c_minus(X3,X4,X1),X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(X3,c_plus(X5,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f232,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f230,f3]) ).
fof(f230,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f225,f14]) ).
fof(f14,axiom,
! [X9] :
( class_Orderings_Olinorder(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f225,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl0_1
<=> class_Orderings_Olinorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f229,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f221,f227,f223]) ).
fof(f221,plain,
! [X0] :
( c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f220,f12]) ).
fof(f12,axiom,
! [X2,X8,X6,X7] :
( ~ c_lessequals(c_Orderings_Omax(X7,X2,X6),X8,X6)
| c_lessequals(X7,X8,X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f220,plain,
! [X0] : c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(superposition,[],[f1,f219]) ).
fof(f219,plain,
! [X0] : c_Orderings_Omax(X0,c_0,t_b) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b),
inference(resolution,[],[f218,f3]) ).
fof(f218,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_Orderings_Omax(X0,c_0,X1) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,X1),X1) ),
inference(subsumption_resolution,[],[f217,f16]) ).
fof(f217,plain,
! [X0,X1] :
( c_Orderings_Omax(X0,c_0,X1) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(resolution,[],[f19,f14]) ).
fof(f19,plain,
! [X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| c_Orderings_Omax(X1,c_0,X0) = c_HOL_Oabs(c_Orderings_Omax(X1,c_0,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X2,X6,X7] :
( c_lessequals(X2,c_Orderings_Omax(X7,X2,X6),X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f4,axiom,
! [X2,X1] :
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),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_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:31:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (7017)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (7021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (7022)WARNING: value z3 for option sas not known
% 0.14/0.37 % (7020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (7022)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)
% 0.14/0.37 % (7024)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)
% 0.14/0.37 % (7027)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (7023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [2]
% 0.14/0.38 % (7025)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 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.20/0.41 % (7022)First to succeed.
% 0.20/0.41 % (7022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7017"
% 0.20/0.42 % (7022)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (7022)------------------------------
% 0.20/0.42 % (7022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (7022)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (7022)Memory used [KB]: 1329
% 0.20/0.42 % (7022)Time elapsed: 0.043 s
% 0.20/0.42 % (7022)Instructions burned: 77 (million)
% 0.20/0.42 % (7017)Success in time 0.06 s
%------------------------------------------------------------------------------