TSTP Solution File: ANA010-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA010-2 : 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 : n014.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 04:31:31 EDT 2024
% Result : Unsatisfiable 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 53 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f25,f54]) ).
fof(f54,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f50,f5]) ).
fof(f5,axiom,
! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f50,plain,
( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)
| ~ spl0_1 ),
inference(superposition,[],[f37,f30]) ).
fof(f30,plain,
( ! [X0] : c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f28,f10]) ).
fof(f10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f8,f9]) ).
fof(f9,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f8,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f28,plain,
( ! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) )
| ~ spl0_1 ),
inference(resolution,[],[f27,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f27,plain,
( ! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b)
| ~ spl0_1 ),
inference(resolution,[],[f17,f5]) ).
fof(f17,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_1
<=> ! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f37,plain,
! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[],[f6,f26]) ).
fof(f26,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f3,f9]) ).
fof(f3,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f6,axiom,
! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f25,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f24,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f23,f10]) ).
fof(f23,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_2 ),
inference(resolution,[],[f21,f7]) ).
fof(f7,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f21,plain,
( ~ class_Orderings_Oorder(t_b)
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_2
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f22,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f13,f19,f16]) ).
fof(f13,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(resolution,[],[f2,f4]) ).
fof(f4,axiom,
! [X6] : c_lessequals(c_0,v_f(X6),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Fri May 3 15:29:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (5734)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (5740)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.35 TRYING [1]
% 0.15/0.35 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.35 % (5741)WARNING: value z3 for option sas not known
% 0.15/0.36 % (5742)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 % (5741)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)
% 0.15/0.36 % (5738)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36 % (5743)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)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.36 % (5746)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)
% 0.15/0.36 TRYING [2]
% 0.15/0.36 TRYING [3]
% 0.15/0.36 TRYING [3]
% 0.15/0.36 % (5745)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)
% 0.15/0.36 % (5741)First to succeed.
% 0.15/0.36 % (5746)Also succeeded, but the first one will report.
% 0.15/0.36 % (5741)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5734"
% 0.15/0.36 % (5741)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (5741)------------------------------
% 0.15/0.36 % (5741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36 % (5741)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (5741)Memory used [KB]: 843
% 0.15/0.36 % (5741)Time elapsed: 0.006 s
% 0.15/0.36 % (5741)Instructions burned: 5 (million)
% 0.15/0.36 % (5734)Success in time 0.023 s
%------------------------------------------------------------------------------