TSTP Solution File: ANA029-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA029-2 : 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 : n017.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 10:31:17 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 53 ( 7 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 135 ( 63 ~; 66 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f31,f58,f67,f97,f101,f106]) ).
fof(f106,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f103,f32]) ).
fof(f32,plain,
( c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| ~ spl0_2 ),
inference(resolution,[],[f26,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f26,plain,
( ! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> ! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f103,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b)
| spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f96,f57]) ).
fof(f57,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_6
<=> c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f96,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)
| ~ c_lessequals(X0,c_0,t_b) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_8
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_0,t_b)
| c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f101,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f99,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f99,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_7 ),
inference(resolution,[],[f93,f13]) ).
fof(f13,axiom,
! [X7] :
( class_OrderedGroup_Olordered__ab__group__abs(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f93,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_7
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f97,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f95,f91]) ).
fof(f84,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_0,t_b)
| c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(resolution,[],[f79,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X0,X2,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f73,f3]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X3,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f28,f14]) ).
fof(f14,axiom,
! [X7] :
( class_OrderedGroup_Opordered__ab__group__add(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(X0,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_OrderedGroup_Opordered__ab__group__add(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f9,axiom,
! [X3,X0,X6,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X4,X3,X0)
| ~ c_lessequals(X3,X6,X0)
| c_lessequals(X4,X6,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f67,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f65,f3]) ).
fof(f65,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f62,f13]) ).
fof(f62,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(resolution,[],[f53,f4]) ).
fof(f53,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_5
<=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f58,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f49,f21,f55,f51]) ).
fof(f21,plain,
( spl0_1
<=> class_Orderings_Olinorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f49,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f46,f22]) ).
fof(f22,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f46,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f2,f8]) ).
fof(f8,axiom,
! [X3,X6,X4,X5] :
( c_lessequals(c_Orderings_Omax(X4,X3,X5),X6,X5)
| ~ c_lessequals(X4,X6,X5)
| ~ c_lessequals(X3,X6,X5)
| ~ class_Orderings_Olinorder(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f2,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f31,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f30,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f29,f3]) ).
fof(f29,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f23,f12]) ).
fof(f12,axiom,
! [X7] :
( class_Orderings_Olinorder(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f23,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f27,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
fof(f19,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f17,f7]) ).
fof(f7,axiom,
! [X3,X0,X4] :
( c_less(X3,X4,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_less(X0,X1,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_less(X0,X1,X2)
| c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f15,f14]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,X1,X2)
| ~ c_less(X0,X1,X2) ),
inference(resolution,[],[f10,f11]) ).
fof(f10,axiom,
! [X3,X0,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X4,X3,X0)
| c_lessequals(X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.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 : Mon Apr 29 23:42:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21393)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (21398)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.37 % (21400)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.37 % (21399)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (21399)First to succeed.
% 0.22/0.38 TRYING [4]
% 0.22/0.38 % (21399)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (21399)------------------------------
% 0.22/0.38 % (21399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (21399)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (21399)Memory used [KB]: 783
% 0.22/0.38 % (21399)Time elapsed: 0.005 s
% 0.22/0.38 % (21399)Instructions burned: 6 (million)
% 0.22/0.38 % (21399)------------------------------
% 0.22/0.38 % (21399)------------------------------
% 0.22/0.38 % (21393)Success in time 0.022 s
% 0.22/0.39 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.22/0.39 21393 Aborted by signal SIGABRT on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.39 % (21393)------------------------------
% 0.22/0.39 % (21393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (21393)Termination reason: Unknown
% 0.22/0.39 % (21393)Termination phase: Unknown
% 0.22/0.39
% 0.22/0.39 % (21393)Memory used [KB]: 410
% 0.22/0.39 % (21393)Time elapsed: 0.036 s
% 0.22/0.39 % (21393)Instructions burned: 42 (million)
% 0.22/0.39 % Exception at proof search level% (21393)------------------------------
% 0.22/0.39 % (21393)------------------------------
% 0.22/0.39 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 System fail: ???
% 0.22/0.39 Cannot decrease semaphore. error 43: Identifier removed ???
% 0.22/0.39
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
% 0.22/0.39 ???
%------------------------------------------------------------------------------