TSTP Solution File: ANA024-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 15:45:00 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(subsumption_resolution,[],[f55,f13]) ).
fof(f13,plain,
~ c_lessequals(sF2,sF4,t_b),
inference(definition_folding,[],[f4,f12,f9,f11,f10,f9,f8]) ).
fof(f8,plain,
v_k(v_x) = sF0,
introduced(function_definition,[]) ).
fof(f10,plain,
sF2 = c_minus(sF0,sF1,t_b),
introduced(function_definition,[]) ).
fof(f11,plain,
v_f(v_x) = sF3,
introduced(function_definition,[]) ).
fof(f9,plain,
v_g(v_x) = sF1,
introduced(function_definition,[]) ).
fof(f12,plain,
sF4 = c_minus(sF3,sF1,t_b),
introduced(function_definition,[]) ).
fof(f4,axiom,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f55,plain,
c_lessequals(sF2,sF4,t_b),
inference(subsumption_resolution,[],[f54,f18]) ).
fof(f18,plain,
c_lessequals(sF0,sF3,t_b),
inference(forward_demodulation,[],[f17,f8]) ).
fof(f17,plain,
c_lessequals(v_k(v_x),sF3,t_b),
inference(superposition,[],[f3,f11]) ).
fof(f3,axiom,
! [X4] : c_lessequals(v_k(X4),v_f(X4),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f54,plain,
( ~ c_lessequals(sF0,sF3,t_b)
| c_lessequals(sF2,sF4,t_b) ),
inference(superposition,[],[f28,f12]) ).
fof(f28,plain,
! [X3] :
( c_lessequals(sF2,c_minus(X3,sF1,t_b),t_b)
| ~ c_lessequals(sF0,X3,t_b) ),
inference(subsumption_resolution,[],[f24,f14]) ).
fof(f14,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f6,f7]) ).
fof(f7,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f6,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f24,plain,
! [X3] :
( c_lessequals(sF2,c_minus(X3,sF1,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(sF0,X3,t_b) ),
inference(superposition,[],[f2,f21]) ).
fof(f21,plain,
c_plus(sF2,sF1,t_b) = sF0,
inference(superposition,[],[f20,f10]) ).
fof(f20,plain,
! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f1,f15]) ).
fof(f15,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
| class_OrderedGroup_Oab__group__add(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| c_lessequals(X1,c_minus(X3,X2,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:15:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.47 % (27866)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.48 % (27875)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.48 % (27875)First to succeed.
% 0.19/0.48 % (27875)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (27875)------------------------------
% 0.19/0.48 % (27875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (27875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (27875)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (27875)Memory used [KB]: 5373
% 0.19/0.48 % (27875)Time elapsed: 0.104 s
% 0.19/0.48 % (27875)Instructions burned: 3 (million)
% 0.19/0.48 % (27875)------------------------------
% 0.19/0.48 % (27875)------------------------------
% 0.19/0.48 % (27858)Success in time 0.129 s
%------------------------------------------------------------------------------