TSTP Solution File: SWV239-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV239-2 : 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 : 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 : Wed Aug 31 18:55:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 55 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(subsumption_resolution,[],[f89,f13]) ).
fof(f13,plain,
~ c_lessequals(sF2,sF4,sF5),
inference(definition_folding,[],[f1,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
c_Message_Oanalz(v_G) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
c_union(sF0,v_H,tc_Message_Omsg) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
sF2 = c_Message_Oanalz(sF1),
introduced(function_definition,[]) ).
fof(f10,plain,
c_union(v_G,v_H,tc_Message_Omsg) = sF3,
introduced(function_definition,[]) ).
fof(f11,plain,
sF4 = c_Message_Oanalz(sF3),
introduced(function_definition,[]) ).
fof(f12,plain,
tc_set(tc_Message_Omsg) = sF5,
introduced(function_definition,[]) ).
fof(f1,axiom,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f89,plain,
c_lessequals(sF2,sF4,sF5),
inference(forward_demodulation,[],[f88,f9]) ).
fof(f88,plain,
c_lessequals(c_Message_Oanalz(sF1),sF4,sF5),
inference(subsumption_resolution,[],[f87,f78]) ).
fof(f78,plain,
c_lessequals(c_Message_Oanalz(sF0),sF0,sF5),
inference(superposition,[],[f60,f7]) ).
fof(f60,plain,
! [X5] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X5)),c_Message_Oanalz(X5),sF5),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
! [X5] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X5)),c_Message_Oanalz(X5),sF5)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X5)),c_Message_Oanalz(X5),sF5) ),
inference(forward_demodulation,[],[f55,f12]) ).
fof(f55,plain,
! [X5] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X5)),c_Message_Oanalz(X5),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X5)),c_Message_Oanalz(X5),sF5) ),
inference(resolution,[],[f25,f5]) ).
fof(f5,axiom,
! [X6,X7,X5] :
( ~ c_in(c_Main_OsubsetI__1(X5,X6,X7),X6,X7)
| c_lessequals(X5,X6,tc_set(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f25,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,sF5) ),
inference(forward_demodulation,[],[f18,f12]) ).
fof(f18,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f4,axiom,
! [X6,X7,X5] :
( c_in(c_Main_OsubsetI__1(X5,X6,X7),X5,X7)
| c_lessequals(X5,X6,tc_set(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f87,plain,
( c_lessequals(c_Message_Oanalz(sF1),sF4,sF5)
| ~ c_lessequals(c_Message_Oanalz(sF0),sF0,sF5) ),
inference(subsumption_resolution,[],[f81,f14]) ).
fof(f14,plain,
! [X0] : c_lessequals(X0,X0,sF5),
inference(superposition,[],[f6,f12]) ).
fof(f6,axiom,
! [X7,X5] : c_lessequals(X5,X5,tc_set(X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f81,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),sF5)
| ~ c_lessequals(c_Message_Oanalz(sF0),sF0,sF5)
| c_lessequals(c_Message_Oanalz(sF1),sF4,sF5) ),
inference(superposition,[],[f46,f8]) ).
fof(f46,plain,
! [X2,X3] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),sF4,sF5)
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),sF5)
| ~ c_lessequals(c_Message_Oanalz(X2),sF0,sF5) ),
inference(forward_demodulation,[],[f45,f12]) ).
fof(f45,plain,
! [X2,X3] :
( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),sF0,sF5)
| c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),sF4,sF5) ),
inference(forward_demodulation,[],[f44,f11]) ).
fof(f44,plain,
! [X2,X3] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),c_Message_Oanalz(sF3),sF5)
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),sF0,sF5) ),
inference(forward_demodulation,[],[f43,f12]) ).
fof(f43,plain,
! [X2,X3] :
( ~ c_lessequals(c_Message_Oanalz(X2),sF0,sF5)
| c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),c_Message_Oanalz(sF3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f42,f7]) ).
fof(f42,plain,
! [X2,X3] :
( ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(v_G),sF5)
| c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),c_Message_Oanalz(sF3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f31,f12]) ).
fof(f31,plain,
! [X2,X3] :
( ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),c_Message_Oanalz(sF3),tc_set(tc_Message_Omsg)) ),
inference(superposition,[],[f3,f10]) ).
fof(f3,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:43:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (24345)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (24345)First to succeed.
% 0.19/0.50 % (24345)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (24345)------------------------------
% 0.19/0.50 % (24345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24345)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (24345)Memory used [KB]: 5373
% 0.19/0.50 % (24345)Time elapsed: 0.088 s
% 0.19/0.50 % (24345)Instructions burned: 3 (million)
% 0.19/0.50 % (24345)------------------------------
% 0.19/0.50 % (24345)------------------------------
% 0.19/0.50 % (24331)Success in time 0.149 s
%------------------------------------------------------------------------------