TSTP Solution File: SWV258-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV258-2 : 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 : 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 : Wed Aug 31 18:56:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(subsumption_resolution,[],[f219,f11]) ).
fof(f11,plain,
~ c_lessequals(sF1,sF2,sF3),
inference(definition_folding,[],[f2,f10,f9,f8,f7]) ).
fof(f7,plain,
c_insert(v_X,v_H,tc_Message_Omsg) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
c_Message_Oparts(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
c_Message_Oparts(v_H) = sF2,
introduced(function_definition,[]) ).
fof(f10,plain,
tc_set(tc_Message_Omsg) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f219,plain,
c_lessequals(sF1,sF2,sF3),
inference(forward_demodulation,[],[f217,f8]) ).
fof(f217,plain,
c_lessequals(c_Message_Oparts(sF0),sF2,sF3),
inference(resolution,[],[f216,f23]) ).
fof(f23,plain,
! [X1] :
( ~ c_lessequals(X1,sF2,sF3)
| c_lessequals(c_Message_Oparts(X1),sF2,sF3) ),
inference(superposition,[],[f16,f9]) ).
fof(f16,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),sF3)
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),sF3) ),
inference(forward_demodulation,[],[f15,f10]) ).
fof(f15,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),sF3)
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f4,f10]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
fof(f216,plain,
c_lessequals(sF0,sF2,sF3),
inference(forward_demodulation,[],[f215,f7]) ).
fof(f215,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),sF2,sF3),
inference(resolution,[],[f106,f12]) ).
fof(f12,plain,
c_in(v_X,sF2,tc_Message_Omsg),
inference(definition_folding,[],[f1,f9]) ).
fof(f1,axiom,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f106,plain,
! [X8] :
( ~ c_in(X8,sF2,tc_Message_Omsg)
| c_lessequals(c_insert(X8,v_H,tc_Message_Omsg),sF2,sF3) ),
inference(resolution,[],[f25,f31]) ).
fof(f31,plain,
c_lessequals(v_H,sF2,sF3),
inference(superposition,[],[f26,f9]) ).
fof(f26,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),sF3),
inference(resolution,[],[f21,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),sF3)
| c_lessequals(X0,c_Message_Oparts(X1),sF3) ),
inference(forward_demodulation,[],[f13,f10]) ).
fof(f13,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),sF3) ),
inference(backward_demodulation,[],[f3,f10]) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
fof(f21,plain,
! [X0] : c_lessequals(X0,X0,sF3),
inference(superposition,[],[f6,f10]) ).
fof(f6,axiom,
! [X4,X5] : c_lessequals(X5,X5,tc_set(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF3)
| ~ c_in(X2,X1,tc_Message_Omsg)
| c_lessequals(c_insert(X2,X0,tc_Message_Omsg),X1,sF3) ),
inference(superposition,[],[f5,f10]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(X5,X3,tc_set(X4))
| c_lessequals(c_insert(X2,X5,X4),X3,tc_set(X4))
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV258-2 : 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 : n014.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 19:10:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (30566)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (30568)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30590)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (30566)First to succeed.
% 0.20/0.54 % (30566)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (30566)------------------------------
% 0.20/0.54 % (30566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30566)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (30566)Memory used [KB]: 5500
% 0.20/0.54 % (30566)Time elapsed: 0.154 s
% 0.20/0.54 % (30566)Instructions burned: 10 (million)
% 0.20/0.54 % (30566)------------------------------
% 0.20/0.54 % (30566)------------------------------
% 0.20/0.54 % (30561)Success in time 0.19 s
%------------------------------------------------------------------------------