TSTP Solution File: SWV242-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV242-2 : 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 : n005.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 18:55:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 21 unt; 0 def)
% Number of atoms : 49 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(subsumption_resolution,[],[f91,f67]) ).
fof(f67,plain,
c_lessequals(v_G,sF4,sF1),
inference(resolution,[],[f51,f35]) ).
fof(f35,plain,
c_lessequals(sF0,sF4,sF1),
inference(subsumption_resolution,[],[f34,f20]) ).
fof(f20,plain,
c_lessequals(v_G_H,sF3,sF1),
inference(forward_demodulation,[],[f18,f9]) ).
fof(f9,plain,
tc_set(tc_Message_Omsg) = sF1,
introduced(function_definition,[]) ).
fof(f18,plain,
c_lessequals(v_G_H,sF3,tc_set(tc_Message_Omsg)),
inference(superposition,[],[f5,f13]) ).
fof(f13,plain,
c_union(v_G_H,v_H_H,tc_Message_Omsg) = sF3,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
fof(f34,plain,
( ~ c_lessequals(v_G_H,sF3,sF1)
| c_lessequals(sF0,sF4,sF1) ),
inference(superposition,[],[f26,f14]) ).
fof(f14,plain,
c_Message_Oanalz(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f26,plain,
! [X0] :
( c_lessequals(sF0,c_Message_Oanalz(X0),sF1)
| ~ c_lessequals(v_G_H,X0,sF1) ),
inference(superposition,[],[f17,f8]) ).
fof(f8,plain,
c_Message_Oanalz(v_G_H) = sF0,
introduced(function_definition,[]) ).
fof(f17,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),sF1)
| ~ c_lessequals(X0,X1,sF1) ),
inference(forward_demodulation,[],[f16,f9]) ).
fof(f16,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,sF1) ),
inference(forward_demodulation,[],[f4,f9]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f51,plain,
! [X6] :
( ~ c_lessequals(sF0,X6,sF1)
| c_lessequals(v_G,X6,sF1) ),
inference(resolution,[],[f38,f10]) ).
fof(f10,plain,
c_lessequals(v_G,sF0,sF1),
inference(definition_folding,[],[f1,f9,f8]) ).
fof(f1,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF1)
| ~ c_lessequals(X1,X2,sF1)
| c_lessequals(X0,X2,sF1) ),
inference(superposition,[],[f7,f9]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(X2,X3,tc_set(X4))
| c_lessequals(X2,X5,tc_set(X4))
| ~ c_lessequals(X3,X5,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f91,plain,
~ c_lessequals(v_G,sF4,sF1),
inference(resolution,[],[f82,f15]) ).
fof(f15,plain,
( ~ c_lessequals(v_H,sF4,sF1)
| ~ c_lessequals(v_G,sF4,sF1) ),
inference(definition_folding,[],[f3,f9,f14,f13,f9,f14,f13]) ).
fof(f3,axiom,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f82,plain,
c_lessequals(v_H,sF4,sF1),
inference(resolution,[],[f54,f42]) ).
fof(f42,plain,
c_lessequals(sF2,sF4,sF1),
inference(subsumption_resolution,[],[f41,f23]) ).
fof(f23,plain,
c_lessequals(v_H_H,sF3,sF1),
inference(forward_demodulation,[],[f21,f9]) ).
fof(f21,plain,
c_lessequals(v_H_H,sF3,tc_set(tc_Message_Omsg)),
inference(superposition,[],[f6,f13]) ).
fof(f6,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
fof(f41,plain,
( ~ c_lessequals(v_H_H,sF3,sF1)
| c_lessequals(sF2,sF4,sF1) ),
inference(superposition,[],[f27,f14]) ).
fof(f27,plain,
! [X1] :
( c_lessequals(sF2,c_Message_Oanalz(X1),sF1)
| ~ c_lessequals(v_H_H,X1,sF1) ),
inference(superposition,[],[f17,f11]) ).
fof(f11,plain,
c_Message_Oanalz(v_H_H) = sF2,
introduced(function_definition,[]) ).
fof(f54,plain,
! [X11] :
( ~ c_lessequals(sF2,X11,sF1)
| c_lessequals(v_H,X11,sF1) ),
inference(resolution,[],[f38,f12]) ).
fof(f12,plain,
c_lessequals(v_H,sF2,sF1),
inference(definition_folding,[],[f2,f9,f11]) ).
fof(f2,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:08:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (13502)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (13506)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (13506)First to succeed.
% 0.20/0.50 % (13513)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50 % (13505)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (13506)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (13506)------------------------------
% 0.20/0.50 % (13506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (13506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (13506)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (13506)Memory used [KB]: 1023
% 0.20/0.50 % (13506)Time elapsed: 0.093 s
% 0.20/0.50 % (13506)Instructions burned: 5 (million)
% 0.20/0.50 % (13506)------------------------------
% 0.20/0.50 % (13506)------------------------------
% 0.20/0.50 % (13490)Success in time 0.148 s
%------------------------------------------------------------------------------