TSTP Solution File: SWV236+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV236+1 : 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_uns --cores 0 -t %d %s
% Computer : n016.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 18:44:35 EDT 2022
% Result : Theorem 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 5 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 203 ( 97 ~; 81 |; 15 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 91 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,plain,
$false,
inference(avatar_sat_refutation,[],[f326,f394,f438]) ).
fof(f438,plain,
( spl1_2
| spl1_2
| spl1_2
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f437,f313,f128,f128,f128]) ).
fof(f128,plain,
( spl1_2
<=> ! [X12] : ~ p(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f313,plain,
( spl1_20
<=> ! [X29,X28,X30] :
( ~ p(X29)
| ~ p(xor(xor(X29,X30),X28))
| ~ p(X28)
| ~ p(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( ~ p(X2)
| ~ p(X1)
| ~ p(X0) )
| ~ spl1_20 ),
inference(subsumption_resolution,[],[f436,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ p(X1)
| ~ p(X0)
| p(xor(X1,X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| p(xor(X1,X0)) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( p(xor(X1,X0))
| ~ p(X1)
| ~ p(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( p(X1)
& p(X0) )
=> p(xor(X1,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( ( p(X1)
& p(X0) )
=> p(xor(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',combine_with_XOR) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ p(xor(X0,X2))
| ~ p(X0)
| ~ p(X2)
| ~ p(X1) )
| ~ spl1_20 ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f433,plain,
( ! [X2,X0,X1] :
( ~ p(X0)
| ~ p(X1)
| ~ p(X1)
| ~ p(X2)
| ~ p(xor(X0,X2)) )
| ~ spl1_20 ),
inference(resolution,[],[f314,f100]) ).
fof(f314,plain,
( ! [X28,X29,X30] :
( ~ p(xor(xor(X29,X30),X28))
| ~ p(X29)
| ~ p(X28)
| ~ p(X30) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f394,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f129,f92]) ).
fof(f92,plain,
p(exp),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
p(exp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_knowledge_of_intruder_9) ).
fof(f129,plain,
( ! [X12] : ~ p(X12)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f326,plain,
spl1_20,
inference(avatar_split_clause,[],[f325,f313]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ p(X0)
| ~ p(xor(xor(X1,X2),X0))
| ~ p(X2)
| ~ p(X1) ),
inference(subsumption_resolution,[],[f291,f92]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ p(xor(xor(X1,X2),X0))
| ~ p(X2)
| ~ p(X1)
| ~ p(exp)
| ~ p(X0) ),
inference(resolution,[],[f185,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| p(crypt(xor(km,xor(kp,X1)),X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| p(crypt(xor(km,xor(kp,X1)),X0)) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( p(crypt(xor(km,xor(kp,X1)),X0))
| ~ p(X0)
| ~ p(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( p(X0)
& p(X1) )
=> p(crypt(xor(km,xor(kp,X1)),X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X9,X8] :
( ( p(X9)
& p(X8) )
=> p(crypt(xor(km,xor(kp,X8)),X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part_import___part_1) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(km,xor(kp,exp)),X1))
| ~ p(X2)
| ~ p(X0)
| ~ p(xor(xor(X0,X1),X2)) ),
inference(subsumption_resolution,[],[f162,f92]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ p(X0)
| ~ p(crypt(xor(km,xor(kp,exp)),X1))
| ~ p(X2)
| ~ p(xor(xor(X0,X1),X2))
| ~ p(exp) ),
inference(resolution,[],[f144,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ p(crypt(xor(km,xor(kp,X2)),X0))
| ~ p(X2)
| p(crypt(xor(km,xor(X2,kp)),xor(X1,X0)))
| ~ p(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ p(X2)
| ~ p(X1)
| ~ p(crypt(xor(km,xor(kp,X2)),X0))
| p(crypt(xor(km,xor(X2,kp)),xor(X1,X0))) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X2,X1] :
( ~ p(X1)
| ~ p(X2)
| ~ p(crypt(xor(km,xor(kp,X1)),X0))
| p(crypt(xor(km,xor(X1,kp)),xor(X2,X0))) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( p(crypt(xor(km,xor(X1,kp)),xor(X2,X0)))
| ~ p(X2)
| ~ p(crypt(xor(km,xor(kp,X1)),X0))
| ~ p(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( p(X2)
& p(crypt(xor(km,xor(kp,X1)),X0))
& p(X1) )
=> p(crypt(xor(km,xor(X1,kp)),xor(X2,X0))) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X10,X8,X5] :
( ( p(crypt(xor(km,xor(kp,X8)),X10))
& p(X5)
& p(X8) )
=> p(crypt(xor(km,xor(X8,kp)),xor(X5,X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part_import___part_2) ).
fof(f144,plain,
! [X4,X5] :
( ~ p(crypt(xor(km,xor(exp,kp)),X4))
| ~ p(xor(X4,X5))
| ~ p(X5) ),
inference(subsumption_resolution,[],[f113,f92]) ).
fof(f113,plain,
! [X4,X5] :
( ~ p(X5)
| ~ p(xor(X4,X5))
| ~ p(crypt(xor(km,xor(exp,kp)),X4))
| ~ p(exp) ),
inference(resolution,[],[f101,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ p(X1)
| ~ p(crypt(xor(km,xor(X2,kp)),X0))
| ~ p(X2)
| p(crypt(xor(km,X2),xor(X0,X1))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ p(X2)
| ~ p(crypt(xor(km,xor(X2,kp)),X0))
| p(crypt(xor(km,X2),xor(X0,X1)))
| ~ p(X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ p(X1)
| ~ p(crypt(xor(km,xor(X1,kp)),X2))
| p(crypt(xor(km,X1),xor(X2,X0)))
| ~ p(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X0,X2] :
( p(crypt(xor(km,X1),xor(X2,X0)))
| ~ p(crypt(xor(km,xor(X1,kp)),X2))
| ~ p(X0)
| ~ p(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( ( p(crypt(xor(km,xor(X1,kp)),X2))
& p(X0)
& p(X1) )
=> p(crypt(xor(km,X1),xor(X2,X0))) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X8,X10] :
( ( p(X5)
& p(crypt(xor(km,xor(X8,kp)),X10))
& p(X8) )
=> p(crypt(xor(km,X8),xor(X10,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_part_import___part_3) ).
fof(f101,plain,
! [X0] :
( ~ p(crypt(xor(km,exp),X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ p(X0)
| ~ p(crypt(xor(km,exp),X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ? [X0] :
( p(crypt(xor(km,exp),X0))
& p(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ? [X11] :
( p(X11)
& p(crypt(xor(km,exp),X11)) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
? [X11] :
( p(X11)
& p(crypt(xor(km,exp),X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',find_known_exporter) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV236+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 19:30:46 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.14/0.42 % (13460)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.43 % (13468)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.14/0.44 % (13460)Instruction limit reached!
% 0.14/0.44 % (13460)------------------------------
% 0.14/0.44 % (13460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.44 % (13460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.44 % (13460)Termination reason: Unknown
% 0.14/0.44 % (13460)Termination phase: Saturation
% 0.14/0.44
% 0.14/0.44 % (13460)Memory used [KB]: 6012
% 0.14/0.44 % (13460)Time elapsed: 0.006 s
% 0.14/0.44 % (13460)Instructions burned: 4 (million)
% 0.14/0.44 % (13460)------------------------------
% 0.14/0.44 % (13460)------------------------------
% 0.14/0.46 % (13464)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.46 % (13464)Instruction limit reached!
% 0.14/0.46 % (13464)------------------------------
% 0.14/0.46 % (13464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (13464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (13464)Termination reason: Unknown
% 0.14/0.46 % (13464)Termination phase: Property scanning
% 0.14/0.46
% 0.14/0.46 % (13464)Memory used [KB]: 1407
% 0.14/0.46 % (13464)Time elapsed: 0.003 s
% 0.14/0.46 % (13464)Instructions burned: 2 (million)
% 0.14/0.46 % (13464)------------------------------
% 0.14/0.46 % (13464)------------------------------
% 0.14/0.46 % (13456)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.14/0.47 % (13469)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.47 % (13469)Refutation not found, incomplete strategy% (13469)------------------------------
% 0.14/0.47 % (13469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (13469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (13469)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47
% 0.14/0.47 % (13469)Memory used [KB]: 1535
% 0.14/0.47 % (13469)Time elapsed: 0.093 s
% 0.14/0.47 % (13469)Instructions burned: 3 (million)
% 0.14/0.47 % (13469)------------------------------
% 0.14/0.47 % (13469)------------------------------
% 0.14/0.47 % (13471)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.14/0.47 % (13453)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.47 % (13456)First to succeed.
% 0.14/0.48 % (13472)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.48 % (13463)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.48 % (13455)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.14/0.48 % (13472)Refutation not found, incomplete strategy% (13472)------------------------------
% 0.14/0.48 % (13472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (13472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (13472)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48 % (13472)Memory used [KB]: 6012
% 0.14/0.48 % (13472)Time elapsed: 0.106 s
% 0.14/0.48 % (13472)Instructions burned: 3 (million)
% 0.14/0.48 % (13472)------------------------------
% 0.14/0.48 % (13472)------------------------------
% 0.14/0.48 % (13456)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (13456)------------------------------
% 0.14/0.48 % (13456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (13456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (13456)Termination reason: Refutation
% 0.14/0.48
% 0.14/0.48 % (13456)Memory used [KB]: 6140
% 0.14/0.48 % (13456)Time elapsed: 0.102 s
% 0.14/0.48 % (13456)Instructions burned: 8 (million)
% 0.14/0.48 % (13456)------------------------------
% 0.14/0.48 % (13456)------------------------------
% 0.14/0.48 % (13445)Success in time 0.155 s
%------------------------------------------------------------------------------