TSTP Solution File: CAT004-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT004-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n008.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 15:50:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 101 ( 53 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 50 ~; 49 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f34,f38,f43,f60,f73,f135,f157,f173,f178]) ).
fof(f178,plain,
( spl0_1
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl0_1
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f176,f29]) ).
fof(f29,plain,
( h != g
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_1
<=> h = g ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f176,plain,
( h = g
| ~ spl0_18 ),
inference(equality_resolution,[],[f172]) ).
fof(f172,plain,
( ! [X0] :
( compose(X0,a) != compose(h,a)
| g = X0 )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_18
<=> ! [X0] :
( g = X0
| compose(X0,a) != compose(h,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f173,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f162,f154,f32,f171]) ).
fof(f32,plain,
( spl0_2
<=> ! [X2,X0] :
( compose(X0,a) != compose(X2,a)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f154,plain,
( spl0_16
<=> compose(h,a) = compose(g,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f162,plain,
( ! [X0] :
( g = X0
| compose(X0,a) != compose(h,a) )
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f33,f156]) ).
fof(f156,plain,
( compose(h,a) = compose(g,a)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f33,plain,
( ! [X2,X0] :
( compose(X0,a) != compose(X2,a)
| X0 = X2 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f157,plain,
( spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f143,f133,f154]) ).
fof(f133,plain,
( spl0_13
<=> ! [X0,X1] :
( compose(X0,X1) = compose(g,a)
| compose(h,compose(a,b)) != compose(X0,compose(X1,b)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f143,plain,
( compose(h,a) = compose(g,a)
| ~ spl0_13 ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
( ! [X0,X1] :
( compose(h,compose(a,b)) != compose(X0,compose(X1,b))
| compose(X0,X1) = compose(g,a) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f82,f71,f133]) ).
fof(f71,plain,
( spl0_7
<=> ! [X4] :
( compose(h,compose(a,b)) != compose(X4,b)
| compose(g,a) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f82,plain,
( ! [X0,X1] :
( compose(X0,X1) = compose(g,a)
| compose(h,compose(a,b)) != compose(X0,compose(X1,b)) )
| ~ spl0_7 ),
inference(superposition,[],[f72,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f72,plain,
( ! [X4] :
( compose(h,compose(a,b)) != compose(X4,b)
| compose(g,a) = X4 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f68,f58,f40,f71]) ).
fof(f40,plain,
( spl0_4
<=> compose(h,compose(a,b)) = compose(g,compose(a,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f58,plain,
( spl0_6
<=> ! [X2,X0,X1] :
( compose(X2,b) != compose(X0,compose(X1,b))
| compose(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f68,plain,
( ! [X4] :
( compose(h,compose(a,b)) != compose(X4,b)
| compose(g,a) = X4 )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f59,f42]) ).
fof(f42,plain,
( compose(h,compose(a,b)) = compose(g,compose(a,b))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f59,plain,
( ! [X2,X0,X1] :
( compose(X2,b) != compose(X0,compose(X1,b))
| compose(X0,X1) = X2 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f48,f36,f58]) ).
fof(f36,plain,
( spl0_3
<=> ! [X2,X0] :
( compose(X0,b) != compose(X2,b)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f48,plain,
( ! [X2,X0,X1] :
( compose(X2,b) != compose(X0,compose(X1,b))
| compose(X0,X1) = X2 )
| ~ spl0_3 ),
inference(superposition,[],[f37,f9]) ).
fof(f37,plain,
( ! [X2,X0] :
( compose(X0,b) != compose(X2,b)
| X0 = X2 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f43,plain,
spl0_4,
inference(avatar_split_clause,[],[f22,f40]) ).
fof(f22,axiom,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).
fof(f38,plain,
spl0_3,
inference(avatar_split_clause,[],[f25,f36]) ).
fof(f25,plain,
! [X2,X0] :
( compose(X0,b) != compose(X2,b)
| X0 = X2 ),
inference(equality_resolution,[],[f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( compose(X0,b) != X1
| compose(X2,b) != X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f34,plain,
spl0_2,
inference(avatar_split_clause,[],[f24,f32]) ).
fof(f24,plain,
! [X2,X0] :
( compose(X0,a) != compose(X2,a)
| X0 = X2 ),
inference(equality_resolution,[],[f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,a) != X1
| compose(X0,a) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f30,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f27]) ).
fof(f23,axiom,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CAT004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 16:19:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (10445)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.49 % (10467)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (10456)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49 % (10472)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.49 % (10459)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 % (10444)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49 % (10448)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (10469)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50 % (10463)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (10456)Instruction limit reached!
% 0.19/0.50 % (10456)------------------------------
% 0.19/0.50 % (10456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (10456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10456)Termination reason: Unknown
% 0.19/0.50 % (10456)Termination phase: Finite model building constraint generation
% 0.19/0.50
% 0.19/0.50 % (10456)Memory used [KB]: 6012
% 0.19/0.50 % (10456)Time elapsed: 0.063 s
% 0.19/0.50 % (10456)Instructions burned: 6 (million)
% 0.19/0.50 % (10456)------------------------------
% 0.19/0.50 % (10456)------------------------------
% 0.19/0.50 % (10469)First to succeed.
% 0.19/0.50 % (10453)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (10448)Also succeeded, but the first one will report.
% 0.19/0.50 % (10451)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (10452)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50 % (10469)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
% 0.19/0.51 % (10469)------------------------------
% 0.19/0.51 % (10469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (10469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (10469)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (10469)Memory used [KB]: 6012
% 0.19/0.51 % (10469)Time elapsed: 0.125 s
% 0.19/0.51 % (10469)Instructions burned: 6 (million)
% 0.19/0.51 % (10469)------------------------------
% 0.19/0.51 % (10469)------------------------------
% 0.19/0.51 % (10435)Success in time 0.165 s
%------------------------------------------------------------------------------