TSTP Solution File: GRP581-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 06:09:30 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 71 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 32 ~; 29 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f18,f22,f26,f35,f46,f51,f64]) ).
fof(f64,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f33,f20,f15]) ).
fof(f15,plain,
( spl0_2
<=> identity = double_divide(identity,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,plain,
( spl0_3
<=> ! [X0] : identity = double_divide(X0,double_divide(X0,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f33,plain,
( spl0_5
<=> ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f40,plain,
( identity = double_divide(identity,identity)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f39,f21]) ).
fof(f21,plain,
( ! [X0] : identity = double_divide(X0,double_divide(X0,identity))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f39,plain,
( double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f36,f21]) ).
fof(f36,plain,
( double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f34,f21]) ).
fof(f34,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f51,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f47,f44,f33,f20,f49]) ).
fof(f49,plain,
( spl0_7
<=> ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))),identity) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f44,plain,
( spl0_6
<=> ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),double_divide(identity,identity)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f47,plain,
( ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))),identity) = X1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f45,f40]) ).
fof(f45,plain,
( ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),double_divide(identity,identity)) = X1
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f24,f20,f44]) ).
fof(f24,plain,
( spl0_4
<=> ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f27,plain,
( ! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),double_divide(identity,identity)) = X1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f21]) ).
fof(f25,plain,
( ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f35,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30,f24,f20,f33]) ).
fof(f30,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f21]) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f7,f20]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f18,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f9,f15]) ).
fof(f9,plain,
( spl0_1
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f13,plain,
( identity != double_divide(identity,identity)
| spl0_1 ),
inference(forward_demodulation,[],[f11,f7]) ).
fof(f11,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f9]) ).
fof(f6,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f5,f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP581-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:37:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (14163)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14170)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (14166)WARNING: value z3 for option sas not known
% 0.14/0.37 % (14164)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (14165)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (14167)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (14168)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (14169)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (14166)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (14168)First to succeed.
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (14168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14163"
% 0.14/0.37 % (14168)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (14168)------------------------------
% 0.14/0.37 % (14168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (14168)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (14168)Memory used [KB]: 831
% 0.14/0.37 % (14168)Time elapsed: 0.005 s
% 0.14/0.37 % (14168)Instructions burned: 5 (million)
% 0.14/0.37 % (14163)Success in time 0.003 s
%------------------------------------------------------------------------------