TSTP Solution File: GRP542-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP542-1 : 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 : 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 : Tue Apr 30 12:07:30 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 98 ( 34 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 43 ~; 41 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f17,f21,f25,f33,f37,f65,f70,f74,f97,f108]) ).
fof(f108,plain,
( spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f100]) ).
fof(f100,plain,
( a2 != a2
| spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f16,f69]) ).
fof(f69,plain,
( ! [X0] : divide(identity,divide(identity,X0)) = X0
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_8
<=> ! [X0] : divide(identity,divide(identity,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f16,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_2
<=> a2 = divide(identity,divide(identity,a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f97,plain,
( spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f23,f95]) ).
fof(f95,plain,
( spl0_10
<=> ! [X0,X3,X2,X1] : divide(divide(identity,divide(divide(X1,X3),divide(identity,divide(divide(divide(X0,X1),X2),X0)))),X3) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f23,plain,
( spl0_4
<=> ! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f27,plain,
( ! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(X1,X3),divide(identity,divide(divide(divide(X0,X1),X2),X0)))),X3) = X2
| ~ spl0_4 ),
inference(superposition,[],[f24,f24]) ).
fof(f24,plain,
( ! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f74,plain,
( spl0_9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f66,f63,f31,f23,f72]) ).
fof(f72,plain,
( spl0_9
<=> ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f31,plain,
( spl0_5
<=> ! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f63,plain,
( spl0_7
<=> ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f66,plain,
( ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X2),X1)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f64,f42]) ).
fof(f42,plain,
( ! [X0,X1] : divide(divide(identity,X0),X1) = divide(divide(identity,divide(X1,identity)),X0)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f24,f32]) ).
fof(f32,plain,
( ! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f64,plain,
( ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f70,plain,
( spl0_8
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f35,f19,f68]) ).
fof(f19,plain,
( spl0_3
<=> ! [X0] : identity = divide(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f35,plain,
( spl0_6
<=> ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f55,plain,
( ! [X0] : divide(identity,divide(identity,X0)) = X0
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f45,f20]) ).
fof(f20,plain,
( ! [X0] : identity = divide(X0,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f45,plain,
( ! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f36,f20]) ).
fof(f36,plain,
( ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f65,plain,
( spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f23,f63]) ).
fof(f28,plain,
( ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2)
| ~ spl0_4 ),
inference(superposition,[],[f24,f24]) ).
fof(f37,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f23,f19,f35]) ).
fof(f29,plain,
( ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f24,f20]) ).
fof(f33,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f23,f19,f31]) ).
fof(f26,plain,
( ! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f24,f20]) ).
fof(f25,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f23]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f21,plain,
spl0_3,
inference(avatar_split_clause,[],[f4,f19]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f17,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f8,f14]) ).
fof(f8,plain,
( spl0_1
<=> a2 = divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_1 ),
inference(forward_demodulation,[],[f10,f4]) ).
fof(f10,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f8]) ).
fof(f6,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f5,f2,f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP542-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:25:34 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (27459)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27460)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (27464)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)
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (27462)WARNING: value z3 for option sas not known
% 0.15/0.39 % (27466)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)
% 0.15/0.39 % (27463)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (27465)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)
% 0.15/0.39 % (27462)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)
% 0.15/0.39 % (27461)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 % (27464)First to succeed.
% 0.15/0.40 TRYING [3]
% 0.15/0.40 % (27466)Also succeeded, but the first one will report.
% 0.15/0.40 % (27464)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (27464)------------------------------
% 0.15/0.40 % (27464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (27464)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (27464)Memory used [KB]: 846
% 0.15/0.40 % (27464)Time elapsed: 0.007 s
% 0.15/0.40 % (27464)Instructions burned: 7 (million)
% 0.15/0.40 % (27464)------------------------------
% 0.15/0.40 % (27464)------------------------------
% 0.15/0.40 % (27459)Success in time 0.031 s
%------------------------------------------------------------------------------