TSTP Solution File: GRP574-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP574-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Mon May 20 21:31:25 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 11 unt; 0 def)
% Number of atoms : 176 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 202 ( 95 ~; 93 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f16,f20,f28,f36,f45,f50,f55,f79,f93,f98,f123,f129,f135,f147]) ).
fof(f147,plain,
( spl0_1
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f136]) ).
fof(f136,plain,
( a2 != a2
| spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f11,f134]) ).
fof(f134,plain,
( ! [X0] : double_divide(double_divide(X0,identity),identity) = X0
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_14
<=> ! [X0] : double_divide(double_divide(X0,identity),identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f11,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f135,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f131,f127,f96,f52,f34,f26,f18,f133]) ).
fof(f18,plain,
( spl0_3
<=> ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f26,plain,
( spl0_4
<=> ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f34,plain,
( spl0_5
<=> ! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f52,plain,
( spl0_8
<=> identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f96,plain,
( spl0_11
<=> ! [X0] : identity = double_divide(double_divide(X0,identity),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f127,plain,
( spl0_13
<=> ! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),double_divide(identity,identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f131,plain,
( ! [X0] : double_divide(double_divide(X0,identity),identity) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f130,f113]) ).
fof(f113,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(X0,identity),identity),identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f102,f86]) ).
fof(f86,plain,
( identity = double_divide(identity,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f83,f27]) ).
fof(f27,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f83,plain,
( double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f19,f54]) ).
fof(f54,plain,
( identity = double_divide(double_divide(identity,identity),double_divide(identity,identity))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f19,plain,
( ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f102,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f35,f97]) ).
fof(f97,plain,
( ! [X0] : identity = double_divide(double_divide(X0,identity),X0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f35,plain,
( ! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f130,plain,
( ! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),identity) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f128,f86]) ).
fof(f128,plain,
( ! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),double_divide(identity,identity)) = X0
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f129,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f37,f34,f14,f127]) ).
fof(f14,plain,
( spl0_2
<=> ! [X0] : identity = double_divide(X0,double_divide(X0,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f37,plain,
( ! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),double_divide(identity,identity)) = X0
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f35,f15]) ).
fof(f15,plain,
( ! [X0] : identity = double_divide(X0,double_divide(X0,identity))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f123,plain,
( spl0_12
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30,f26,f18,f121]) ).
fof(f121,plain,
( spl0_12
<=> ! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f30,plain,
( ! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f19,f27]) ).
fof(f98,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f94,f91,f52,f26,f18,f96]) ).
fof(f91,plain,
( spl0_10
<=> ! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f94,plain,
( ! [X0] : identity = double_divide(double_divide(X0,identity),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f92,f86]) ).
fof(f92,plain,
( ! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f73,f48,f26,f14,f91]) ).
fof(f48,plain,
( spl0_7
<=> ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f73,plain,
( ! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f65,f15]) ).
fof(f65,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,identity))) = double_divide(double_divide(X0,identity),X0)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f49,f27]) ).
fof(f49,plain,
( ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f79,plain,
( spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f18,f77]) ).
fof(f77,plain,
( spl0_9
<=> ! [X0,X3,X2,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X3,X1),double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),identity))),double_divide(identity,identity)) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f22,plain,
( ! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X3,X1),double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),identity))),double_divide(identity,identity)) = X3
| ~ spl0_3 ),
inference(superposition,[],[f19,f19]) ).
fof(f55,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f26,f14,f52]) ).
fof(f29,plain,
( identity = double_divide(double_divide(identity,identity),double_divide(identity,identity))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f27,f15]) ).
fof(f50,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f46,f43,f26,f18,f48]) ).
fof(f43,plain,
( spl0_6
<=> ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f46,plain,
( ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity)))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f44,f31]) ).
fof(f31,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f19,f27]) ).
fof(f44,plain,
( ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24,f18,f43]) ).
fof(f24,plain,
( ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_3 ),
inference(superposition,[],[f19,f19]) ).
fof(f36,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f18,f14,f34]) ).
fof(f21,plain,
( ! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f28,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f18,f14,f26]) ).
fof(f23,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f20,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f18]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f16,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f14]) ).
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/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f9]) ).
fof(f6,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP574-1 : TPTP v8.2.0. Released v2.6.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n022.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 05:40:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (13754)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (13757)WARNING: value z3 for option sas not known
% 0.15/0.37 % (13758)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (13755)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (13756)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (13757)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)
% 0.15/0.37 % (13760)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)
% 0.15/0.37 % (13759)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)
% 0.15/0.37 % (13761)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (13759)First to succeed.
% 0.15/0.37 TRYING [4]
% 0.15/0.37 % (13759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13754"
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (13759)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (13759)------------------------------
% 0.15/0.37 % (13759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (13759)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (13759)Memory used [KB]: 854
% 0.15/0.37 % (13759)Time elapsed: 0.008 s
% 0.15/0.37 % (13759)Instructions burned: 10 (million)
% 0.15/0.37 % (13754)Success in time 0.006 s
%------------------------------------------------------------------------------