TSTP Solution File: GRP671-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP671-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 12:08:33 EDT 2024
% Result : Unsatisfiable 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 45
% Syntax : Number of formulae : 126 ( 21 unt; 0 def)
% Number of atoms : 290 ( 88 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 294 ( 130 ~; 129 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 36 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f633,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f19,f23,f27,f31,f35,f39,f47,f57,f61,f81,f142,f149,f153,f162,f166,f170,f174,f221,f277,f281,f293,f297,f301,f305,f317,f321,f325,f329,f507,f548,f552,f556,f562,f567,f603]) ).
fof(f603,plain,
( spl0_1
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| spl0_1
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f590]) ).
fof(f590,plain,
( mult(a,mult(b,a)) != mult(a,mult(b,a))
| spl0_1
| ~ spl0_35 ),
inference(superposition,[],[f14,f566]) ).
fof(f566,plain,
( ! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl0_35
<=> ! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f14,plain,
( mult(mult(a,b),a) != mult(a,mult(b,a))
| spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_1
<=> mult(mult(a,b),a) = mult(a,mult(b,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f567,plain,
( spl0_35
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f106,f79,f21,f17,f565]) ).
fof(f17,plain,
( spl0_2
<=> ! [X0] : mult(X0,unit) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f21,plain,
( spl0_3
<=> ! [X0] : mult(unit,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f79,plain,
( spl0_11
<=> ! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f106,plain,
( ! [X0,X1] : mult(mult(X1,X0),X1) = mult(X1,mult(X0,X1))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f105,f18]) ).
fof(f18,plain,
( ! [X0] : mult(X0,unit) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f105,plain,
( ! [X0,X1] : mult(mult(X1,X0),X1) = mult(mult(X1,unit),mult(X0,mult(X1,unit)))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f87,f18]) ).
fof(f87,plain,
( ! [X0,X1] : mult(mult(X1,unit),mult(X0,mult(X1,unit))) = mult(mult(mult(X1,X0),X1),unit)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f80,f22]) ).
fof(f22,plain,
( ! [X0] : mult(unit,X0) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f80,plain,
( ! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f562,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f75,f59,f55,f560]) ).
fof(f560,plain,
( spl0_34
<=> ! [X0,X1] : i(X1) = mult(i(mult(X0,X1)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f59,plain,
( spl0_10
<=> ! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f75,plain,
( ! [X0,X1] : i(X1) = mult(i(mult(X0,X1)),X0)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f56,f60]) ).
fof(f60,plain,
( ! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f56,plain,
( ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f556,plain,
( spl0_33
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f74,f59,f55,f554]) ).
fof(f554,plain,
( spl0_33
<=> ! [X0,X1] : i(X0) = mult(X1,i(mult(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f74,plain,
( ! [X0,X1] : i(X0) = mult(X1,i(mult(X0,X1)))
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f60,f56]) ).
fof(f552,plain,
( spl0_32
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f71,f59,f550]) ).
fof(f550,plain,
( spl0_32
<=> ! [X0,X1] : mult(X0,X1) = mult(X0,i(i(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f71,plain,
( ! [X0,X1] : mult(X0,X1) = mult(X0,i(i(X1)))
| ~ spl0_10 ),
inference(superposition,[],[f60,f60]) ).
fof(f548,plain,
( spl0_31
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f66,f55,f546]) ).
fof(f546,plain,
( spl0_31
<=> ! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f66,plain,
( ! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),X1)
| ~ spl0_9 ),
inference(superposition,[],[f56,f56]) ).
fof(f507,plain,
( spl0_30
| ~ spl0_2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f377,f295,f160,f37,f17,f505]) ).
fof(f505,plain,
( spl0_30
<=> ! [X0] : i(i(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f37,plain,
( spl0_7
<=> ! [X0,X1] : rd(mult(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f160,plain,
( spl0_15
<=> ! [X0] : unit = mult(i(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f295,plain,
( spl0_23
<=> ! [X0,X1] : mult(i(rd(X0,X1)),X0) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f377,plain,
( ! [X0] : i(i(X0)) = X0
| ~ spl0_2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f366,f179]) ).
fof(f179,plain,
( ! [X0] : i(X0) = rd(unit,X0)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f38,f161]) ).
fof(f161,plain,
( ! [X0] : unit = mult(i(X0),X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f38,plain,
( ! [X0,X1] : rd(mult(X0,X1),X1) = X0
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f366,plain,
( ! [X0] : i(rd(unit,X0)) = X0
| ~ spl0_2
| ~ spl0_23 ),
inference(superposition,[],[f296,f18]) ).
fof(f296,plain,
( ! [X0,X1] : mult(i(rd(X0,X1)),X0) = X1
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f329,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f77,f59,f29,f327]) ).
fof(f327,plain,
( spl0_29
<=> ! [X0,X1] : i(X1) = ld(mult(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f29,plain,
( spl0_5
<=> ! [X0,X1] : ld(X0,mult(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f77,plain,
( ! [X0,X1] : i(X1) = ld(mult(X0,X1),X0)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f30,f60]) ).
fof(f30,plain,
( ! [X0,X1] : ld(X0,mult(X0,X1)) = X1
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f325,plain,
( spl0_28
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f76,f59,f37,f323]) ).
fof(f323,plain,
( spl0_28
<=> ! [X0,X1] : mult(X0,X1) = rd(X0,i(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f76,plain,
( ! [X0,X1] : mult(X0,X1) = rd(X0,i(X1))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f38,f60]) ).
fof(f321,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f72,f59,f33,f319]) ).
fof(f319,plain,
( spl0_27
<=> ! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f33,plain,
( spl0_6
<=> ! [X0,X1] : mult(rd(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f72,plain,
( ! [X0,X1] : rd(X0,X1) = mult(X0,i(X1))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f60,f34]) ).
fof(f34,plain,
( ! [X0,X1] : mult(rd(X0,X1),X1) = X0
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f317,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f59,f25,f315]) ).
fof(f315,plain,
( spl0_26
<=> ! [X0,X1] : mult(X1,i(ld(X0,X1))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f25,plain,
( spl0_4
<=> ! [X0,X1] : mult(X0,ld(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f70,plain,
( ! [X0,X1] : mult(X1,i(ld(X0,X1))) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f60,f26]) ).
fof(f26,plain,
( ! [X0,X1] : mult(X0,ld(X0,X1)) = X1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f305,plain,
( spl0_25
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f68,f55,f29,f303]) ).
fof(f303,plain,
( spl0_25
<=> ! [X0,X1] : mult(X0,X1) = ld(i(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f68,plain,
( ! [X0,X1] : mult(X0,X1) = ld(i(X0),X1)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f30,f56]) ).
fof(f301,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f67,f55,f37,f299]) ).
fof(f299,plain,
( spl0_24
<=> ! [X0,X1] : i(X0) = rd(X1,mult(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f67,plain,
( ! [X0,X1] : i(X0) = rd(X1,mult(X0,X1))
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f38,f56]) ).
fof(f297,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f64,f55,f33,f295]) ).
fof(f64,plain,
( ! [X0,X1] : mult(i(rd(X0,X1)),X0) = X1
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f56,f34]) ).
fof(f293,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f63,f55,f25,f291]) ).
fof(f291,plain,
( spl0_22
<=> ! [X0,X1] : ld(X0,X1) = mult(i(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f63,plain,
( ! [X0,X1] : ld(X0,X1) = mult(i(X0),X1)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f56,f26]) ).
fof(f281,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f52,f37,f25,f279]) ).
fof(f279,plain,
( spl0_21
<=> ! [X0,X1] : rd(X1,ld(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f52,plain,
( ! [X0,X1] : rd(X1,ld(X0,X1)) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f38,f26]) ).
fof(f277,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f50,f33,f29,f275]) ).
fof(f275,plain,
( spl0_20
<=> ! [X0,X1] : ld(rd(X0,X1),X0) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f50,plain,
( ! [X0,X1] : ld(rd(X0,X1),X0) = X1
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f30,f34]) ).
fof(f221,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f175,f160,f17,f218]) ).
fof(f218,plain,
( spl0_19
<=> unit = i(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f175,plain,
( unit = i(unit)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f161,f18]) ).
fof(f174,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f73,f59,f21,f172]) ).
fof(f172,plain,
( spl0_18
<=> ! [X0] : unit = mult(X0,i(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f73,plain,
( ! [X0] : unit = mult(X0,i(X0))
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f60,f22]) ).
fof(f170,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f69,f59,f17,f168]) ).
fof(f168,plain,
( spl0_17
<=> ! [X0] : mult(X0,i(unit)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f69,plain,
( ! [X0] : mult(X0,i(unit)) = X0
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f60,f18]) ).
fof(f166,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f65,f55,f21,f164]) ).
fof(f164,plain,
( spl0_16
<=> ! [X0] : mult(i(unit),X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f65,plain,
( ! [X0] : mult(i(unit),X0) = X0
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f56,f22]) ).
fof(f162,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f62,f55,f17,f160]) ).
fof(f62,plain,
( ! [X0] : unit = mult(i(X0),X0)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f56,f18]) ).
fof(f153,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f53,f37,f21,f151]) ).
fof(f151,plain,
( spl0_14
<=> ! [X0] : unit = rd(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f53,plain,
( ! [X0] : unit = rd(X0,X0)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f38,f22]) ).
fof(f149,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f33,f17,f147]) ).
fof(f147,plain,
( spl0_13
<=> ! [X0] : rd(X0,unit) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f48,plain,
( ! [X0] : rd(X0,unit) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f34,f18]) ).
fof(f142,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f42,f29,f17,f140]) ).
fof(f140,plain,
( spl0_12
<=> ! [X0] : unit = ld(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f42,plain,
( ! [X0] : unit = ld(X0,X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f30,f18]) ).
fof(f81,plain,
spl0_11,
inference(avatar_split_clause,[],[f9,f79]) ).
fof(f9,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f61,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f59]) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f7,f55]) ).
fof(f7,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f47,plain,
( spl0_8
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f40,f25,f21,f45]) ).
fof(f45,plain,
( spl0_8
<=> ! [X0] : ld(unit,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f40,plain,
( ! [X0] : ld(unit,X0) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f26,f22]) ).
fof(f39,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f37]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f35,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f33]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f31,plain,
spl0_5,
inference(avatar_split_clause,[],[f2,f29]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f27,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f25]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f23,plain,
spl0_3,
inference(avatar_split_clause,[],[f6,f21]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f19,plain,
spl0_2,
inference(avatar_split_clause,[],[f5,f17]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f15,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f12]) ).
fof(f10,axiom,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP671-1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 04:23:57 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (4445)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (4448)WARNING: value z3 for option sas not known
% 0.12/0.36 % (4448)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)
% 0.12/0.36 % (4447)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (4449)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (4450)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)
% 0.12/0.36 % (4452)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)
% 0.12/0.36 % (4451)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (4446)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [3]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 % (4450)First to succeed.
% 0.18/0.37 TRYING [1]
% 0.18/0.37 % (4448)Also succeeded, but the first one will report.
% 0.18/0.37 % (4450)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (4450)------------------------------
% 0.18/0.37 % (4450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.37 % (4450)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (4450)Memory used [KB]: 1011
% 0.18/0.37 % (4450)Time elapsed: 0.015 s
% 0.18/0.37 % (4450)Instructions burned: 26 (million)
% 0.18/0.37 % (4450)------------------------------
% 0.18/0.37 % (4450)------------------------------
% 0.18/0.37 % (4445)Success in time 0.03 s
%------------------------------------------------------------------------------