TSTP Solution File: GRP001-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP001-2 : 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 : n029.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 16:13:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 116 ( 38 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 54 ~; 53 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,plain,
$false,
inference(avatar_sat_refutation,[],[f13,f17,f22,f26,f30,f54,f76,f114,f119,f133,f196,f231]) ).
fof(f231,plain,
( spl0_1
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl0_1
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( c != c
| spl0_1
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f12,f206]) ).
fof(f206,plain,
( c = multiply(b,a)
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f195,f132]) ).
fof(f132,plain,
( a = multiply(c,b)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl0_15
<=> a = multiply(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f195,plain,
( ! [X2,X1] : multiply(X2,multiply(X1,X2)) = X1
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl0_17
<=> ! [X2,X1] : multiply(X2,multiply(X1,X2)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f12,plain,
( c != multiply(b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl0_1
<=> c = multiply(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f196,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f190,f116,f74,f28,f194]) ).
fof(f28,plain,
( spl0_5
<=> ! [X0] : multiply(X0,identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f74,plain,
( spl0_10
<=> ! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f116,plain,
( spl0_14
<=> ! [X4,X3] : identity = multiply(X3,multiply(X4,multiply(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f190,plain,
( ! [X2,X1] : multiply(X2,multiply(X1,X2)) = X1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f163,f29]) ).
fof(f29,plain,
( ! [X0] : multiply(X0,identity) = X0
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f163,plain,
( ! [X2,X1] : multiply(X2,multiply(X1,X2)) = multiply(X1,identity)
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f75,f117]) ).
fof(f117,plain,
( ! [X3,X4] : identity = multiply(X3,multiply(X4,multiply(X3,X4)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f75,plain,
( ! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f133,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f127,f112,f28,f15,f130]) ).
fof(f15,plain,
( spl0_2
<=> ! [X0] : identity = multiply(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f112,plain,
( spl0_13
<=> ! [X14] : multiply(a,multiply(b,X14)) = multiply(c,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f127,plain,
( a = multiply(c,b)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f120,f29]) ).
fof(f120,plain,
( multiply(a,identity) = multiply(c,b)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f113,f16]) ).
fof(f16,plain,
( ! [X0] : identity = multiply(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f113,plain,
( ! [X14] : multiply(a,multiply(b,X14)) = multiply(c,X14)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f119,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f65,f52,f15,f116]) ).
fof(f52,plain,
( spl0_9
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f65,plain,
( ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,X1)))
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f16,f53]) ).
fof(f53,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f114,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f61,f52,f19,f112]) ).
fof(f19,plain,
( spl0_3
<=> multiply(a,b) = c ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f61,plain,
( ! [X14] : multiply(a,multiply(b,X14)) = multiply(c,X14)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f53,f21]) ).
fof(f21,plain,
( multiply(a,b) = c
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f76,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f71,f52,f24,f15,f74]) ).
fof(f24,plain,
( spl0_4
<=> ! [X0] : multiply(identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f71,plain,
( ! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f55,f25]) ).
fof(f25,plain,
( ! [X0] : multiply(identity,X0) = X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f55,plain,
( ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,X1))
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f53,f16]) ).
fof(f54,plain,
spl0_9,
inference(avatar_split_clause,[],[f3,f52]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f30,plain,
spl0_5,
inference(avatar_split_clause,[],[f4,f28]) ).
fof(f4,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f7,f19]) ).
fof(f7,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f17,plain,
spl0_2,
inference(avatar_split_clause,[],[f6,f15]) ).
fof(f6,axiom,
! [X0] : identity = multiply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
fof(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f10]) ).
fof(f8,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:15:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18188)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.19/0.49 % (18196)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.50 % (18188)First to succeed.
% 0.19/0.51 % (18186)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (18188)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (18188)------------------------------
% 0.19/0.51 % (18188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18188)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (18188)Memory used [KB]: 5628
% 0.19/0.51 % (18188)Time elapsed: 0.093 s
% 0.19/0.51 % (18188)Instructions burned: 7 (million)
% 0.19/0.51 % (18188)------------------------------
% 0.19/0.51 % (18188)------------------------------
% 0.19/0.51 % (18175)Success in time 0.159 s
%------------------------------------------------------------------------------