TSTP Solution File: GRP038-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 11:50:35 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 30
% Syntax : Number of formulae : 50 ( 26 unt; 0 def)
% Number of atoms : 102 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 37 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f25,f30,f35,f39,f43,f48,f52,f56,f60,f64,f68,f72,f88,f92,f105]) ).
fof(f105,plain,
( ~ spl0_3
| spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f83,f70,f45,f22,f17,f27]) ).
fof(f27,plain,
( spl0_3
<=> subgroup_member(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f17,plain,
( spl0_1
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f22,plain,
( spl0_2
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f45,plain,
( spl0_7
<=> product(a,inverse(b),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f70,plain,
( spl0_13
<=> ! [X6,X7,X8] :
( ~ subgroup_member(X7)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ product(X6,inverse(X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f83,plain,
( ~ subgroup_member(a)
| subgroup_member(c)
| ~ subgroup_member(b)
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f71,f47]) ).
fof(f47,plain,
( product(a,inverse(b),c)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f71,plain,
( ! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ subgroup_member(X7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f92,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f90]) ).
fof(f90,plain,
( spl0_15
<=> ! [X5,X4,X2,X0,X3,X1] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f88,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f86]) ).
fof(f86,plain,
( spl0_14
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f72,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f70]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ subgroup_member(X7)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ product(X6,inverse(X7),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f68,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f66]) ).
fof(f66,plain,
( spl0_12
<=> ! [X0,X3,X2,X1] :
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f64,plain,
spl0_11,
inference(avatar_split_clause,[],[f5,f62]) ).
fof(f62,plain,
( spl0_11
<=> ! [X0,X1] : product(X0,X1,multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f60,plain,
spl0_10,
inference(avatar_split_clause,[],[f10,f58]) ).
fof(f58,plain,
( spl0_10
<=> ! [X6] :
( ~ subgroup_member(X6)
| subgroup_member(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f10,axiom,
! [X6] :
( ~ subgroup_member(X6)
| subgroup_member(inverse(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f56,plain,
spl0_9,
inference(avatar_split_clause,[],[f4,f54]) ).
fof(f54,plain,
( spl0_9
<=> ! [X0] : product(X0,inverse(X0),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f3,f50]) ).
fof(f50,plain,
( spl0_8
<=> ! [X0] : product(inverse(X0),X0,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f14,f45]) ).
fof(f14,axiom,
product(a,inverse(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_inverse_b_is_c) ).
fof(f43,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f41]) ).
fof(f41,plain,
( spl0_6
<=> ! [X0] : product(X0,identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f39,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f37]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0] : product(identity,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f35,plain,
spl0_4,
inference(avatar_split_clause,[],[f11,f32]) ).
fof(f32,plain,
( spl0_4
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f11,axiom,
subgroup_member(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_in_subgroup) ).
fof(f30,plain,
spl0_3,
inference(avatar_split_clause,[],[f13,f27]) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f25,plain,
spl0_2,
inference(avatar_split_clause,[],[f12,f22]) ).
fof(f12,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f20,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f15,f17]) ).
fof(f15,axiom,
~ subgroup_member(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:28:26 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (13562)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (13567)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)
% 0.14/0.36 % (13565)WARNING: value z3 for option sas not known
% 0.14/0.36 % (13567)First to succeed.
% 0.14/0.36 % (13563)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (13564)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (13565)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)
% 0.14/0.36 % (13566)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (13568)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)
% 0.14/0.36 % (13567)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (13567)------------------------------
% 0.14/0.36 % (13567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36 % (13567)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (13567)Memory used [KB]: 821
% 0.14/0.36 % (13567)Time elapsed: 0.005 s
% 0.14/0.36 % (13567)Instructions burned: 5 (million)
% 0.14/0.36 % (13567)------------------------------
% 0.14/0.36 % (13567)------------------------------
% 0.14/0.36 % (13562)Success in time 0.017 s
%------------------------------------------------------------------------------