TSTP Solution File: GRP010-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP010-1 : 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 : n026.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 16:13:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(resolution,[],[f93,f10]) ).
fof(f10,axiom,
~ product(b,a,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_multiply_a_is_identity) ).
fof(f93,plain,
product(b,a,identity),
inference(superposition,[],[f4,f83]) ).
fof(f83,plain,
a = inverse(b),
inference(resolution,[],[f80,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| X2 = X3
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f80,plain,
product(a,identity,inverse(b)),
inference(resolution,[],[f78,f4]) ).
fof(f78,plain,
! [X10,X11] :
( ~ product(b,X10,X11)
| product(a,X11,X10) ),
inference(resolution,[],[f57,f9]) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_identity) ).
fof(f57,plain,
! [X16,X14,X15,X13] :
( ~ product(X13,X14,identity)
| ~ product(X14,X15,X16)
| product(X13,X16,X15) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 : n026.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 22:21:05 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.48 % (17421)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (17405)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49 % (17431)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.49 % (17412)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50 % (17421)Instruction limit reached!
% 0.19/0.50 % (17421)------------------------------
% 0.19/0.50 % (17421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17405)First to succeed.
% 0.19/0.50 % (17400)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (17412)Also succeeded, but the first one will report.
% 0.19/0.50 % (17431)Refutation not found, incomplete strategy% (17431)------------------------------
% 0.19/0.50 % (17431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17431)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (17431)Memory used [KB]: 1279
% 0.19/0.50 % (17431)Time elapsed: 0.103 s
% 0.19/0.50 % (17431)Instructions burned: 1 (million)
% 0.19/0.50 % (17431)------------------------------
% 0.19/0.50 % (17431)------------------------------
% 0.19/0.50 % (17405)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.50 % (17405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17405)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (17405)Memory used [KB]: 5884
% 0.19/0.50 % (17405)Time elapsed: 0.098 s
% 0.19/0.50 % (17405)Instructions burned: 3 (million)
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.50 % (17394)Success in time 0.153 s
%------------------------------------------------------------------------------