TSTP Solution File: GRP020-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP020-1 : 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 : n020.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 11:50:29 EDT 2024
% Result : Unsatisfiable 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(trivial_inequality_removal,[],[f38]) ).
fof(f38,plain,
identity != identity,
inference(superposition,[],[f9,f29]) ).
fof(f29,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f12,plain,
! [X0,X1] :
( ~ product(inverse(X1),X1,X0)
| identity = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f9,axiom,
identity != multiply(inverse(a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 04:26:02 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (30172)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (30175)WARNING: value z3 for option sas not known
% 0.16/0.38 % (30175)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)
% 0.16/0.38 % (30175)First to succeed.
% 0.16/0.38 % (30175)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (30175)------------------------------
% 0.16/0.38 % (30175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.38 % (30175)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (30175)Memory used [KB]: 777
% 0.16/0.38 % (30175)Time elapsed: 0.005 s
% 0.16/0.38 % (30175)Instructions burned: 3 (million)
% 0.16/0.38 % (30175)------------------------------
% 0.16/0.38 % (30175)------------------------------
% 0.16/0.38 % (30172)Success in time 0.015 s
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