TSTP Solution File: GRP030-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP030-1 : 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_sat --cores 0 -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 : Wed Aug 31 16:19:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(resolution,[],[f78,f7]) ).
fof(f7,axiom,
~ product(a,identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).
fof(f78,plain,
! [X0] : product(X0,identity,X0),
inference(resolution,[],[f56,f6]) ).
fof(f6,axiom,
! [X6] : product(inverse(X6),X6,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ product(inverse(X0),X2,X1)
| product(X0,X1,X2) ),
inference(resolution,[],[f53,f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| product(X3,X2,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f3,f5]) ).
fof(f5,axiom,
! [X6] : product(identity,X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f53,plain,
! [X0] : product(X0,inverse(X0),identity),
inference(superposition,[],[f1,f44]) ).
fof(f44,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f38,f1]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(X1,inverse(X1),X0)
| identity = X0 ),
inference(resolution,[],[f31,f24]) ).
fof(f24,plain,
! [X2,X3,X4] :
( product(inverse(X2),X3,X4)
| ~ product(X2,X4,X3) ),
inference(resolution,[],[f20,f6]) ).
fof(f31,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| identity = X1 ),
inference(resolution,[],[f24,f9]) ).
fof(f9,plain,
! [X2,X3] :
( ~ product(inverse(X2),X2,X3)
| identity = X3 ),
inference(resolution,[],[f2,f6]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.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 22:06:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (30551)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50 % (30559)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50 % (30549)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50 % (30549)First to succeed.
% 0.20/0.51 % (30540)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.51 % (30549)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (30549)------------------------------
% 0.20/0.51 % (30549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30549)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (30549)Memory used [KB]: 5373
% 0.20/0.51 % (30549)Time elapsed: 0.113 s
% 0.20/0.51 % (30549)Instructions burned: 2 (million)
% 0.20/0.51 % (30549)------------------------------
% 0.20/0.51 % (30549)------------------------------
% 0.20/0.51 % (30537)Success in time 0.159 s
%------------------------------------------------------------------------------