TSTP Solution File: GRP010-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n008.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 16:18:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 28 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(resolution,[],[f114,f10]) ).
fof(f10,axiom,
~ product(b,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_multiply_a_is_identity) ).
fof(f114,plain,
product(b,a,identity),
inference(superposition,[],[f3,f96]) ).
fof(f96,plain,
b = inverse(a),
inference(resolution,[],[f95,f14]) ).
fof(f14,plain,
! [X8,X7] :
( ~ product(identity,X7,X8)
| X7 = X8 ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f6,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(f95,plain,
product(identity,b,inverse(a)),
inference(forward_demodulation,[],[f94,f21]) ).
fof(f21,plain,
! [X1] : multiply(X1,identity) = X1,
inference(resolution,[],[f11,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
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/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f94,plain,
product(identity,b,multiply(inverse(a),identity)),
inference(resolution,[],[f88,f5]) ).
fof(f88,plain,
! [X3] :
( ~ product(inverse(a),identity,X3)
| product(identity,b,X3) ),
inference(resolution,[],[f80,f3]) ).
fof(f80,plain,
! [X28,X26,X27] :
( ~ product(X26,a,X28)
| product(X28,b,X27)
| ~ product(X26,identity,X27) ),
inference(resolution,[],[f8,f9]) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_multiply_b_is_identity) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP010-1 : 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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:10:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (27938)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (27953)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (27945)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (27948)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (27938)First to succeed.
% 0.19/0.51 % (27952)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (27947)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (27938)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (27938)------------------------------
% 0.19/0.52 % (27938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27938)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (27938)Memory used [KB]: 5373
% 0.19/0.52 % (27938)Time elapsed: 0.111 s
% 0.19/0.52 % (27938)Instructions burned: 4 (million)
% 0.19/0.52 % (27938)------------------------------
% 0.19/0.52 % (27938)------------------------------
% 0.19/0.52 % (27934)Success in time 0.17 s
%------------------------------------------------------------------------------