TSTP Solution File: GRP524-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n005.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 16:16:27 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1072,plain,
$false,
inference(trivial_inequality_removal,[],[f1071]) ).
fof(f1071,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f4,f1031]) ).
fof(f1031,plain,
! [X6,X7] : multiply(X7,X6) = multiply(X6,X7),
inference(superposition,[],[f126,f1005]) ).
fof(f1005,plain,
! [X8,X9] : divide(multiply(X9,X8),X8) = X9,
inference(superposition,[],[f415,f150]) ).
fof(f150,plain,
! [X19,X20] : multiply(inverse(X20),multiply(X19,X20)) = X19,
inference(superposition,[],[f126,f35]) ).
fof(f35,plain,
! [X2,X1] : divide(X2,inverse(X1)) = multiply(X2,X1),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f415,plain,
! [X11,X12] : divide(X11,X12) = multiply(inverse(X12),X11),
inference(superposition,[],[f174,f370]) ).
fof(f370,plain,
! [X2,X3] : divide(X3,divide(X3,X2)) = X2,
inference(superposition,[],[f1,f344]) ).
fof(f344,plain,
! [X2,X3] : divide(X3,divide(X2,X2)) = X3,
inference(superposition,[],[f329,f126]) ).
fof(f329,plain,
! [X2,X3] : multiply(divide(X2,X2),X3) = X3,
inference(backward_demodulation,[],[f52,f321]) ).
fof(f321,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(superposition,[],[f174,f53]) ).
fof(f53,plain,
! [X4,X5] : inverse(inverse(X5)) = multiply(inverse(divide(X4,X4)),X5),
inference(superposition,[],[f35,f5]) ).
fof(f5,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f52,plain,
! [X2,X3] : multiply(divide(X2,X2),X3) = inverse(inverse(X3)),
inference(superposition,[],[f35,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f174,plain,
! [X2,X3] : multiply(inverse(divide(X3,X2)),X3) = X2,
inference(superposition,[],[f126,f123]) ).
fof(f123,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X2,divide(X0,X1)),X2)) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f126,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f18,f2]) ).
fof(f4,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % 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 : n005.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 22:30:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (10133)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.49 % (10133)First to succeed.
% 0.20/0.49 % (10133)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (10133)------------------------------
% 0.20/0.49 % (10133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (10133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (10133)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (10133)Memory used [KB]: 6140
% 0.20/0.49 % (10133)Time elapsed: 0.071 s
% 0.20/0.49 % (10133)Instructions burned: 43 (million)
% 0.20/0.49 % (10133)------------------------------
% 0.20/0.49 % (10133)------------------------------
% 0.20/0.49 % (10111)Success in time 0.133 s
%------------------------------------------------------------------------------