TSTP Solution File: GRP001-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP001-4 : 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 16:18:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f315,plain,
$false,
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f7,f216]) ).
fof(f216,plain,
! [X2,X3] : multiply(X3,X2) = multiply(X2,X3),
inference(superposition,[],[f47,f199]) ).
fof(f199,plain,
! [X2,X1] : multiply(X2,multiply(X1,X2)) = X1,
inference(forward_demodulation,[],[f88,f53]) ).
fof(f53,plain,
! [X4] : multiply(X4,identity) = X4,
inference(superposition,[],[f47,f3]) ).
fof(f3,axiom,
! [X0] : identity = multiply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
fof(f88,plain,
! [X2,X1] : multiply(X2,multiply(X1,X2)) = multiply(X1,identity),
inference(superposition,[],[f47,f40]) ).
fof(f40,plain,
! [X6,X7] : identity = multiply(X6,multiply(X7,multiply(X6,X7))),
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f47,plain,
! [X6,X7] : multiply(X6,multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f34,f2]) ).
fof(f2,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f34,plain,
! [X6,X7] : multiply(identity,X7) = multiply(X6,multiply(X6,X7)),
inference(superposition,[],[f1,f3]) ).
fof(f7,plain,
multiply(a,b) != multiply(b,a),
inference(backward_demodulation,[],[f5,f4]) ).
fof(f4,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f5,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 22:09:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (25023)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.50 % (25015)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.51 % (25005)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (25007)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (25023)First to succeed.
% 0.19/0.52 % (25023)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 % (25023)------------------------------
% 0.19/0.52 % (25023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25023)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (25023)Memory used [KB]: 1023
% 0.19/0.52 % (25023)Time elapsed: 0.071 s
% 0.19/0.52 % (25023)Instructions burned: 12 (million)
% 0.19/0.52 % (25023)------------------------------
% 0.19/0.52 % (25023)------------------------------
% 0.19/0.52 % (25000)Success in time 0.174 s
%------------------------------------------------------------------------------