TSTP Solution File: GRP159-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP159-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : 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 : Wed Aug 31 16:20:36 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(trivial_inequality_removal,[],[f100]) ).
fof(f100,plain,
multiply(c,b) != multiply(c,b),
inference(forward_demodulation,[],[f92,f39]) ).
fof(f39,plain,
b = least_upper_bound(a,b),
inference(superposition,[],[f32,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f32,plain,
b = least_upper_bound(b,a),
inference(superposition,[],[f21,f16]) ).
fof(f16,axiom,
a = greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2c_1) ).
fof(f21,plain,
! [X3,X4] : least_upper_bound(X3,greatest_lower_bound(X4,X3)) = X3,
inference(superposition,[],[f10,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f92,plain,
multiply(c,b) != multiply(c,least_upper_bound(a,b)),
inference(superposition,[],[f17,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f17,axiom,
multiply(c,b) != least_upper_bound(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP159-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.13/0.34 % Computer : n020.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 22:19:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (3761)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3765)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (3765)First to succeed.
% 0.19/0.55 % (3777)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 (2999ds/498Mi)
% 0.19/0.55 % (3757)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 (2999ds/37Mi)
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (3766)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (3773)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (3765)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (3765)------------------------------
% 0.19/0.56 % (3765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (3765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (3765)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (3765)Memory used [KB]: 5500
% 0.19/0.56 % (3765)Time elapsed: 0.133 s
% 0.19/0.56 % (3765)Instructions burned: 6 (million)
% 0.19/0.56 % (3765)------------------------------
% 0.19/0.56 % (3765)------------------------------
% 0.19/0.56 % (3754)Success in time 0.209 s
%------------------------------------------------------------------------------