TSTP Solution File: GRP188-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP188-1 : 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_uns --cores 0 -t %d %s
% Computer : n015.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 16:14:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f224,plain,
$false,
inference(unit_resulting_resolution,[],[f18,f183,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f183,plain,
~ sQ0_eqProxy(b,least_upper_bound(b,b)),
inference(unit_resulting_resolution,[],[f38,f82,f37]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( sQ0_eqProxy(least_upper_bound(X0,X2),least_upper_bound(X1,X3))
| ~ sQ0_eqProxy(X2,X3)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f17]) ).
fof(f82,plain,
~ sQ0_eqProxy(least_upper_bound(a,b),least_upper_bound(a,least_upper_bound(b,b))),
inference(unit_resulting_resolution,[],[f21,f47,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f17]) ).
fof(f47,plain,
~ sQ0_eqProxy(least_upper_bound(a,b),least_upper_bound(least_upper_bound(a,b),b)),
inference(unit_resulting_resolution,[],[f20,f26,f40]) ).
fof(f26,plain,
~ sQ0_eqProxy(least_upper_bound(a,b),least_upper_bound(b,least_upper_bound(a,b))),
inference(equality_proxy_replacement,[],[f16,f17]) ).
fof(f16,axiom,
least_upper_bound(a,b) != least_upper_bound(b,least_upper_bound(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p38a) ).
fof(f20,plain,
! [X0,X1] : sQ0_eqProxy(least_upper_bound(X0,X1),least_upper_bound(X1,X0)),
inference(equality_proxy_replacement,[],[f5,f17]) ).
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(f21,plain,
! [X2,X0,X1] : sQ0_eqProxy(least_upper_bound(X0,least_upper_bound(X1,X2)),least_upper_bound(least_upper_bound(X0,X1),X2)),
inference(equality_proxy_replacement,[],[f7,f17]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f38,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f17]) ).
fof(f18,plain,
! [X0] : sQ0_eqProxy(least_upper_bound(X0,X0),X0),
inference(equality_proxy_replacement,[],[f8,f17]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_lub) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP188-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.12/0.34 % Computer : n015.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 22:50:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (22564)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (22559)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49 % (22557)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.50 % (22557)First to succeed.
% 0.19/0.50 % (22560)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (22558)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (22563)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (22581)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (22557)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (22557)------------------------------
% 0.19/0.51 % (22557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (22557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22557)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (22557)Memory used [KB]: 5628
% 0.19/0.51 % (22557)Time elapsed: 0.099 s
% 0.19/0.51 % (22557)Instructions burned: 8 (million)
% 0.19/0.51 % (22557)------------------------------
% 0.19/0.51 % (22557)------------------------------
% 0.19/0.51 % (22555)Success in time 0.162 s
%------------------------------------------------------------------------------