TSTP Solution File: NUM001-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM001-1 : 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 : n012.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 18:03:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 15 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(resolution,[],[f113,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition) ).
fof(f113,plain,
~ equalish(add(c,add(a,b)),add(add(c,a),b)),
inference(resolution,[],[f56,f3]) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f56,plain,
! [X0] :
( ~ equalish(X0,add(b,add(c,a)))
| ~ equalish(add(c,add(a,b)),X0) ),
inference(resolution,[],[f49,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f49,plain,
~ equalish(add(c,add(a,b)),add(b,add(c,a))),
inference(resolution,[],[f34,f4]) ).
fof(f34,plain,
! [X0] :
( ~ equalish(X0,add(add(b,c),a))
| ~ equalish(add(c,add(a,b)),X0) ),
inference(resolution,[],[f25,f2]) ).
fof(f25,plain,
~ equalish(add(c,add(a,b)),add(add(b,c),a)),
inference(resolution,[],[f23,f3]) ).
fof(f23,plain,
! [X0] :
( ~ equalish(add(add(a,b),c),X0)
| ~ equalish(X0,add(add(b,c),a)) ),
inference(resolution,[],[f17,f2]) ).
fof(f17,plain,
~ equalish(add(add(a,b),c),add(add(b,c),a)),
inference(resolution,[],[f14,f3]) ).
fof(f14,plain,
! [X0] :
( ~ equalish(X0,add(a,add(b,c)))
| ~ equalish(add(add(a,b),c),X0) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
~ equalish(add(add(a,b),c),add(a,add(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM001-1 : 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
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 05:46:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (14398)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (14399)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)
% 0.19/0.51 % (14419)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)
% 0.19/0.51 % (14411)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 (2999ds/68Mi)
% 0.19/0.51 % (14406)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (14404)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14415)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (14398)Refutation not found, incomplete strategy% (14398)------------------------------
% 0.19/0.51 % (14398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14398)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (14398)Memory used [KB]: 5373
% 0.19/0.51 % (14398)Time elapsed: 0.112 s
% 0.19/0.51 % (14398)Instructions burned: 1 (million)
% 0.19/0.51 % (14398)------------------------------
% 0.19/0.51 % (14398)------------------------------
% 0.19/0.51 % (14414)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (14412)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (14422)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (14406)First to succeed.
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (14406)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 % (14406)------------------------------
% 0.19/0.52 % (14406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14406)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (14406)Memory used [KB]: 895
% 0.19/0.52 % (14406)Time elapsed: 0.121 s
% 0.19/0.52 % (14406)Instructions burned: 4 (million)
% 0.19/0.52 % (14406)------------------------------
% 0.19/0.52 % (14406)------------------------------
% 0.19/0.52 % (14396)Success in time 0.174 s
%------------------------------------------------------------------------------