TSTP Solution File: ROB021-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ROB021-1 : 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_uns --cores 0 -t %d %s
% Computer : n027.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 18:16:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(trivial_inequality_removal,[],[f61]) ).
fof(f61,plain,
negate(negate(negate(b))) != negate(negate(negate(b))),
inference(backward_demodulation,[],[f39,f52]) ).
fof(f52,plain,
! [X4,X5] : add(negate(add(X5,negate(X4))),negate(add(negate(X5),negate(X4)))) = X4,
inference(superposition,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f16,plain,
! [X2,X3] : add(negate(add(X3,negate(X2))),negate(add(negate(X2),negate(X3)))) = X2,
inference(superposition,[],[f8,f1]) ).
fof(f8,plain,
! [X0,X1] : add(negate(add(negate(X0),X1)),negate(add(negate(X0),negate(X1)))) = X0,
inference(unit_resulting_resolution,[],[f3,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( negate(X1) != negate(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative_equality_implies_positive_equality) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f39,plain,
negate(negate(negate(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b))))))) != negate(negate(negate(b))),
inference(unit_resulting_resolution,[],[f14,f4]) ).
fof(f14,plain,
negate(negate(b)) != negate(negate(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))))),
inference(unit_resulting_resolution,[],[f7,f4]) ).
fof(f7,plain,
negate(b) != negate(add(negate(add(a,negate(b))),negate(add(negate(a),negate(b))))),
inference(unit_resulting_resolution,[],[f5,f4]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB021-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 12:34:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (21350)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (21355)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (21348)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51 % (21366)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (21359)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (21357)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (21366)Instruction limit reached!
% 0.19/0.51 % (21366)------------------------------
% 0.19/0.51 % (21366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21346)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (21350)First to succeed.
% 0.19/0.51 % (21356)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=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (21359)Instruction limit reached!
% 0.19/0.51 % (21359)------------------------------
% 0.19/0.51 % (21359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21351)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (21350)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 % (21350)------------------------------
% 0.19/0.51 % (21350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21350)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (21350)Memory used [KB]: 5884
% 0.19/0.51 % (21350)Time elapsed: 0.101 s
% 0.19/0.51 % (21350)Instructions burned: 7 (million)
% 0.19/0.51 % (21350)------------------------------
% 0.19/0.51 % (21350)------------------------------
% 0.19/0.51 % (21341)Success in time 0.159 s
%------------------------------------------------------------------------------