TSTP Solution File: ROB003-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ROB003-1 : 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 : n006.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 18:15:59 EDT 2022
% Result : Unsatisfiable 1.93s 0.60s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f263,plain,
$false,
inference(subsumption_resolution,[],[f262,f233]) ).
fof(f233,plain,
! [X0] : negate(negate(X0)) = X0,
inference(backward_demodulation,[],[f229,f230]) ).
fof(f230,plain,
! [X1] : add(negate(c),X1) = X1,
inference(backward_demodulation,[],[f57,f229]) ).
fof(f57,plain,
! [X1] : negate(add(negate(c),negate(add(negate(c),X1)))) = X1,
inference(superposition,[],[f30,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f30,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(c))))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : c = add(X0,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_exists_a_constant) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f229,plain,
! [X0] : negate(add(negate(c),negate(X0))) = X0,
inference(backward_demodulation,[],[f30,f222]) ).
fof(f222,plain,
! [X0] : add(X0,negate(c)) = X0,
inference(forward_demodulation,[],[f221,f58]) ).
fof(f58,plain,
! [X2,X3] : add(X2,X3) = negate(add(negate(c),negate(add(X2,add(X3,negate(c)))))),
inference(superposition,[],[f30,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f221,plain,
! [X0] : negate(add(negate(c),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(backward_demodulation,[],[f55,f217]) ).
fof(f217,plain,
! [X0] : negate(add(X0,negate(c))) = negate(add(negate(c),X0)),
inference(superposition,[],[f57,f30]) ).
fof(f55,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(c))) = X0,
inference(forward_demodulation,[],[f54,f4]) ).
fof(f54,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(add(X0,c)))) = X0,
inference(superposition,[],[f3,f50]) ).
fof(f50,plain,
c = negate(add(negate(c),negate(c))),
inference(forward_demodulation,[],[f44,f7]) ).
fof(f7,plain,
! [X0] : c = add(c,X0),
inference(superposition,[],[f1,f4]) ).
fof(f44,plain,
! [X0] : c = negate(add(negate(c),negate(add(c,negate(X0))))),
inference(superposition,[],[f3,f7]) ).
fof(f262,plain,
b != negate(negate(b)),
inference(backward_demodulation,[],[f10,f258]) ).
fof(f258,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(X0,negate(X1)))) = negate(X0),
inference(superposition,[],[f233,f3]) ).
fof(f10,plain,
b != add(negate(add(negate(b),a)),negate(add(negate(b),negate(a)))),
inference(superposition,[],[f6,f1]) ).
fof(f6,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))),
inference(backward_demodulation,[],[f5,f1]) ).
fof(f5,axiom,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB003-1 : 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:15:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.54 % (24006)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.56 % (24010)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)
% 0.21/0.56 % (24022)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)
% 0.21/0.56 % (24014)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)
% 1.68/0.57 % (24022)First to succeed.
% 1.68/0.58 % (24020)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 1.68/0.58 % (24018)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.68/0.58 % (24026)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.68/0.59 % (24012)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.68/0.59 % (24009)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)
% 1.93/0.59 % (24008)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)
% 1.93/0.59 % (24019)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.93/0.60 % (24022)Refutation found. Thanks to Tanya!
% 1.93/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.93/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.60 % (24022)------------------------------
% 1.93/0.60 % (24022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (24022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (24022)Termination reason: Refutation
% 1.93/0.60
% 1.93/0.60 % (24022)Memory used [KB]: 5628
% 1.93/0.60 % (24022)Time elapsed: 0.146 s
% 1.93/0.60 % (24022)Instructions burned: 13 (million)
% 1.93/0.60 % (24022)------------------------------
% 1.93/0.60 % (24022)------------------------------
% 1.93/0.60 % (24005)Success in time 0.245 s
%------------------------------------------------------------------------------