TSTP Solution File: ROB008-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ROB008-1 : 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 : n024.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 18:16:01 EDT 2022
% Result : Unsatisfiable 0.16s 0.58s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,plain,
$false,
inference(subsumption_resolution,[],[f390,f6]) ).
fof(f6,plain,
a != add(b,a),
inference(backward_demodulation,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f5,axiom,
a != add(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).
fof(f390,plain,
a = add(b,a),
inference(backward_demodulation,[],[f385,f370]) ).
fof(f370,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f20,f1]) ).
fof(f20,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X0,negate(X1))))) = X0,
inference(superposition,[],[f3,f1]) ).
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(f385,plain,
a = negate(add(negate(add(c,add(b,a))),negate(add(negate(c),add(b,a))))),
inference(forward_demodulation,[],[f375,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(f375,plain,
a = negate(add(negate(add(add(c,b),a)),negate(add(negate(c),add(b,a))))),
inference(superposition,[],[f20,f126]) ).
fof(f126,plain,
negate(add(a,negate(add(c,b)))) = negate(add(negate(c),add(b,a))),
inference(backward_demodulation,[],[f15,f122]) ).
fof(f122,plain,
! [X16,X17,X15] : add(X16,add(X17,X15)) = add(X16,add(X15,X17)),
inference(forward_demodulation,[],[f102,f2]) ).
fof(f102,plain,
! [X16,X17,X15] : add(X16,add(X15,X17)) = add(add(X16,X17),X15),
inference(superposition,[],[f16,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f15,plain,
negate(add(a,negate(add(c,b)))) = negate(add(negate(c),add(a,b))),
inference(backward_demodulation,[],[f7,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f7,plain,
negate(add(a,add(b,negate(c)))) = negate(add(a,negate(add(c,b)))),
inference(backward_demodulation,[],[f4,f1]) ).
fof(f4,axiom,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ROB008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 12:20:04 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.47 % (665)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 (3000ds/7Mi)
% 0.16/0.47 % (675)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 (3000ds/321Mi)
% 0.16/0.48 % (665)Instruction limit reached!
% 0.16/0.48 % (665)------------------------------
% 0.16/0.48 % (665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (685)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.16/0.49 % (676)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.16/0.49 % (684)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.16/0.50 % (665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (665)Termination reason: Unknown
% 0.16/0.50 % (665)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (665)Memory used [KB]: 5628
% 0.16/0.50 % (665)Time elapsed: 0.111 s
% 0.16/0.50 % (665)Instructions burned: 8 (million)
% 0.16/0.50 % (665)------------------------------
% 0.16/0.50 % (665)------------------------------
% 0.16/0.50 % (672)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 (3000ds/48Mi)
% 0.16/0.50 % (648)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.16/0.52 % (666)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.16/0.52 % (662)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 (3000ds/6Mi)
% 0.16/0.52 % (663)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 (3000ds/48Mi)
% 0.16/0.52 % (650)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 (3000ds/37Mi)
% 0.16/0.52 % (649)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 (3000ds/10Mi)
% 0.16/0.52 % (673)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 (3000ds/292Mi)
% 0.16/0.52 % (671)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 (3000ds/37Mi)
% 0.16/0.52 % (670)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.16/0.53 % (664)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.16/0.53 % (674)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 (3000ds/353Mi)
% 0.16/0.54 % (662)Instruction limit reached!
% 0.16/0.54 % (662)------------------------------
% 0.16/0.54 % (662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (662)Termination reason: Unknown
% 0.16/0.54 % (662)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (662)Memory used [KB]: 5500
% 0.16/0.54 % (662)Time elapsed: 0.156 s
% 0.16/0.54 % (662)Instructions burned: 7 (million)
% 0.16/0.54 % (662)------------------------------
% 0.16/0.54 % (662)------------------------------
% 0.16/0.54 % (677)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 (3000ds/48Mi)
% 0.16/0.54 % (689)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/495Mi)
% 0.16/0.54 % (687)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 (3000ds/177Mi)
% 0.16/0.54 % (669)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 (3000ds/37Mi)
% 0.16/0.54 % (691)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 (3000ds/48Mi)
% 0.16/0.54 % (681)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/103Mi)
% 0.16/0.55 % (686)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.16/0.55 % (649)Instruction limit reached!
% 0.16/0.55 % (649)------------------------------
% 0.16/0.55 % (649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (649)Termination reason: Unknown
% 0.16/0.55 % (649)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (649)Memory used [KB]: 5628
% 0.16/0.55 % (649)Time elapsed: 0.148 s
% 0.16/0.55 % (649)Instructions burned: 10 (million)
% 0.16/0.55 % (649)------------------------------
% 0.16/0.55 % (649)------------------------------
% 0.16/0.56 % (666)Instruction limit reached!
% 0.16/0.56 % (666)------------------------------
% 0.16/0.56 % (666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56 % (666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56 % (666)Termination reason: Unknown
% 0.16/0.56 % (666)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (666)Memory used [KB]: 6140
% 0.16/0.56 % (666)Time elapsed: 0.131 s
% 0.16/0.56 % (666)Instructions burned: 34 (million)
% 0.16/0.56 % (666)------------------------------
% 0.16/0.56 % (666)------------------------------
% 0.16/0.56 % (690)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.16/0.56 % (678)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/257Mi)
% 0.16/0.56 % (680)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.16/0.56 % (688)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.16/0.57 % (682)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.16/0.57 % (663)First to succeed.
% 0.16/0.57 % (683)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.16/0.58 % (663)Refutation found. Thanks to Tanya!
% 0.16/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.58 % (663)------------------------------
% 0.16/0.58 % (663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (663)Termination reason: Refutation
% 0.16/0.58
% 0.16/0.58 % (663)Memory used [KB]: 5756
% 0.16/0.58 % (663)Time elapsed: 0.194 s
% 0.16/0.58 % (663)Instructions burned: 19 (million)
% 0.16/0.58 % (663)------------------------------
% 0.16/0.58 % (663)------------------------------
% 0.16/0.58 % (647)Success in time 0.246 s
%------------------------------------------------------------------------------