TSTP Solution File: BOO010-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO010-2 : 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 : n008.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 15:49:22 EDT 2022
% Result : Unsatisfiable 2.36s 0.67s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% 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 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,plain,
$false,
inference(trivial_inequality_removal,[],[f508]) ).
fof(f508,plain,
a != a,
inference(superposition,[],[f15,f410]) ).
fof(f410,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(superposition,[],[f395,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f395,plain,
! [X18,X19] : add(X18,multiply(X19,X18)) = X18,
inference(forward_demodulation,[],[f394,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f394,plain,
! [X18,X19] : multiply(multiplicative_identity,X18) = add(X18,multiply(X19,X18)),
inference(forward_demodulation,[],[f372,f303]) ).
fof(f303,plain,
! [X5] : multiplicative_identity = add(multiplicative_identity,X5),
inference(forward_demodulation,[],[f275,f7]) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f275,plain,
! [X5] : add(multiplicative_identity,X5) = add(X5,inverse(X5)),
inference(superposition,[],[f166,f12]) ).
fof(f166,plain,
! [X0,X1] : add(X1,X0) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f165,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f165,plain,
! [X0,X1] : multiply(add(X1,X0),multiplicative_identity) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f160,plain,
! [X0,X1] : multiply(add(X1,X0),multiplicative_identity) = add(multiply(X1,inverse(X0)),X0),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f372,plain,
! [X18,X19] : multiply(add(multiplicative_identity,X19),X18) = add(X18,multiply(X19,X18)),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f15,axiom,
a != add(a,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_ab_is_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO010-2 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:08:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (15097)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)
% 1.42/0.55 % (15099)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)
% 1.42/0.55 % (15113)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.42/0.55 % (15097)Instruction limit reached!
% 1.42/0.55 % (15097)------------------------------
% 1.42/0.55 % (15097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (15105)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)
% 1.42/0.56 % (15097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (15097)Termination reason: Unknown
% 1.42/0.56 % (15097)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (15097)Memory used [KB]: 5500
% 1.42/0.56 % (15097)Time elapsed: 0.137 s
% 1.42/0.56 % (15097)Instructions burned: 7 (million)
% 1.42/0.56 % (15097)------------------------------
% 1.42/0.56 % (15097)------------------------------
% 1.42/0.56 % (15115)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 (2999ds/248Mi)
% 1.69/0.56 % (15107)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)
% 1.69/0.60 % (15095)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)
% 1.69/0.60 % (15096)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.69/0.60 % (15103)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)
% 1.69/0.60 % (15093)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)
% 1.69/0.61 % (15094)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)
% 1.69/0.61 % (15116)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)
% 1.69/0.61 % (15109)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 (2999ds/439Mi)
% 1.69/0.61 % (15110)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 (2999ds/103Mi)
% 1.69/0.61 % (15112)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.69/0.61 % (15111)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.69/0.61 % (15119)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 (2999ds/381Mi)
% 1.69/0.61 % (15108)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 (2999ds/257Mi)
% 1.69/0.62 % (15117)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 (2999ds/267Mi)
% 1.69/0.62 % (15102)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)
% 1.69/0.62 % (15100)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 (2999ds/46Mi)
% 1.69/0.62 % (15120)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)
% 1.69/0.62 % (15118)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 (2999ds/495Mi)
% 1.69/0.62 % (15101)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)
% 1.69/0.62 % (15092)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)
% 1.69/0.63 % (15091)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.69/0.63 % (15099)Instruction limit reached!
% 1.69/0.63 % (15099)------------------------------
% 1.69/0.63 % (15099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63 % (15099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (15099)Termination reason: Unknown
% 1.69/0.63 % (15099)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (15099)Memory used [KB]: 10874
% 1.69/0.63 % (15099)Time elapsed: 0.179 s
% 1.69/0.63 % (15099)Instructions burned: 37 (million)
% 1.69/0.63 % (15099)------------------------------
% 1.69/0.63 % (15099)------------------------------
% 1.69/0.63 % (15104)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)
% 1.69/0.63 % (15094)Instruction limit reached!
% 1.69/0.63 % (15094)------------------------------
% 1.69/0.63 % (15094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63 % (15094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (15094)Termination reason: Unknown
% 1.69/0.63 % (15094)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (15094)Memory used [KB]: 5500
% 1.69/0.63 % (15094)Time elapsed: 0.206 s
% 1.69/0.63 % (15094)Instructions burned: 6 (million)
% 1.69/0.63 % (15094)------------------------------
% 1.69/0.63 % (15094)------------------------------
% 1.69/0.64 % (15098)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.69/0.64 % (15107)Instruction limit reached!
% 1.69/0.64 % (15107)------------------------------
% 1.69/0.64 % (15107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.65 % (15107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.65 % (15107)Termination reason: Unknown
% 1.69/0.65 % (15107)Termination phase: Saturation
% 1.69/0.65
% 1.69/0.65 % (15107)Memory used [KB]: 6012
% 1.69/0.65 % (15107)Time elapsed: 0.205 s
% 1.69/0.65 % (15107)Instructions burned: 49 (million)
% 1.69/0.65 % (15107)------------------------------
% 1.69/0.65 % (15107)------------------------------
% 1.69/0.65 % (15114)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 (2999ds/111Mi)
% 2.36/0.65 % (15092)Instruction limit reached!
% 2.36/0.65 % (15092)------------------------------
% 2.36/0.65 % (15092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.65 % (15092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.65 % (15092)Termination reason: Unknown
% 2.36/0.65 % (15092)Termination phase: Saturation
% 2.36/0.65
% 2.36/0.65 % (15092)Memory used [KB]: 5628
% 2.36/0.65 % (15092)Time elapsed: 0.195 s
% 2.36/0.65 % (15092)Instructions burned: 10 (million)
% 2.36/0.65 % (15092)------------------------------
% 2.36/0.65 % (15092)------------------------------
% 2.36/0.65 % (15106)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 (2999ds/212Mi)
% 2.36/0.66 % (15118)First to succeed.
% 2.36/0.67 % (15109)Also succeeded, but the first one will report.
% 2.36/0.67 % (15118)Refutation found. Thanks to Tanya!
% 2.36/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.36/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.67 % (15118)------------------------------
% 2.36/0.67 % (15118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67 % (15118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67 % (15118)Termination reason: Refutation
% 2.36/0.67
% 2.36/0.67 % (15118)Memory used [KB]: 5756
% 2.36/0.67 % (15118)Time elapsed: 0.225 s
% 2.36/0.67 % (15118)Instructions burned: 22 (million)
% 2.36/0.67 % (15118)------------------------------
% 2.36/0.67 % (15118)------------------------------
% 2.36/0.67 % (15090)Success in time 0.316 s
%------------------------------------------------------------------------------