TSTP Solution File: GRP523-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n029.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 16:16:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 125 ( 125 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f887,plain,
$false,
inference(subsumption_resolution,[],[f886,f842]) ).
fof(f842,plain,
! [X11,X12,X13] : multiply(X13,multiply(X11,X12)) = multiply(X13,multiply(X12,X11)),
inference(forward_demodulation,[],[f841,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f841,plain,
! [X11,X12,X13] : multiply(X13,multiply(X11,X12)) = divide(X13,inverse(multiply(X12,X11))),
inference(superposition,[],[f5,f707]) ).
fof(f707,plain,
! [X2,X1] : inverse(multiply(X1,X2)) = inverse(multiply(X2,X1)),
inference(forward_demodulation,[],[f701,f667]) ).
fof(f667,plain,
! [X8,X9] : divide(inverse(X9),X8) = inverse(multiply(X9,X8)),
inference(superposition,[],[f607,f361]) ).
fof(f361,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
inference(superposition,[],[f269,f78]) ).
fof(f78,plain,
! [X4,X5] : inverse(divide(X4,multiply(X5,X4))) = X5,
inference(forward_demodulation,[],[f77,f5]) ).
fof(f77,plain,
! [X4,X5] : inverse(divide(X4,divide(X5,inverse(X4)))) = X5,
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
! [X3,X4,X5] : inverse(divide(X4,divide(X5,divide(divide(X3,X3),X4)))) = X5,
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f269,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f123,f252]) ).
fof(f252,plain,
! [X8,X7] : multiply(X7,divide(X8,X8)) = X7,
inference(superposition,[],[f242,f167]) ).
fof(f167,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f134,f134]) ).
fof(f134,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f120,f5]) ).
fof(f120,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
inference(superposition,[],[f78,f9]) ).
fof(f9,plain,
! [X2,X3] : multiply(divide(X2,X2),X3) = inverse(inverse(X3)),
inference(superposition,[],[f3,f5]) ).
fof(f242,plain,
! [X2,X1] : multiply(X2,divide(X1,X2)) = X1,
inference(backward_demodulation,[],[f88,f240]) ).
fof(f240,plain,
! [X22,X23] : divide(X23,divide(X22,X22)) = X23,
inference(forward_demodulation,[],[f217,f190]) ).
fof(f190,plain,
! [X18,X20] : divide(X18,divide(X18,X20)) = X20,
inference(backward_demodulation,[],[f186,f189]) ).
fof(f189,plain,
! [X21,X22,X23] : divide(X21,X22) = divide(X21,multiply(X22,multiply(X23,inverse(X23)))),
inference(forward_demodulation,[],[f175,f5]) ).
fof(f175,plain,
! [X21,X22,X23] : divide(X21,X22) = divide(X21,divide(X22,inverse(multiply(X23,inverse(X23))))),
inference(superposition,[],[f1,f134]) ).
fof(f186,plain,
! [X18,X19,X20] : divide(X18,divide(X18,multiply(X20,multiply(X19,inverse(X19))))) = X20,
inference(forward_demodulation,[],[f174,f5]) ).
fof(f174,plain,
! [X18,X19,X20] : divide(X18,divide(X18,divide(X20,inverse(multiply(X19,inverse(X19)))))) = X20,
inference(superposition,[],[f1,f134]) ).
fof(f217,plain,
! [X21,X22,X23] : divide(X21,divide(X21,divide(X23,divide(X22,X22)))) = X23,
inference(superposition,[],[f1,f167]) ).
fof(f88,plain,
! [X2,X0,X1] : multiply(X2,divide(X1,divide(X2,divide(X0,X0)))) = X1,
inference(forward_demodulation,[],[f62,f5]) ).
fof(f62,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(X1,divide(X2,divide(X0,X0))))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f123,plain,
! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f78,f3]) ).
fof(f607,plain,
! [X3,X4] : divide(divide(X3,X4),X3) = inverse(X4),
inference(superposition,[],[f269,f263]) ).
fof(f263,plain,
! [X2,X1] : inverse(divide(divide(X2,X1),X2)) = X1,
inference(superposition,[],[f78,f242]) ).
fof(f701,plain,
! [X2,X1] : inverse(multiply(X1,X2)) = divide(inverse(X2),X1),
inference(superposition,[],[f607,f381]) ).
fof(f381,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f190,f5]) ).
fof(f886,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(backward_demodulation,[],[f435,f885]) ).
fof(f885,plain,
! [X21,X22,X20] : multiply(X20,multiply(X22,X21)) = multiply(X22,multiply(X20,X21)),
inference(forward_demodulation,[],[f884,f5]) ).
fof(f884,plain,
! [X21,X22,X20] : divide(X20,inverse(multiply(X22,X21))) = multiply(X22,multiply(X20,X21)),
inference(forward_demodulation,[],[f867,f667]) ).
fof(f867,plain,
! [X21,X22,X20] : divide(X20,divide(inverse(X22),X21)) = multiply(X22,multiply(X20,X21)),
inference(superposition,[],[f729,f361]) ).
fof(f729,plain,
! [X2,X0,X1] : divide(X0,divide(divide(multiply(X0,X1),X2),X1)) = X2,
inference(forward_demodulation,[],[f728,f722]) ).
fof(f722,plain,
! [X6,X7,X5] : divide(X7,divide(X6,X5)) = multiply(X7,divide(X5,X6)),
inference(superposition,[],[f5,f594]) ).
fof(f594,plain,
! [X2,X3] : inverse(divide(X3,X2)) = divide(X2,X3),
inference(superposition,[],[f263,f190]) ).
fof(f728,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,divide(multiply(X0,X1),X2))) = X2,
inference(backward_demodulation,[],[f686,f722]) ).
fof(f686,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,divide(X2,multiply(X0,X1)))) = X2,
inference(forward_demodulation,[],[f683,f5]) ).
fof(f683,plain,
! [X2,X0,X1] : divide(X0,inverse(multiply(X1,divide(X2,multiply(X0,X1))))) = X2,
inference(backward_demodulation,[],[f49,f667]) ).
fof(f49,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f435,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(backward_demodulation,[],[f4,f431]) ).
fof(f431,plain,
! [X6,X5] : multiply(X5,X6) = multiply(X6,X5),
inference(superposition,[],[f242,f426]) ).
fof(f426,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f418,f268]) ).
fof(f268,plain,
! [X11,X9] : divide(X11,X9) = multiply(X11,inverse(X9)),
inference(backward_demodulation,[],[f150,f252]) ).
fof(f150,plain,
! [X10,X11,X9] : divide(X11,X9) = multiply(X11,inverse(multiply(X9,divide(X10,X10)))),
inference(superposition,[],[f5,f123]) ).
fof(f418,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f408,f5]) ).
fof(f408,plain,
! [X2,X4] : multiply(divide(X2,X4),X4) = X2,
inference(backward_demodulation,[],[f250,f382]) ).
fof(f382,plain,
! [X2,X3,X4] : divide(X2,X4) = divide(X3,divide(X4,divide(X2,X3))),
inference(superposition,[],[f190,f1]) ).
fof(f250,plain,
! [X2,X3,X4] : multiply(divide(X3,divide(X4,divide(X2,X3))),X4) = X2,
inference(superposition,[],[f242,f1]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP523-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % 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 : n029.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 22:41:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (6291)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)
% 0.19/0.48 % (6286)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)
% 0.19/0.48 % (6285)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)
% 0.19/0.50 % (6270)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)
% 0.19/0.50 % (6268)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)
% 0.19/0.51 % (6274)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)
% 0.19/0.51 % (6280)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)
% 0.19/0.51 % (6269)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)
% 0.19/0.51 % (6287)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.51 % (6277)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)
% 0.19/0.51 % (6279)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)
% 0.19/0.51 % (6281)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)
% 0.19/0.52 % (6269)Instruction limit reached!
% 0.19/0.52 % (6269)------------------------------
% 0.19/0.52 % (6269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6269)Termination reason: Unknown
% 0.19/0.52 % (6269)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (6269)Memory used [KB]: 5500
% 0.19/0.52 % (6269)Time elapsed: 0.118 s
% 0.19/0.52 % (6269)Instructions burned: 7 (million)
% 0.19/0.52 % (6269)------------------------------
% 0.19/0.52 % (6269)------------------------------
% 0.19/0.52 % (6267)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)
% 0.19/0.52 % (6284)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)
% 0.19/0.52 % (6295)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)
% 0.19/0.52 % (6283)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)
% 0.19/0.52 % (6293)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)
% 0.19/0.52 % (6289)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)
% 0.19/0.52 % (6272)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)
% 0.19/0.52 % (6267)Instruction limit reached!
% 0.19/0.52 % (6267)------------------------------
% 0.19/0.52 % (6267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6292)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)
% 0.19/0.52 % (6288)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)
% 0.19/0.52 % (6278)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)
% 0.19/0.52 % (6266)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.53 % (6296)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)
% 0.19/0.53 % (6271)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)
% 0.19/0.53 % (6276)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)
% 0.19/0.53 % (6294)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)
% 0.19/0.54 % (6282)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)
% 0.19/0.54 % (6267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6267)Termination reason: Unknown
% 0.19/0.54 % (6267)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6267)Memory used [KB]: 5628
% 0.19/0.54 % (6267)Time elapsed: 0.126 s
% 0.19/0.54 % (6267)Instructions burned: 10 (million)
% 0.19/0.54 % (6267)------------------------------
% 0.19/0.54 % (6267)------------------------------
% 0.19/0.54 % (6272)Instruction limit reached!
% 0.19/0.54 % (6272)------------------------------
% 0.19/0.54 % (6272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6272)Termination reason: Unknown
% 0.19/0.54 % (6272)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6272)Memory used [KB]: 5500
% 0.19/0.54 % (6272)Time elapsed: 0.151 s
% 0.19/0.54 % (6272)Instructions burned: 8 (million)
% 0.19/0.54 % (6272)------------------------------
% 0.19/0.54 % (6272)------------------------------
% 0.19/0.55 % (6290)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)
% 0.19/0.55 % (6287)First to succeed.
% 0.19/0.55 % (6273)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.55 % (6285)Also succeeded, but the first one will report.
% 0.19/0.55 % (6271)Instruction limit reached!
% 0.19/0.55 % (6271)------------------------------
% 0.19/0.55 % (6271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6287)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (6287)------------------------------
% 0.19/0.55 % (6287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (6287)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (6287)Memory used [KB]: 5884
% 0.19/0.55 % (6287)Time elapsed: 0.148 s
% 0.19/0.55 % (6287)Instructions burned: 33 (million)
% 0.19/0.55 % (6287)------------------------------
% 0.19/0.55 % (6287)------------------------------
% 0.19/0.55 % (6263)Success in time 0.204 s
%------------------------------------------------------------------------------