TSTP Solution File: GRP514-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP514-1 : 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 16:16:25 EDT 2022
% Result : Unsatisfiable 1.41s 0.56s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455,plain,
$false,
inference(subsumption_resolution,[],[f370,f179]) ).
fof(f179,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f102,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f12]) ).
fof(f12,plain,
! [X2,X3] : multiply(X2,multiply(X3,inverse(X2))) = X3,
inference(superposition,[],[f3,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,inverse(X1)),multiply(multiply(X1,X2),inverse(multiply(X0,X2))))) = X3,
inference(backward_demodulation,[],[f4,f87]) ).
fof(f87,plain,
! [X8,X9,X7] : multiply(multiply(X7,X9),X8) = multiply(multiply(X7,X8),X9),
inference(superposition,[],[f53,f33]) ).
fof(f33,plain,
! [X3,X4,X5] : multiply(X3,multiply(multiply(X5,X4),inverse(X5))) = multiply(X3,X4),
inference(superposition,[],[f4,f12]) ).
fof(f53,plain,
! [X2,X3,X4] : multiply(X2,X3) = multiply(multiply(X4,X3),multiply(X2,inverse(X4))),
inference(superposition,[],[f4,f17]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f370,plain,
a2 != multiply(multiply(b2,inverse(b2)),a2),
inference(backward_demodulation,[],[f2,f284]) ).
fof(f284,plain,
! [X16,X17] : multiply(X17,X16) = multiply(X16,X17),
inference(superposition,[],[f12,f201]) ).
fof(f201,plain,
! [X8,X7] : multiply(multiply(X7,X8),inverse(X8)) = X7,
inference(superposition,[],[f181,f87]) ).
fof(f181,plain,
! [X6,X5] : multiply(multiply(X5,inverse(X6)),X6) = X5,
inference(superposition,[],[f102,f1]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP514-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.13/0.35 % Computer : n029.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 : Mon Aug 29 22:40:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (4509)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (4525)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)
% 0.20/0.51 % (4517)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)
% 1.26/0.51 % (4506)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)
% 1.26/0.51 % (4511)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)
% 1.26/0.51 % (4519)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)
% 1.26/0.52 % (4503)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)
% 1.26/0.53 % (4503)Instruction limit reached!
% 1.26/0.53 % (4503)------------------------------
% 1.26/0.53 % (4503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (4513)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)
% 1.26/0.53 % (4504)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)
% 1.26/0.53 % (4531)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)
% 1.41/0.53 % (4503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53 % (4503)Termination reason: Unknown
% 1.41/0.53 % (4503)Termination phase: Saturation
% 1.41/0.53
% 1.41/0.53 % (4503)Memory used [KB]: 5756
% 1.41/0.53 % (4503)Time elapsed: 0.114 s
% 1.41/0.53 % (4503)Instructions burned: 12 (million)
% 1.41/0.53 % (4503)------------------------------
% 1.41/0.53 % (4503)------------------------------
% 1.41/0.54 % (4530)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)
% 1.41/0.54 % (4527)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)
% 1.41/0.54 % (4512)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)
% 1.41/0.54 % (4507)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)
% 1.41/0.54 % (4510)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)
% 1.41/0.54 % (4516)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)
% 1.41/0.54 % (4511)Instruction limit reached!
% 1.41/0.54 % (4511)------------------------------
% 1.41/0.54 % (4511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (4511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (4511)Termination reason: Unknown
% 1.41/0.54 % (4511)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (4511)Memory used [KB]: 6524
% 1.41/0.54 % (4511)Time elapsed: 0.130 s
% 1.41/0.54 % (4511)Instructions burned: 46 (million)
% 1.41/0.54 % (4511)------------------------------
% 1.41/0.54 % (4511)------------------------------
% 1.41/0.54 % (4523)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)
% 1.41/0.55 % (4502)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.41/0.55 % (4528)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)
% 1.41/0.55 % (4505)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)
% 1.41/0.55 % (4508)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)
% 1.41/0.55 % (4514)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)
% 1.41/0.55 % (4515)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)
% 1.41/0.55 % (4508)Instruction limit reached!
% 1.41/0.55 % (4508)------------------------------
% 1.41/0.55 % (4508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (4508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (4508)Termination reason: Unknown
% 1.41/0.55 % (4508)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (4508)Memory used [KB]: 5500
% 1.41/0.55 % (4508)Time elapsed: 0.114 s
% 1.41/0.55 % (4508)Instructions burned: 7 (million)
% 1.41/0.55 % (4508)------------------------------
% 1.41/0.55 % (4508)------------------------------
% 1.41/0.55 % (4525)First to succeed.
% 1.41/0.55 % (4524)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)
% 1.41/0.56 % (4525)Refutation found. Thanks to Tanya!
% 1.41/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.56 % (4525)------------------------------
% 1.41/0.56 % (4525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (4525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (4525)Termination reason: Refutation
% 1.41/0.56
% 1.41/0.56 % (4525)Memory used [KB]: 6140
% 1.41/0.56 % (4525)Time elapsed: 0.150 s
% 1.41/0.56 % (4525)Instructions burned: 27 (million)
% 1.41/0.56 % (4525)------------------------------
% 1.41/0.56 % (4525)------------------------------
% 1.41/0.56 % (4501)Success in time 0.198 s
%------------------------------------------------------------------------------