TSTP Solution File: GRP517-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP517-1 : 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 : n026.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(subsumption_resolution,[],[f322,f7]) ).
fof(f7,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f6,f5,f4,f3]) ).
fof(f3,plain,
inverse(a1) = sF0,
introduced(function_definition,[]) ).
fof(f4,plain,
sF1 = multiply(sF0,a1),
introduced(function_definition,[]) ).
fof(f5,plain,
inverse(b1) = sF2,
introduced(function_definition,[]) ).
fof(f6,plain,
sF3 = multiply(sF2,b1),
introduced(function_definition,[]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f322,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f300,f6]) ).
fof(f300,plain,
sF1 = multiply(sF2,b1),
inference(superposition,[],[f278,f5]) ).
fof(f278,plain,
! [X14] : sF1 = multiply(inverse(X14),X14),
inference(superposition,[],[f123,f237]) ).
fof(f237,plain,
! [X0] : multiply(X0,sF1) = X0,
inference(superposition,[],[f123,f207]) ).
fof(f207,plain,
! [X6] : multiply(inverse(sF1),X6) = X6,
inference(forward_demodulation,[],[f206,f123]) ).
fof(f206,plain,
! [X6] : multiply(inverse(sF1),multiply(multiply(inverse(sF1),X6),sF1)) = X6,
inference(superposition,[],[f1,f175]) ).
fof(f175,plain,
sF1 = multiply(inverse(sF1),sF1),
inference(forward_demodulation,[],[f172,f4]) ).
fof(f172,plain,
multiply(inverse(sF1),multiply(sF0,a1)) = sF1,
inference(superposition,[],[f18,f159]) ).
fof(f159,plain,
a1 = multiply(sF1,a1),
inference(superposition,[],[f147,f4]) ).
fof(f147,plain,
! [X0] : multiply(multiply(sF0,X0),a1) = X0,
inference(superposition,[],[f123,f3]) ).
fof(f18,plain,
! [X1] : multiply(inverse(sF1),multiply(sF0,multiply(X1,a1))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X0,X1] : multiply(sF0,multiply(X1,a1)) = multiply(multiply(inverse(multiply(inverse(sF1),X0)),X1),X0),
inference(superposition,[],[f8,f1]) ).
fof(f8,plain,
! [X0] : multiply(sF0,multiply(multiply(inverse(sF1),X0),a1)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f123,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X3,X4,X5] : multiply(X2,multiply(multiply(inverse(X4),X5),multiply(multiply(inverse(multiply(X2,X3)),X4),X3))) = X5,
inference(superposition,[],[f1,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP517-1 : 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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:44:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (8704)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.51 % (8728)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)
% 0.21/0.51 % (8707)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)
% 0.21/0.52 % (8704)First to succeed.
% 0.21/0.52 % (8709)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)
% 0.21/0.52 % (8712)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)
% 0.21/0.52 % (8731)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)
% 0.21/0.53 % (8726)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)
% 0.21/0.53 % (8718)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)
% 0.21/0.53 % (8725)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)
% 0.21/0.53 % (8710)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)
% 0.21/0.53 % (8727)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)
% 0.21/0.53 % (8730)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)
% 0.21/0.53 % (8705)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)
% 0.21/0.53 % (8708)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)
% 0.21/0.54 % (8733)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)
% 0.21/0.54 % (8729)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)
% 0.21/0.54 % (8732)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)
% 0.21/0.54 % (8707)Instruction limit reached!
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (8707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (8707)Termination reason: Unknown
% 0.21/0.54 % (8707)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (8707)Memory used [KB]: 5500
% 0.21/0.54 % (8707)Time elapsed: 0.118 s
% 0.21/0.54 % (8707)Instructions burned: 6 (million)
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8704)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (8704)------------------------------
% 0.21/0.54 % (8704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (8704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (8704)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (8704)Memory used [KB]: 5756
% 0.21/0.54 % (8704)Time elapsed: 0.100 s
% 0.21/0.54 % (8704)Instructions burned: 19 (million)
% 0.21/0.54 % (8704)------------------------------
% 0.21/0.54 % (8704)------------------------------
% 0.21/0.54 % (8703)Success in time 0.18 s
%------------------------------------------------------------------------------