TSTP Solution File: GRP446-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP446-1 : 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 : n019.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 16:15:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(subsumption_resolution,[],[f22,f146]) ).
fof(f146,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f145,f90]) ).
fof(f90,plain,
! [X2,X0,X1] : divide(X2,divide(X1,multiply(inverse(X2),multiply(X0,X1)))) = X0,
inference(forward_demodulation,[],[f73,f54]) ).
fof(f54,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f46,f46]) ).
fof(f46,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f45,f7]) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f45,plain,
! [X0,X1] : multiply(X1,divide(inverse(X1),inverse(X0))) = X0,
inference(forward_demodulation,[],[f29,f7]) ).
fof(f29,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f5,f3]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f73,plain,
! [X2,X0,X1] : divide(X2,divide(X1,multiply(inverse(X2),multiply(inverse(inverse(X0)),X1)))) = X0,
inference(superposition,[],[f42,f46]) ).
fof(f42,plain,
! [X3,X4,X5] : divide(X5,divide(multiply(inverse(X3),X4),multiply(inverse(X5),X4))) = X3,
inference(forward_demodulation,[],[f24,f7]) ).
fof(f24,plain,
! [X3,X4,X5] : divide(X5,divide(multiply(inverse(X3),X4),divide(inverse(X5),inverse(X4)))) = X3,
inference(superposition,[],[f6,f7]) ).
fof(f145,plain,
! [X2,X0,X1] : divide(X2,divide(X0,multiply(inverse(X2),multiply(inverse(inverse(X1)),X0)))) = X1,
inference(forward_demodulation,[],[f144,f7]) ).
fof(f144,plain,
! [X2,X0,X1] : divide(X2,divide(X0,multiply(inverse(X2),divide(inverse(inverse(X1)),inverse(X0))))) = X1,
inference(forward_demodulation,[],[f110,f7]) ).
fof(f110,plain,
! [X2,X0,X1] : divide(X2,divide(X0,divide(inverse(X2),inverse(divide(inverse(inverse(X1)),inverse(X0)))))) = X1,
inference(superposition,[],[f25,f3]) ).
fof(f25,plain,
! [X8,X6,X9,X7] : divide(X9,divide(X7,divide(inverse(X9),divide(divide(inverse(X7),X8),divide(inverse(inverse(X6)),X8))))) = X6,
inference(superposition,[],[f6,f6]) ).
fof(f22,plain,
a2 != inverse(inverse(a2)),
inference(backward_demodulation,[],[f4,f21]) ).
fof(f21,plain,
! [X4,X5] : multiply(multiply(inverse(X4),X4),X5) = inverse(inverse(X5)),
inference(superposition,[],[f7,f10]) ).
fof(f10,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f7]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:32:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (19660)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)
% 0.21/0.51 % (19674)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)
% 0.21/0.51 % (19671)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)
% 0.21/0.51 % (19670)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)
% 0.21/0.51 % (19666)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 % (19663)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 % (19672)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)
% 0.21/0.52 % (19668)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)
% 0.21/0.52 % (19676)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)
% 0.21/0.52 % (19684)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)
% 0.21/0.52 % (19661)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)
% 0.21/0.53 % (19661)Instruction limit reached!
% 0.21/0.53 % (19661)------------------------------
% 0.21/0.53 % (19661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19661)Termination reason: Unknown
% 0.21/0.53 % (19661)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (19661)Memory used [KB]: 5500
% 0.21/0.53 % (19661)Time elapsed: 0.131 s
% 0.21/0.53 % (19661)Instructions burned: 7 (million)
% 0.21/0.53 % (19661)------------------------------
% 0.21/0.53 % (19661)------------------------------
% 0.21/0.53 % (19680)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 % (19682)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)
% 0.21/0.53 % (19664)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 % (19679)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 % (19662)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)
% 0.21/0.53 % (19683)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)
% 0.21/0.53 % (19676)First to succeed.
% 0.21/0.53 % (19664)Instruction limit reached!
% 0.21/0.53 % (19664)------------------------------
% 0.21/0.53 % (19664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19664)Termination reason: Unknown
% 0.21/0.53 % (19664)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (19664)Memory used [KB]: 5500
% 0.21/0.53 % (19664)Time elapsed: 0.130 s
% 0.21/0.53 % (19664)Instructions burned: 8 (million)
% 0.21/0.53 % (19664)------------------------------
% 0.21/0.53 % (19664)------------------------------
% 0.21/0.53 % (19669)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)
% 0.21/0.53 % (19677)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)
% 0.21/0.53 % (19659)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)
% 0.21/0.54 % (19685)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)
% 0.21/0.54 % (19681)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)
% 0.21/0.54 % (19665)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54 % (19659)Instruction limit reached!
% 0.21/0.54 % (19659)------------------------------
% 0.21/0.54 % (19659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19659)Termination reason: Unknown
% 0.21/0.54 % (19659)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (19659)Memory used [KB]: 5628
% 0.21/0.54 % (19659)Time elapsed: 0.140 s
% 0.21/0.54 % (19659)Instructions burned: 11 (million)
% 0.21/0.54 % (19659)------------------------------
% 0.21/0.54 % (19659)------------------------------
% 0.21/0.54 % (19676)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 % (19676)------------------------------
% 0.21/0.54 % (19676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19676)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (19676)Memory used [KB]: 10106
% 0.21/0.54 % (19676)Time elapsed: 0.126 s
% 0.21/0.54 % (19676)Instructions burned: 12 (million)
% 0.21/0.54 % (19676)------------------------------
% 0.21/0.54 % (19676)------------------------------
% 0.21/0.54 % (19657)Success in time 0.185 s
%------------------------------------------------------------------------------