TSTP Solution File: GRP547-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP547-1 : 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 : n002.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 16:16:30 EDT 2022
% Result : Unsatisfiable 1.82s 0.60s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(trivial_inequality_removal,[],[f111]) ).
fof(f111,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(backward_demodulation,[],[f71,f91]) ).
fof(f91,plain,
! [X8,X9,X7] : divide(divide(X9,X7),divide(identity,X8)) = divide(X9,divide(X7,X8)),
inference(superposition,[],[f47,f28]) ).
fof(f28,plain,
! [X6,X5] : divide(divide(X5,X6),X5) = divide(identity,X6),
inference(forward_demodulation,[],[f22,f14]) ).
fof(f14,plain,
! [X4] : divide(X4,identity) = X4,
inference(forward_demodulation,[],[f12,f13]) ).
fof(f13,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f7,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X3,X4] : divide(divide(identity,divide(divide(X3,X4),X3)),identity) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f22,plain,
! [X6,X5] : divide(identity,divide(X6,identity)) = divide(divide(X5,X6),X5),
inference(superposition,[],[f13,f13]) ).
fof(f47,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,X2),divide(X1,X2)),
inference(backward_demodulation,[],[f15,f39]) ).
fof(f39,plain,
! [X6,X4,X5] : divide(divide(identity,divide(X4,X5)),X6) = divide(divide(X5,X6),X4),
inference(superposition,[],[f27,f1]) ).
fof(f27,plain,
! [X4,X5] : divide(X4,divide(X4,X5)) = X5,
inference(backward_demodulation,[],[f18,f23]) ).
fof(f23,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f13,f14]) ).
fof(f18,plain,
! [X4,X5] : divide(divide(identity,divide(identity,X4)),divide(X4,X5)) = X5,
inference(superposition,[],[f1,f14]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(X1,X2),X0)),X2),
inference(backward_demodulation,[],[f11,f14]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(divide(X1,X2),X0),identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f71,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(forward_demodulation,[],[f66,f63]) ).
fof(f63,plain,
! [X6,X4,X5] : divide(divide(X5,X4),X6) = divide(divide(X5,X6),X4),
inference(backward_demodulation,[],[f39,f58]) ).
fof(f58,plain,
! [X2,X3] : divide(identity,divide(X2,X3)) = divide(X3,X2),
inference(superposition,[],[f28,f27]) ).
fof(f66,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f6,f58]) ).
fof(f6,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,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
% 0.12/0.12 % Problem : GRP547-1 : 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
% 0.13/0.34 % Computer : n002.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 22:45:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (5381)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (5380)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)
% 0.20/0.55 % (5397)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)
% 0.20/0.55 % (5380)Instruction limit reached!
% 0.20/0.55 % (5380)------------------------------
% 0.20/0.55 % (5380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5398)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)
% 0.20/0.55 % (5388)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)
% 0.20/0.56 % (5380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5380)Termination reason: Unknown
% 0.20/0.56 % (5380)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5380)Memory used [KB]: 5628
% 0.20/0.56 % (5380)Time elapsed: 0.128 s
% 0.20/0.56 % (5380)Instructions burned: 8 (million)
% 0.20/0.56 % (5380)------------------------------
% 0.20/0.56 % (5380)------------------------------
% 0.20/0.57 % (5389)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)
% 1.69/0.57 % (5379)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)
% 1.69/0.57 % (5400)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)
% 1.69/0.57 % (5391)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)
% 1.69/0.57 % (5377)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)
% 1.69/0.58 % (5375)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)
% 1.69/0.58 % (5386)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)
% 1.69/0.58 % (5376)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)
% 1.69/0.58 % (5383)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)
% 1.69/0.58 % (5385)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)
% 1.69/0.58 % (5396)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)
% 1.69/0.58 % (5387)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)
% 1.82/0.58 % (5393)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)
% 1.82/0.58 % (5377)Instruction limit reached!
% 1.82/0.58 % (5377)------------------------------
% 1.82/0.58 % (5377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58 % (5377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58 % (5377)Termination reason: Unknown
% 1.82/0.58 % (5377)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (5377)Memory used [KB]: 5500
% 1.82/0.58 % (5377)Time elapsed: 0.165 s
% 1.82/0.58 % (5377)Instructions burned: 7 (million)
% 1.82/0.58 % (5377)------------------------------
% 1.82/0.58 % (5377)------------------------------
% 1.82/0.58 % (5404)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)
% 1.82/0.58 % (5395)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.82/0.59 % (5395)First to succeed.
% 1.82/0.59 % (5402)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)
% 1.82/0.59 % (5401)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)
% 1.82/0.59 % (5382)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)
% 1.82/0.59 % (5403)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)
% 1.82/0.59 % (5378)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)
% 1.82/0.59 % (5394)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)
% 1.82/0.60 % (5381)Instruction limit reached!
% 1.82/0.60 % (5381)------------------------------
% 1.82/0.60 % (5381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (5381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (5381)Termination reason: Unknown
% 1.82/0.60 % (5381)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (5381)Memory used [KB]: 6012
% 1.82/0.60 % (5381)Time elapsed: 0.178 s
% 1.82/0.60 % (5381)Instructions burned: 33 (million)
% 1.82/0.60 % (5381)------------------------------
% 1.82/0.60 % (5381)------------------------------
% 1.82/0.60 % (5384)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)
% 1.82/0.60 % (5390)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)
% 1.82/0.60 % (5375)Instruction limit reached!
% 1.82/0.60 % (5375)------------------------------
% 1.82/0.60 % (5375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (5375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (5375)Termination reason: Unknown
% 1.82/0.60 % (5375)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (5375)Memory used [KB]: 5628
% 1.82/0.60 % (5375)Time elapsed: 0.146 s
% 1.82/0.60 % (5375)Instructions burned: 11 (million)
% 1.82/0.60 % (5375)------------------------------
% 1.82/0.60 % (5375)------------------------------
% 1.82/0.60 % (5379)Instruction limit reached!
% 1.82/0.60 % (5379)------------------------------
% 1.82/0.60 % (5379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (5379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (5379)Termination reason: Unknown
% 1.82/0.60 % (5379)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (5379)Memory used [KB]: 5756
% 1.82/0.60 % (5379)Time elapsed: 0.162 s
% 1.82/0.60 % (5379)Instructions burned: 20 (million)
% 1.82/0.60 % (5379)------------------------------
% 1.82/0.60 % (5379)------------------------------
% 1.82/0.60 % (5395)Refutation found. Thanks to Tanya!
% 1.82/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.82/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.60 % (5395)------------------------------
% 1.82/0.60 % (5395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (5395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (5395)Termination reason: Refutation
% 1.82/0.60
% 1.82/0.60 % (5395)Memory used [KB]: 5500
% 1.82/0.60 % (5395)Time elapsed: 0.183 s
% 1.82/0.60 % (5395)Instructions burned: 6 (million)
% 1.82/0.60 % (5395)------------------------------
% 1.82/0.60 % (5395)------------------------------
% 1.82/0.60 % (5373)Success in time 0.247 s
%------------------------------------------------------------------------------