TSTP Solution File: GRP559-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP559-1 : 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 : n003.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 16:16:32 EDT 2022
% Result : Unsatisfiable 1.48s 0.57s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(subsumption_resolution,[],[f325,f12]) ).
fof(f12,plain,
sF6 != sF3,
inference(definition_folding,[],[f4,f11,f10,f9,f7,f8,f7,f6,f5]) ).
fof(f5,plain,
inverse(b3) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
sF1 = divide(a3,sF0),
introduced(function_definition,[]) ).
fof(f8,plain,
sF3 = divide(sF1,sF2),
introduced(function_definition,[]) ).
fof(f7,plain,
sF2 = inverse(c3),
introduced(function_definition,[]) ).
fof(f9,plain,
divide(b3,sF2) = sF4,
introduced(function_definition,[]) ).
fof(f10,plain,
inverse(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f11,plain,
sF6 = divide(a3,sF5),
introduced(function_definition,[]) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f325,plain,
sF6 = sF3,
inference(forward_demodulation,[],[f324,f11]) ).
fof(f324,plain,
sF3 = divide(a3,sF5),
inference(forward_demodulation,[],[f323,f10]) ).
fof(f323,plain,
sF3 = divide(a3,inverse(sF4)),
inference(superposition,[],[f113,f308]) ).
fof(f308,plain,
sF4 = divide(sF3,a3),
inference(superposition,[],[f113,f302]) ).
fof(f302,plain,
a3 = inverse(divide(sF4,sF3)),
inference(forward_demodulation,[],[f295,f14]) ).
fof(f14,plain,
! [X4] : a3 = divide(X4,inverse(divide(sF1,divide(X4,sF0)))),
inference(superposition,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f295,plain,
! [X0] : inverse(divide(sF4,sF3)) = divide(X0,inverse(divide(sF1,divide(X0,sF0)))),
inference(superposition,[],[f1,f149]) ).
fof(f149,plain,
sF1 = divide(inverse(divide(sF4,sF3)),sF0),
inference(forward_demodulation,[],[f142,f5]) ).
fof(f142,plain,
divide(inverse(divide(sF4,sF3)),inverse(b3)) = sF1,
inference(superposition,[],[f113,f32]) ).
fof(f32,plain,
b3 = divide(sF1,inverse(divide(sF4,sF3))),
inference(superposition,[],[f16,f8]) ).
fof(f16,plain,
! [X6] : b3 = divide(X6,inverse(divide(sF4,divide(X6,sF2)))),
inference(superposition,[],[f1,f9]) ).
fof(f113,plain,
! [X2,X3] : divide(X2,inverse(divide(X3,X2))) = X3,
inference(superposition,[],[f13,f108]) ).
fof(f108,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
inference(superposition,[],[f13,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP559-1 : 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
% 0.14/0.34 % Computer : n003.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 22:36:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (19132)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)
% 0.21/0.50 % (19133)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)
% 0.21/0.51 % (19150)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.21/0.51 % (19131)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)
% 0.21/0.51 % (19142)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)
% 0.21/0.51 % (19132)Instruction limit reached!
% 0.21/0.51 % (19132)------------------------------
% 0.21/0.51 % (19132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (19132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (19132)Termination reason: Unknown
% 0.21/0.52 % (19132)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (19132)Memory used [KB]: 5500
% 0.21/0.52 % (19132)Time elapsed: 0.103 s
% 0.21/0.52 % (19132)Instructions burned: 6 (million)
% 0.21/0.52 % (19132)------------------------------
% 0.21/0.52 % (19132)------------------------------
% 0.21/0.52 % (19143)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)
% 1.30/0.52 % (19151)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)
% 1.30/0.53 % (19158)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)
% 1.30/0.53 % (19145)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)
% 1.30/0.53 % (19134)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)
% 1.30/0.53 % (19129)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 1.30/0.53 % (19141)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)
% 1.30/0.53 % (19135)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)
% 1.30/0.53 % (19140)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)
% 1.30/0.53 % (19144)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)
% 1.30/0.53 % (19137)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)
% 1.30/0.53 % (19136)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 1.30/0.54 % (19152)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)
% 1.30/0.54 % (19157)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)
% 1.30/0.54 % (19159)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)
% 1.30/0.54 % (19149)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)
% 1.30/0.54 % (19130)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)
% 1.30/0.54 % (19153)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)
% 1.48/0.54 % (19154)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)
% 1.48/0.54 % (19138)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)
% 1.48/0.54 % (19148)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)
% 1.48/0.54 % (19160)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)
% 1.48/0.55 % (19130)Instruction limit reached!
% 1.48/0.55 % (19130)------------------------------
% 1.48/0.55 % (19130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (19130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (19147)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)
% 1.48/0.55 % (19146)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)
% 1.48/0.55 % (19134)Instruction limit reached!
% 1.48/0.55 % (19134)------------------------------
% 1.48/0.55 % (19134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (19135)Instruction limit reached!
% 1.48/0.55 % (19135)------------------------------
% 1.48/0.55 % (19135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (19135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (19135)Termination reason: Unknown
% 1.48/0.55 % (19135)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (19135)Memory used [KB]: 5628
% 1.48/0.55 % (19135)Time elapsed: 0.131 s
% 1.48/0.55 % (19135)Instructions burned: 8 (million)
% 1.48/0.55 % (19135)------------------------------
% 1.48/0.55 % (19135)------------------------------
% 1.48/0.55 % (19155)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)
% 1.48/0.55 % (19130)Termination reason: Unknown
% 1.48/0.55 % (19130)Termination phase: Saturation
% 1.48/0.55
% 1.48/0.55 % (19130)Memory used [KB]: 5628
% 1.48/0.55 % (19130)Time elapsed: 0.139 s
% 1.48/0.55 % (19130)Instructions burned: 10 (million)
% 1.48/0.55 % (19130)------------------------------
% 1.48/0.55 % (19130)------------------------------
% 1.48/0.56 % (19129)First to succeed.
% 1.48/0.56 % (19150)Also succeeded, but the first one will report.
% 1.48/0.57 % (19129)Refutation found. Thanks to Tanya!
% 1.48/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.57 % (19129)------------------------------
% 1.48/0.57 % (19129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (19129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (19129)Termination reason: Refutation
% 1.48/0.57
% 1.48/0.57 % (19129)Memory used [KB]: 5884
% 1.48/0.57 % (19129)Time elapsed: 0.160 s
% 1.48/0.57 % (19129)Instructions burned: 21 (million)
% 1.48/0.57 % (19129)------------------------------
% 1.48/0.57 % (19129)------------------------------
% 1.48/0.57 % (19126)Success in time 0.208 s
%------------------------------------------------------------------------------