TSTP Solution File: GRP609-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP609-1 : 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 : n023.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 16:16:40 EDT 2022
% Result : Unsatisfiable 2.37s 0.71s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1193,plain,
$false,
inference(equality_resolution,[],[f1096]) ).
fof(f1096,plain,
! [X81] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X81,inverse(X81))),
inference(superposition,[],[f4,f939]) ).
fof(f939,plain,
! [X62,X63] : double_divide(X63,inverse(X63)) = double_divide(X62,inverse(X62)),
inference(superposition,[],[f544,f761]) ).
fof(f761,plain,
! [X18,X19] : double_divide(X18,double_divide(X19,inverse(X19))) = inverse(X18),
inference(backward_demodulation,[],[f576,f733]) ).
fof(f733,plain,
! [X8,X7] : double_divide(X8,X7) = double_divide(X7,X8),
inference(superposition,[],[f682,f544]) ).
fof(f682,plain,
! [X90,X91] : double_divide(double_divide(X90,X91),X90) = X91,
inference(forward_demodulation,[],[f681,f542]) ).
fof(f542,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f480,f33]) ).
fof(f33,plain,
! [X3,X0,X1] : double_divide(inverse(double_divide(X3,X0)),double_divide(X3,inverse(double_divide(X0,X1)))) = X1,
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X2,X3)),double_divide(X0,X3))) = double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)),
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : inverse(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),double_divide(X0,X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f480,plain,
! [X0,X1] : inverse(double_divide(X1,double_divide(inverse(X0),X1))) = X0,
inference(superposition,[],[f433,f433]) ).
fof(f433,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(inverse(X0),X1)),X0)) = X1,
inference(superposition,[],[f383,f1]) ).
fof(f383,plain,
! [X8,X7] : inverse(double_divide(X8,double_divide(inverse(X7),X7))) = X8,
inference(superposition,[],[f275,f33]) ).
fof(f275,plain,
! [X2,X3,X0] : inverse(double_divide(X3,double_divide(inverse(double_divide(X2,X0)),double_divide(X2,X0)))) = X3,
inference(superposition,[],[f187,f9]) ).
fof(f187,plain,
! [X2,X3,X0] : inverse(double_divide(X3,inverse(double_divide(inverse(double_divide(X2,X0)),double_divide(X2,X0))))) = X3,
inference(superposition,[],[f111,f9]) ).
fof(f111,plain,
! [X2,X0,X1] : inverse(double_divide(X0,inverse(inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X2)))))) = X0,
inference(superposition,[],[f53,f9]) ).
fof(f53,plain,
! [X8,X6,X7] : inverse(double_divide(X6,inverse(double_divide(inverse(double_divide(X7,X8)),double_divide(X6,X8))))) = X7,
inference(superposition,[],[f6,f9]) ).
fof(f681,plain,
! [X90,X91] : double_divide(inverse(inverse(double_divide(X90,X91))),X90) = X91,
inference(forward_demodulation,[],[f668,f542]) ).
fof(f668,plain,
! [X90,X91] : inverse(inverse(double_divide(inverse(inverse(double_divide(X90,X91))),X90))) = X91,
inference(superposition,[],[f33,f576]) ).
fof(f576,plain,
! [X18,X19] : inverse(X18) = double_divide(X18,double_divide(inverse(X19),X19)),
inference(superposition,[],[f542,f383]) ).
fof(f544,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f480,f6]) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP609-1 : 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
% 0.13/0.34 % Computer : n023.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 22:55:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (6620)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)
% 0.19/0.53 % (6625)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)
% 0.19/0.54 % (6617)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)
% 0.19/0.56 % (6636)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)
% 0.19/0.56 % (6628)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)
% 0.19/0.56 % (6624)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)
% 0.19/0.57 % (6620)Instruction limit reached!
% 0.19/0.57 % (6620)------------------------------
% 0.19/0.57 % (6620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (6641)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)
% 0.19/0.58 % (6619)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)
% 0.19/0.58 % (6621)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)
% 0.19/0.59 % (6616)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)
% 0.19/0.59 % (6620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (6620)Termination reason: Unknown
% 0.19/0.59 % (6620)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (6620)Memory used [KB]: 5756
% 0.19/0.59 % (6620)Time elapsed: 0.144 s
% 0.19/0.59 % (6620)Instructions burned: 20 (million)
% 0.19/0.59 % (6620)------------------------------
% 0.19/0.59 % (6620)------------------------------
% 0.19/0.59 % (6621)Instruction limit reached!
% 0.19/0.59 % (6621)------------------------------
% 0.19/0.59 % (6621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (6626)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)
% 0.19/0.59 % (6627)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)
% 0.19/0.59 % (6622)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.59 % (6615)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.60 % (6630)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)
% 0.19/0.60 % (6637)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)
% 0.19/0.60 % (6640)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)
% 0.19/0.60 % (6621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (6621)Termination reason: Unknown
% 0.19/0.60 % (6621)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (6621)Memory used [KB]: 5628
% 0.19/0.60 % (6621)Time elapsed: 0.175 s
% 0.19/0.60 % (6621)Instructions burned: 8 (million)
% 0.19/0.60 % (6621)------------------------------
% 0.19/0.60 % (6621)------------------------------
% 0.19/0.60 % (6638)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)
% 0.19/0.60 % (6635)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.61 % (6644)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)
% 0.19/0.61 % (6618)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)
% 0.19/0.61 % (6616)Instruction limit reached!
% 0.19/0.61 % (6616)------------------------------
% 0.19/0.61 % (6616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (6618)Instruction limit reached!
% 0.19/0.62 % (6618)------------------------------
% 0.19/0.62 % (6618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (6643)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)
% 0.19/0.62 % (6629)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)
% 0.19/0.62 % (6631)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)
% 0.19/0.62 % (6632)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)
% 1.97/0.62 % (6623)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)
% 1.97/0.62 % (6642)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)
% 1.97/0.62 % (6618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62 % (6618)Termination reason: Unknown
% 1.97/0.62 % (6618)Termination phase: Saturation
% 1.97/0.62
% 1.97/0.62 % (6618)Memory used [KB]: 5500
% 1.97/0.62 % (6618)Time elapsed: 0.201 s
% 1.97/0.62 % (6618)Instructions burned: 6 (million)
% 1.97/0.62 % (6618)------------------------------
% 1.97/0.62 % (6618)------------------------------
% 1.97/0.63 % (6639)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)
% 1.97/0.63 % (6634)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)
% 1.97/0.63 % (6625)Instruction limit reached!
% 1.97/0.63 % (6625)------------------------------
% 1.97/0.63 % (6625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63 % (6625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (6625)Termination reason: Unknown
% 1.97/0.63 % (6625)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (6625)Memory used [KB]: 6396
% 1.97/0.63 % (6625)Time elapsed: 0.194 s
% 1.97/0.63 % (6625)Instructions burned: 37 (million)
% 1.97/0.63 % (6625)------------------------------
% 1.97/0.63 % (6625)------------------------------
% 1.97/0.63 % (6633)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)
% 1.97/0.63 % (6617)Instruction limit reached!
% 1.97/0.63 % (6617)------------------------------
% 1.97/0.63 % (6617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63 % (6617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (6617)Termination reason: Unknown
% 1.97/0.63 % (6617)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (6617)Memory used [KB]: 6396
% 1.97/0.63 % (6617)Time elapsed: 0.221 s
% 1.97/0.63 % (6617)Instructions burned: 37 (million)
% 1.97/0.63 % (6617)------------------------------
% 1.97/0.63 % (6617)------------------------------
% 1.97/0.63 % (6616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (6616)Termination reason: Unknown
% 1.97/0.63 % (6616)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (6616)Memory used [KB]: 5628
% 1.97/0.63 % (6616)Time elapsed: 0.194 s
% 1.97/0.63 % (6616)Instructions burned: 11 (million)
% 1.97/0.63 % (6616)------------------------------
% 1.97/0.63 % (6616)------------------------------
% 2.37/0.66 % (6624)Instruction limit reached!
% 2.37/0.66 % (6624)------------------------------
% 2.37/0.66 % (6624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.66 % (6624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.66 % (6624)Termination reason: Unknown
% 2.37/0.66 % (6624)Termination phase: Saturation
% 2.37/0.66
% 2.37/0.66 % (6624)Memory used [KB]: 6140
% 2.37/0.66 % (6624)Time elapsed: 0.254 s
% 2.37/0.66 % (6624)Instructions burned: 47 (million)
% 2.37/0.66 % (6624)------------------------------
% 2.37/0.66 % (6624)------------------------------
% 2.37/0.69 % (6628)First to succeed.
% 2.37/0.70 % (6622)Instruction limit reached!
% 2.37/0.70 % (6622)------------------------------
% 2.37/0.70 % (6622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.70 % (6622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.70 % (6622)Termination reason: Unknown
% 2.37/0.70 % (6622)Termination phase: Saturation
% 2.37/0.70
% 2.37/0.70 % (6622)Memory used [KB]: 6012
% 2.37/0.70 % (6622)Time elapsed: 0.239 s
% 2.37/0.70 % (6622)Instructions burned: 33 (million)
% 2.37/0.70 % (6622)------------------------------
% 2.37/0.70 % (6622)------------------------------
% 2.37/0.71 % (6628)Refutation found. Thanks to Tanya!
% 2.37/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.37/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.71 % (6628)------------------------------
% 2.37/0.71 % (6628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (6628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (6628)Termination reason: Refutation
% 2.37/0.71
% 2.37/0.71 % (6628)Memory used [KB]: 6652
% 2.37/0.71 % (6628)Time elapsed: 0.267 s
% 2.37/0.71 % (6628)Instructions burned: 75 (million)
% 2.37/0.71 % (6628)------------------------------
% 2.37/0.71 % (6628)------------------------------
% 2.37/0.71 % (6614)Success in time 0.347 s
%------------------------------------------------------------------------------