TSTP Solution File: RNG020-6 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG020-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : n011.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 18:14:23 EDT 2022
% Result : Unsatisfiable 1.45s 0.54s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(trivial_inequality_removal,[],[f355]) ).
fof(f355,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))))),
inference(superposition,[],[f309,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f309,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(additive_inverse(multiply(x,multiply(v,y))),additive_inverse(multiply(x,multiply(u,y)))))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))))),
inference(backward_demodulation,[],[f63,f306]) ).
fof(f306,plain,
! [X14,X15] : add(additive_inverse(X15),additive_inverse(X14)) = additive_inverse(add(X14,X15)),
inference(superposition,[],[f110,f257]) ).
fof(f257,plain,
! [X16,X15] : add(additive_inverse(add(X15,X16)),X16) = additive_inverse(X15),
inference(superposition,[],[f110,f66]) ).
fof(f66,plain,
! [X16,X17] : add(additive_inverse(X16),add(X16,X17)) = X17,
inference(forward_demodulation,[],[f52,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f52,plain,
! [X16,X17] : add(additive_identity,X17) = add(additive_inverse(X16),add(X16,X17)),
inference(superposition,[],[f11,f25]) ).
fof(f25,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(superposition,[],[f6,f7]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f110,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(superposition,[],[f66,f10]) ).
fof(f63,plain,
add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y)))))),
inference(backward_demodulation,[],[f23,f62]) ).
fof(f62,plain,
! [X6,X4,X5] : add(X4,add(X5,X6)) = add(X5,add(X4,X6)),
inference(forward_demodulation,[],[f48,f11]) ).
fof(f48,plain,
! [X6,X4,X5] : add(add(X5,X4),X6) = add(X4,add(X5,X6)),
inference(superposition,[],[f11,f10]) ).
fof(f23,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(multiply(multiply(x,u),y),add(multiply(multiply(x,v),y),additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y)))))),
inference(forward_demodulation,[],[f22,f11]) ).
fof(f22,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)),additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y))))),
inference(forward_demodulation,[],[f21,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f21,plain,
add(multiply(add(multiply(x,u),multiply(x,v)),y),additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y))))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))),
inference(forward_demodulation,[],[f20,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f20,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(add(multiply(x,multiply(u,y)),multiply(x,multiply(v,y))))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))),
inference(backward_demodulation,[],[f19,f8]) ).
fof(f19,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,add(multiply(u,y),multiply(v,y))))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))),
inference(backward_demodulation,[],[f18,f9]) ).
fof(f18,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))),
inference(forward_demodulation,[],[f17,f11]) ).
fof(f17,plain,
add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y))))) != add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))),
inference(definition_unfolding,[],[f16,f14,f14,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f16,axiom,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG020-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 11:41:40 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.19/0.49 % (30009)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)
% 0.19/0.49 % (29985)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)
% 0.19/0.49 % (29984)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)
% 0.19/0.50 % (30010)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)
% 0.19/0.50 % (29983)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)
% 0.19/0.50 % (29982)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)
% 0.19/0.50 % (29983)Instruction limit reached!
% 0.19/0.50 % (29983)------------------------------
% 0.19/0.50 % (29983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29983)Termination reason: Unknown
% 0.19/0.50 % (29983)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (29983)Memory used [KB]: 5500
% 0.19/0.50 % (29983)Time elapsed: 0.114 s
% 0.19/0.50 % (29983)Instructions burned: 6 (million)
% 0.19/0.50 % (29983)------------------------------
% 0.19/0.50 % (29983)------------------------------
% 0.19/0.50 % (29992)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)
% 0.19/0.50 % (29990)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)
% 0.19/0.50 % (30000)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)
% 0.19/0.50 % (30004)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)
% 0.19/0.51 % (29991)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)
% 0.19/0.51 % (29986)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)
% 0.19/0.51 % (30002)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)
% 0.19/0.51 % (29995)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)
% 0.19/0.51 % (30003)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)
% 0.19/0.51 % (29993)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)
% 0.19/0.51 % (29999)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)
% 0.19/0.51 % (29989)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)
% 0.19/0.52 % (30001)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.52 % (29986)Instruction limit reached!
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29986)Termination reason: Unknown
% 0.19/0.52 % (29986)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (29986)Memory used [KB]: 5500
% 0.19/0.52 % (29986)Time elapsed: 0.127 s
% 0.19/0.52 % (29986)Instructions burned: 7 (million)
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29986)------------------------------
% 0.19/0.52 % (29985)Instruction limit reached!
% 0.19/0.52 % (29985)------------------------------
% 0.19/0.52 % (29985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29987)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (29994)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)
% 0.19/0.53 % (29988)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)
% 1.45/0.53 % (29981)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)
% 1.45/0.53 % (30005)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)
% 1.45/0.53 % (29991)First to succeed.
% 1.45/0.53 % (30007)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)
% 1.45/0.53 % (29980)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.45/0.53 % (29990)Instruction limit reached!
% 1.45/0.53 % (29990)------------------------------
% 1.45/0.53 % (29990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (29981)Instruction limit reached!
% 1.45/0.54 % (29981)------------------------------
% 1.45/0.54 % (29981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (29981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (29981)Termination reason: Unknown
% 1.45/0.54 % (29981)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (29981)Memory used [KB]: 5628
% 1.45/0.54 % (29981)Time elapsed: 0.139 s
% 1.45/0.54 % (29981)Instructions burned: 11 (million)
% 1.45/0.54 % (29981)------------------------------
% 1.45/0.54 % (29981)------------------------------
% 1.45/0.54 % (30006)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)
% 1.45/0.54 % (29991)Refutation found. Thanks to Tanya!
% 1.45/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54 % (29991)------------------------------
% 1.45/0.54 % (29991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (29991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (29991)Termination reason: Refutation
% 1.45/0.54
% 1.45/0.54 % (29991)Memory used [KB]: 5756
% 1.45/0.54 % (29991)Time elapsed: 0.137 s
% 1.45/0.54 % (29991)Instructions burned: 14 (million)
% 1.45/0.54 % (29991)------------------------------
% 1.45/0.54 % (29991)------------------------------
% 1.45/0.54 % (29976)Success in time 0.198 s
%------------------------------------------------------------------------------