TSTP Solution File: RNG019-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG019-6 : 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 : n001.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 1.65s 0.58s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f661,plain,
$false,
inference(subsumption_resolution,[],[f660,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f660,plain,
add(additive_inverse(multiply(x,multiply(y,add(u,v)))),multiply(multiply(x,y),add(u,v))) != add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))),
inference(backward_demodulation,[],[f314,f651]) ).
fof(f651,plain,
! [X16,X14,X17,X15] : add(multiply(X14,X15),add(multiply(X14,X16),X17)) = add(X17,multiply(X14,add(X15,X16))),
inference(superposition,[],[f33,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(f33,plain,
! [X8,X6,X7] : add(X8,add(X6,X7)) = add(X6,add(X7,X8)),
inference(superposition,[],[f11,f10]) ).
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(f314,plain,
add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))) != add(multiply(multiply(x,y),u),add(multiply(multiply(x,y),v),additive_inverse(multiply(x,multiply(y,add(u,v)))))),
inference(forward_demodulation,[],[f313,f8]) ).
fof(f313,plain,
add(multiply(multiply(x,y),u),add(multiply(multiply(x,y),v),additive_inverse(multiply(x,add(multiply(y,u),multiply(y,v)))))) != add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))),
inference(forward_demodulation,[],[f309,f8]) ).
fof(f309,plain,
add(multiply(multiply(x,y),u),add(multiply(multiply(x,y),v),additive_inverse(add(multiply(x,multiply(y,u)),multiply(x,multiply(y,v)))))) != add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))),
inference(backward_demodulation,[],[f38,f301]) ).
fof(f301,plain,
! [X18,X17] : add(additive_inverse(X18),additive_inverse(X17)) = additive_inverse(add(X17,X18)),
inference(superposition,[],[f119,f248]) ).
fof(f248,plain,
! [X21,X22] : add(additive_inverse(add(X21,X22)),X22) = additive_inverse(X21),
inference(superposition,[],[f119,f113]) ).
fof(f113,plain,
! [X4,X5] : add(additive_inverse(X4),add(X4,X5)) = X5,
inference(forward_demodulation,[],[f107,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f107,plain,
! [X4,X5] : add(additive_inverse(X4),add(X4,X5)) = add(additive_identity,X5),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f119,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(superposition,[],[f113,f10]) ).
fof(f38,plain,
add(multiply(multiply(x,y),u),add(multiply(multiply(x,y),v),add(additive_inverse(multiply(x,multiply(y,v))),additive_inverse(multiply(x,multiply(y,u)))))) != add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))),
inference(backward_demodulation,[],[f18,f33]) ).
fof(f18,plain,
add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))) != add(multiply(multiply(x,y),u),add(additive_inverse(multiply(x,multiply(y,u))),add(multiply(multiply(x,y),v),additive_inverse(multiply(x,multiply(y,v)))))),
inference(forward_demodulation,[],[f17,f11]) ).
fof(f17,plain,
add(multiply(multiply(x,y),add(u,v)),additive_inverse(multiply(x,multiply(y,add(u,v))))) != add(add(multiply(multiply(x,y),u),additive_inverse(multiply(x,multiply(y,u)))),add(multiply(multiply(x,y),v),additive_inverse(multiply(x,multiply(y,v))))),
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,y,add(u,v)) != add(associator(x,y,u),associator(x,y,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG019-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 12:05:46 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.50 % (8936)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)
% 0.20/0.50 % (8932)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)
% 0.20/0.50 % (8947)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)
% 0.20/0.51 % (8937)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (8945)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)
% 0.20/0.51 % (8949)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)
% 0.20/0.51 % (8948)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)
% 0.20/0.51 % (8931)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)
% 0.20/0.51 % (8939)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)
% 0.20/0.52 % (8934)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)
% 0.20/0.52 % (8956)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)
% 0.20/0.52 % (8955)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)
% 0.20/0.52 % (8954)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)
% 0.20/0.52 % (8953)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)
% 0.20/0.52 % (8952)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)
% 0.20/0.52 % (8930)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.52 % (8933)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)
% 0.20/0.53 % (8951)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)
% 0.20/0.53 % (8959)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)
% 0.20/0.53 % (8936)Instruction limit reached!
% 0.20/0.53 % (8936)------------------------------
% 0.20/0.53 % (8936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8936)Termination reason: Unknown
% 0.20/0.53 % (8936)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (8936)Memory used [KB]: 5628
% 0.20/0.53 % (8936)Time elapsed: 0.139 s
% 0.20/0.53 % (8936)Instructions burned: 7 (million)
% 0.20/0.53 % (8936)------------------------------
% 0.20/0.53 % (8936)------------------------------
% 0.20/0.53 % (8933)Instruction limit reached!
% 0.20/0.53 % (8933)------------------------------
% 0.20/0.53 % (8933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8933)Termination reason: Unknown
% 0.20/0.53 % (8933)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (8933)Memory used [KB]: 5500
% 0.20/0.53 % (8933)Time elapsed: 0.136 s
% 0.20/0.53 % (8933)Instructions burned: 7 (million)
% 0.20/0.53 % (8933)------------------------------
% 0.20/0.53 % (8933)------------------------------
% 0.20/0.53 % (8943)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)
% 0.20/0.53 % (8944)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)
% 0.20/0.53 % (8946)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)
% 0.20/0.53 % (8950)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.53 % (8931)Instruction limit reached!
% 0.20/0.53 % (8931)------------------------------
% 0.20/0.53 % (8931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8931)Termination reason: Unknown
% 0.20/0.53 % (8931)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (8931)Memory used [KB]: 5628
% 0.20/0.53 % (8931)Time elapsed: 0.133 s
% 0.20/0.53 % (8931)Instructions burned: 10 (million)
% 0.20/0.53 % (8931)------------------------------
% 0.20/0.53 % (8931)------------------------------
% 1.51/0.53 % (8940)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)
% 1.51/0.53 % (8938)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)
% 1.51/0.54 % (8935)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)
% 1.51/0.54 % (8942)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)
% 1.51/0.54 % (8957)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)
% 1.51/0.54 % (8941)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)
% 1.51/0.54 % (8958)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)
% 1.65/0.55 % (8932)Instruction limit reached!
% 1.65/0.55 % (8932)------------------------------
% 1.65/0.55 % (8932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.55 % (8932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.55 % (8932)Termination reason: Unknown
% 1.65/0.55 % (8932)Termination phase: Saturation
% 1.65/0.55
% 1.65/0.55 % (8932)Memory used [KB]: 6652
% 1.65/0.55 % (8932)Time elapsed: 0.153 s
% 1.65/0.55 % (8932)Instructions burned: 38 (million)
% 1.65/0.55 % (8932)------------------------------
% 1.65/0.55 % (8932)------------------------------
% 1.65/0.56 % (8948)First to succeed.
% 1.65/0.57 % (8935)Instruction limit reached!
% 1.65/0.57 % (8935)------------------------------
% 1.65/0.57 % (8935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (8935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (8935)Termination reason: Unknown
% 1.65/0.57 % (8935)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (8935)Memory used [KB]: 5756
% 1.65/0.57 % (8935)Time elapsed: 0.146 s
% 1.65/0.57 % (8935)Instructions burned: 20 (million)
% 1.65/0.57 % (8935)------------------------------
% 1.65/0.57 % (8935)------------------------------
% 1.65/0.57 % (8940)Instruction limit reached!
% 1.65/0.57 % (8940)------------------------------
% 1.65/0.57 % (8940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (8940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (8940)Termination reason: Unknown
% 1.65/0.58 % (8948)Refutation found. Thanks to Tanya!
% 1.65/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58 % (8948)------------------------------
% 1.65/0.58 % (8948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (8948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (8948)Termination reason: Refutation
% 1.65/0.58
% 1.65/0.58 % (8948)Memory used [KB]: 10490
% 1.65/0.58 % (8948)Time elapsed: 0.156 s
% 1.65/0.58 % (8948)Instructions burned: 31 (million)
% 1.65/0.58 % (8948)------------------------------
% 1.65/0.58 % (8948)------------------------------
% 1.65/0.58 % (8929)Success in time 0.237 s
%------------------------------------------------------------------------------