TSTP Solution File: KLE119+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 17:28:15 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 56 ( 55 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 14 con; 0-2 aty)
% Number of variables : 43 ( 39 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(subsumption_resolution,[],[f178,f103]) ).
fof(f103,plain,
sF10 != sF11,
inference(definition_folding,[],[f92,f101,f100,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93]) ).
fof(f93,plain,
sF2 = antidomain(sK1),
introduced(function_definition,[]) ).
fof(f94,plain,
sF3 = antidomain(sF2),
introduced(function_definition,[]) ).
fof(f95,plain,
coantidomain(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f96,plain,
coantidomain(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f97,plain,
sF6 = multiplication(sF5,zero),
introduced(function_definition,[]) ).
fof(f98,plain,
sF7 = coantidomain(sF6),
introduced(function_definition,[]) ).
fof(f99,plain,
sF8 = coantidomain(sF7),
introduced(function_definition,[]) ).
fof(f102,plain,
sF11 = addition(sF8,sF10),
introduced(function_definition,[]) ).
fof(f100,plain,
antidomain(sK0) = sF9,
introduced(function_definition,[]) ).
fof(f101,plain,
antidomain(sF9) = sF10,
introduced(function_definition,[]) ).
fof(f92,plain,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),zero))),antidomain(antidomain(sK0))) != antidomain(antidomain(sK0)),
inference(definition_unfolding,[],[f83,f87,f64,f64,f64]) ).
fof(f64,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f87,plain,
! [X0,X1] : coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = backward_diamond(X1,X0),
inference(definition_unfolding,[],[f69,f84,f84]) ).
fof(f84,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f69,plain,
! [X0,X1] : codomain(multiplication(codomain(X0),X1)) = backward_diamond(X1,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] : codomain(multiplication(codomain(X0),X1)) = backward_diamond(X1,X0),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] : codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f83,plain,
addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f48,f57]) ).
fof(f57,plain,
( ? [X0,X1] : domain(X0) != addition(backward_diamond(zero,domain(X1)),domain(X0))
=> addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1] : domain(X0) != addition(backward_diamond(zero,domain(X1)),domain(X0)),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X0,X1] : domain(X0) = addition(backward_diamond(zero,domain(X1)),domain(X0)),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X4,X3] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X4,X3] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f178,plain,
sF10 = sF11,
inference(forward_demodulation,[],[f177,f120]) ).
fof(f120,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f68,f60]) ).
fof(f60,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f68,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f177,plain,
addition(zero,sF10) = sF11,
inference(backward_demodulation,[],[f102,f175]) ).
fof(f175,plain,
zero = sF8,
inference(forward_demodulation,[],[f174,f110]) ).
fof(f110,plain,
zero = coantidomain(one),
inference(superposition,[],[f73,f63]) ).
fof(f63,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f73,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f174,plain,
sF8 = coantidomain(one),
inference(backward_demodulation,[],[f99,f171]) ).
fof(f171,plain,
one = sF7,
inference(forward_demodulation,[],[f170,f105]) ).
fof(f105,plain,
sF7 = coantidomain(zero),
inference(backward_demodulation,[],[f98,f104]) ).
fof(f104,plain,
zero = sF6,
inference(forward_demodulation,[],[f97,f75]) ).
fof(f75,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f170,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f160,f60]) ).
fof(f160,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f71,f110]) ).
fof(f71,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:40:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (18670)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (18695)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (18666)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (18693)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (18671)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (18690)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53 % (18669)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (18678)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (18687)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (18669)Refutation not found, incomplete strategy% (18669)------------------------------
% 0.20/0.54 % (18669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18669)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (18669)Memory used [KB]: 6012
% 0.20/0.54 % (18669)Time elapsed: 0.131 s
% 0.20/0.54 % (18669)Instructions burned: 2 (million)
% 0.20/0.54 % (18669)------------------------------
% 0.20/0.54 % (18669)------------------------------
% 0.20/0.54 % (18687)Refutation not found, incomplete strategy% (18687)------------------------------
% 0.20/0.54 % (18687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18687)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (18687)Memory used [KB]: 6012
% 0.20/0.54 % (18687)Time elapsed: 0.135 s
% 0.20/0.54 % (18687)Instructions burned: 4 (million)
% 0.20/0.54 % (18687)------------------------------
% 0.20/0.54 % (18687)------------------------------
% 0.20/0.54 % (18666)First to succeed.
% 0.20/0.54 % (18671)Refutation not found, incomplete strategy% (18671)------------------------------
% 0.20/0.54 % (18671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18671)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (18671)Memory used [KB]: 1407
% 0.20/0.54 % (18671)Time elapsed: 0.132 s
% 0.20/0.54 % (18671)Instructions burned: 3 (million)
% 0.20/0.54 % (18671)------------------------------
% 0.20/0.54 % (18671)------------------------------
% 0.20/0.54 % (18672)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (18666)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (18666)------------------------------
% 0.20/0.54 % (18666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18666)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (18666)Memory used [KB]: 6012
% 0.20/0.54 % (18666)Time elapsed: 0.132 s
% 0.20/0.54 % (18666)Instructions burned: 5 (million)
% 0.20/0.54 % (18666)------------------------------
% 0.20/0.54 % (18666)------------------------------
% 0.20/0.54 % (18662)Success in time 0.183 s
%------------------------------------------------------------------------------