TSTP Solution File: KLE089+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE089+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 : n016.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 17:28:04 EDT 2022
% Result : Theorem 1.53s 0.58s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f162,f67]) ).
fof(f67,plain,
zero != multiplication(antidomain(antidomain(sK0)),sK1),
inference(definition_unfolding,[],[f65,f57]) ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f65,plain,
zero != multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( zero != multiplication(domain(sK0),sK1)
& antidomain(sK1) = addition(domain(sK0),antidomain(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1] :
( zero != multiplication(domain(X0),X1)
& addition(domain(X0),antidomain(X1)) = antidomain(X1) )
=> ( zero != multiplication(domain(sK0),sK1)
& antidomain(sK1) = addition(domain(sK0),antidomain(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1] :
( zero != multiplication(domain(X0),X1)
& addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X1,X0] :
( zero != multiplication(domain(X1),X0)
& antidomain(X0) = addition(domain(X1),antidomain(X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( antidomain(X0) = addition(domain(X1),antidomain(X0))
=> zero = multiplication(domain(X1),X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X4,X3] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X4,X3] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f162,plain,
zero = multiplication(antidomain(antidomain(sK0)),sK1),
inference(superposition,[],[f99,f61]) ).
fof(f61,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f99,plain,
zero = addition(multiplication(antidomain(antidomain(sK0)),sK1),zero),
inference(superposition,[],[f69,f50]) ).
fof(f50,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f69,plain,
! [X0] : addition(multiplication(antidomain(antidomain(sK0)),X0),multiplication(antidomain(sK1),X0)) = multiplication(antidomain(sK1),X0),
inference(superposition,[],[f60,f68]) ).
fof(f68,plain,
antidomain(sK1) = addition(antidomain(antidomain(sK0)),antidomain(sK1)),
inference(definition_unfolding,[],[f64,f57]) ).
fof(f64,plain,
antidomain(sK1) = addition(domain(sK0),antidomain(sK1)),
inference(cnf_transformation,[],[f45]) ).
fof(f60,plain,
! [X2,X0,X1] : multiplication(addition(X1,X0),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] : multiplication(addition(X1,X0),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] : multiplication(addition(X1,X2),X0) = addition(multiplication(X1,X0),multiplication(X2,X0)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE089+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n016.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 : Tue Aug 30 00:48:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (20270)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55 % (20269)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)
% 0.19/0.56 % (20286)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)
% 0.19/0.56 % (20278)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (20285)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.56 % (20278)Instruction limit reached!
% 0.19/0.56 % (20278)------------------------------
% 0.19/0.56 % (20278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (20277)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57 % (20277)Instruction limit reached!
% 0.19/0.57 % (20277)------------------------------
% 0.19/0.57 % (20277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (20286)First to succeed.
% 1.53/0.57 % (20277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (20277)Termination reason: Unknown
% 1.53/0.57 % (20277)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (20277)Memory used [KB]: 5884
% 1.53/0.57 % (20277)Time elapsed: 0.003 s
% 1.53/0.57 % (20277)Instructions burned: 3 (million)
% 1.53/0.57 % (20277)------------------------------
% 1.53/0.57 % (20277)------------------------------
% 1.53/0.58 % (20278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (20278)Termination reason: Unknown
% 1.53/0.58 % (20278)Termination phase: Saturation
% 1.53/0.58
% 1.53/0.58 % (20278)Memory used [KB]: 6012
% 1.53/0.58 % (20278)Time elapsed: 0.142 s
% 1.53/0.58 % (20278)Instructions burned: 8 (million)
% 1.53/0.58 % (20278)------------------------------
% 1.53/0.58 % (20278)------------------------------
% 1.53/0.58 % (20286)Refutation found. Thanks to Tanya!
% 1.53/0.58 % SZS status Theorem for theBenchmark
% 1.53/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.58 % (20286)------------------------------
% 1.53/0.58 % (20286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (20286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (20286)Termination reason: Refutation
% 1.53/0.58
% 1.53/0.58 % (20286)Memory used [KB]: 1535
% 1.53/0.58 % (20286)Time elapsed: 0.141 s
% 1.53/0.58 % (20286)Instructions burned: 7 (million)
% 1.53/0.58 % (20286)------------------------------
% 1.53/0.58 % (20286)------------------------------
% 1.53/0.58 % (20262)Success in time 0.227 s
%------------------------------------------------------------------------------