TSTP Solution File: KLE114+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE114+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Mon May 20 23:14:16 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   50 (  49 unt;   0 def)
%            Number of atoms       :   51 (  50 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  19   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   12 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (  38   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(trivial_inequality_removal,[],[f124]) ).

fof(f124,plain,
    one != one,
    inference(superposition,[],[f122,f101]) ).

fof(f101,plain,
    one = antidomain(zero),
    inference(superposition,[],[f96,f50]) ).

fof(f50,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(f96,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f61,f81]) ).

fof(f81,plain,
    zero = antidomain(one),
    inference(superposition,[],[f59,f53]) ).

fof(f53,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f59,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,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(f61,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f122,plain,
    one != antidomain(zero),
    inference(forward_demodulation,[],[f121,f81]) ).

fof(f121,plain,
    one != antidomain(antidomain(one)),
    inference(forward_demodulation,[],[f120,f101]) ).

fof(f120,plain,
    one != antidomain(antidomain(antidomain(zero))),
    inference(forward_demodulation,[],[f119,f81]) ).

fof(f119,plain,
    one != antidomain(antidomain(antidomain(antidomain(one)))),
    inference(forward_demodulation,[],[f118,f101]) ).

fof(f118,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(zero))))),
    inference(forward_demodulation,[],[f117,f57]) ).

fof(f57,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f117,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,zero)))))),
    inference(forward_demodulation,[],[f116,f81]) ).

fof(f116,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(one))))))),
    inference(forward_demodulation,[],[f115,f101]) ).

fof(f115,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero)))))))),
    inference(forward_demodulation,[],[f112,f81]) ).

fof(f112,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(one))))))))),
    inference(superposition,[],[f83,f101]) ).

fof(f83,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))),
    inference(superposition,[],[f80,f81]) ).

fof(f80,plain,
    one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(one))))))))))),
    inference(definition_unfolding,[],[f73,f79]) ).

fof(f79,plain,
    ! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
    inference(definition_unfolding,[],[f71,f74,f78,f74]) ).

fof(f78,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f69,f62,f62]) ).

fof(f62,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f69,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).

fof(f74,plain,
    ! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
    inference(definition_unfolding,[],[f67,f62]) ).

fof(f67,plain,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3] : c(X3) = antidomain(domain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).

fof(f71,plain,
    ! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_box) ).

fof(f73,plain,
    one != forward_box(sK0,one),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    one != forward_box(sK0,one),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0] : one != forward_box(X0,one)
   => one != forward_box(sK0,one) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0] : one != forward_box(X0,one),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ~ ! [X0] : one = forward_box(X0,one),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X3] : one = forward_box(X3,one),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X3] : one = forward_box(X3,one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE114+1 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 09:51:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.75  % (3216)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.75  % (3216)Refutation not found, incomplete strategy% (3216)------------------------------
% 0.58/0.75  % (3216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3216)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3216)Memory used [KB]: 1011
% 0.58/0.75  % (3216)Time elapsed: 0.002 s
% 0.58/0.75  % (3216)Instructions burned: 2 (million)
% 0.58/0.75  % (3209)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.58/0.75  % (3216)------------------------------
% 0.58/0.75  % (3216)------------------------------
% 0.58/0.75  % (3211)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75  % (3210)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.58/0.75  % (3213)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.58/0.75  % (3214)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.75  % (3212)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75  % (3215)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.58/0.75  % (3212)Refutation not found, incomplete strategy% (3212)------------------------------
% 0.58/0.75  % (3212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3209)Refutation not found, incomplete strategy% (3209)------------------------------
% 0.58/0.75  % (3209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3209)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3209)Memory used [KB]: 1023
% 0.58/0.75  % (3209)Time elapsed: 0.003 s
% 0.58/0.75  % (3209)Instructions burned: 3 (million)
% 0.58/0.75  % (3212)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3212)Memory used [KB]: 1007
% 0.58/0.75  % (3212)Time elapsed: 0.003 s
% 0.58/0.75  % (3212)Instructions burned: 2 (million)
% 0.58/0.75  % (3214)Refutation not found, incomplete strategy% (3214)------------------------------
% 0.58/0.75  % (3214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3213)Refutation not found, incomplete strategy% (3213)------------------------------
% 0.58/0.75  % (3213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3213)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3213)Memory used [KB]: 1093
% 0.58/0.75  % (3213)Time elapsed: 0.003 s
% 0.58/0.75  % (3213)Instructions burned: 3 (million)
% 0.58/0.75  % (3214)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3214)Memory used [KB]: 1012
% 0.58/0.75  % (3214)Time elapsed: 0.003 s
% 0.58/0.75  % (3214)Instructions burned: 3 (million)
% 0.58/0.75  % (3209)------------------------------
% 0.58/0.75  % (3209)------------------------------
% 0.58/0.75  % (3212)------------------------------
% 0.58/0.75  % (3212)------------------------------
% 0.58/0.75  % (3213)------------------------------
% 0.58/0.75  % (3213)------------------------------
% 0.58/0.75  % (3214)------------------------------
% 0.58/0.75  % (3214)------------------------------
% 0.58/0.75  % (3215)Refutation not found, incomplete strategy% (3215)------------------------------
% 0.58/0.75  % (3215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3215)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3215)Memory used [KB]: 1076
% 0.58/0.75  % (3215)Time elapsed: 0.003 s
% 0.58/0.75  % (3215)Instructions burned: 3 (million)
% 0.58/0.75  % (3215)------------------------------
% 0.58/0.75  % (3215)------------------------------
% 0.58/0.75  % (3217)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.58/0.75  % (3210)First to succeed.
% 0.58/0.75  % (3217)Refutation not found, incomplete strategy% (3217)------------------------------
% 0.58/0.75  % (3217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3217)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3217)Memory used [KB]: 1009
% 0.58/0.75  % (3217)Time elapsed: 0.002 s
% 0.58/0.75  % (3217)Instructions burned: 2 (million)
% 0.58/0.75  % (3217)------------------------------
% 0.58/0.75  % (3217)------------------------------
% 0.58/0.75  % (3210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3208"
% 0.58/0.76  % (3210)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for theBenchmark
% 0.58/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76  % (3210)------------------------------
% 0.58/0.76  % (3210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (3210)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (3210)Memory used [KB]: 1100
% 0.58/0.76  % (3210)Time elapsed: 0.005 s
% 0.58/0.76  % (3210)Instructions burned: 6 (million)
% 0.58/0.76  % (3208)Success in time 0.377 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------