TSTP Solution File: KLE086+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE086+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 : n010.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 17:28:03 EDT 2022

% Result   : Theorem 1.76s 0.58s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(subsumption_resolution,[],[f80,f66]) ).

fof(f66,plain,
    zero = antidomain(one),
    inference(superposition,[],[f55,f45]) ).

fof(f45,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,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(f55,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(f80,plain,
    zero != antidomain(one),
    inference(backward_demodulation,[],[f62,f79]) ).

fof(f79,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f78,f77]) ).

fof(f77,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f42,f43]) ).

fof(f43,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/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f42,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(f78,plain,
    one = addition(zero,antidomain(zero)),
    inference(superposition,[],[f63,f66]) ).

fof(f63,plain,
    ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
    inference(backward_demodulation,[],[f48,f43]) ).

fof(f48,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,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(f62,plain,
    zero != antidomain(antidomain(zero)),
    inference(definition_unfolding,[],[f58,f54]) ).

fof(f54,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,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(f58,plain,
    zero != domain(zero),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    zero != domain(zero),
    inference(flattening,[],[f22]) ).

fof(f22,negated_conjecture,
    zero != domain(zero),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    zero = domain(zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE086+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 00:18:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  % (31939)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.55  % (31938)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  % (31939)Refutation not found, incomplete strategy% (31939)------------------------------
% 0.19/0.55  % (31939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31938)Refutation not found, incomplete strategy% (31938)------------------------------
% 0.19/0.55  % (31938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (31938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (31938)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (31938)Memory used [KB]: 5884
% 0.19/0.55  % (31938)Time elapsed: 0.132 s
% 0.19/0.55  % (31938)Instructions burned: 2 (million)
% 0.19/0.55  % (31938)------------------------------
% 0.19/0.55  % (31938)------------------------------
% 1.55/0.55  % (31955)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.55/0.56  % (31947)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.55/0.56  % (31939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (31939)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56  
% 1.55/0.56  % (31939)Memory used [KB]: 5884
% 1.55/0.56  % (31939)Time elapsed: 0.133 s
% 1.55/0.56  % (31939)Instructions burned: 2 (million)
% 1.55/0.56  % (31939)------------------------------
% 1.55/0.56  % (31939)------------------------------
% 1.55/0.56  % (31947)Refutation not found, incomplete strategy% (31947)------------------------------
% 1.55/0.56  % (31947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (31947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (31947)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56  
% 1.55/0.56  % (31947)Memory used [KB]: 6012
% 1.55/0.56  % (31947)Time elapsed: 0.147 s
% 1.55/0.56  % (31947)Instructions burned: 2 (million)
% 1.55/0.56  % (31947)------------------------------
% 1.55/0.56  % (31947)------------------------------
% 1.55/0.56  % (31954)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)
% 1.55/0.56  % (31946)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)
% 1.55/0.56  % (31955)Refutation not found, incomplete strategy% (31955)------------------------------
% 1.55/0.56  % (31955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (31955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (31955)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56  
% 1.55/0.56  % (31955)Memory used [KB]: 5884
% 1.55/0.56  % (31955)Time elapsed: 0.144 s
% 1.55/0.56  % (31955)Instructions burned: 3 (million)
% 1.55/0.56  % (31955)------------------------------
% 1.55/0.56  % (31955)------------------------------
% 1.76/0.58  % (31946)First to succeed.
% 1.76/0.58  % (31946)Refutation found. Thanks to Tanya!
% 1.76/0.58  % SZS status Theorem for theBenchmark
% 1.76/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58  % (31946)------------------------------
% 1.76/0.58  % (31946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (31946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (31946)Termination reason: Refutation
% 1.76/0.58  
% 1.76/0.58  % (31946)Memory used [KB]: 5884
% 1.76/0.58  % (31946)Time elapsed: 0.150 s
% 1.76/0.58  % (31946)Instructions burned: 3 (million)
% 1.76/0.58  % (31946)------------------------------
% 1.76/0.58  % (31946)------------------------------
% 1.76/0.58  % (31930)Success in time 0.226 s
%------------------------------------------------------------------------------