TSTP Solution File: KLE072+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE072+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 : n024.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 17:27:59 EDT 2022
% Result : Theorem 0.11s 0.39s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 30 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 16 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 41 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(trivial_inequality_removal,[],[f62]) ).
fof(f62,plain,
addition(domain(multiplication(sK0,sK1)),domain(multiplication(sK2,sK1))) != addition(domain(multiplication(sK0,sK1)),domain(multiplication(sK2,sK1))),
inference(forward_demodulation,[],[f61,f54]) ).
fof(f54,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f61,plain,
addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,sK1))) != addition(domain(multiplication(sK0,sK1)),domain(multiplication(sK2,sK1))),
inference(forward_demodulation,[],[f60,f54]) ).
fof(f60,plain,
addition(domain(multiplication(sK0,sK1)),domain(multiplication(sK2,sK1))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))),
inference(superposition,[],[f59,f52]) ).
fof(f52,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X3] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f59,plain,
addition(domain(multiplication(sK0,sK1)),domain(multiplication(sK2,sK1))) != domain(addition(multiplication(sK0,domain(sK1)),multiplication(sK2,domain(sK1)))),
inference(forward_demodulation,[],[f58,f54]) ).
fof(f58,plain,
addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,sK1))) != domain(addition(multiplication(sK0,domain(sK1)),multiplication(sK2,domain(sK1)))),
inference(forward_demodulation,[],[f57,f51]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f57,plain,
addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,sK1))) != domain(addition(multiplication(sK2,domain(sK1)),multiplication(sK0,domain(sK1)))),
inference(forward_demodulation,[],[f56,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X1,X2),X0) = addition(multiplication(X1,X0),multiplication(X2,X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] : multiplication(addition(X1,X2),X0) = addition(multiplication(X1,X0),multiplication(X2,X0)),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X2,X1] : addition(multiplication(X2,X0),multiplication(X1,X0)) = multiplication(addition(X2,X1),X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X1,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f56,plain,
addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,sK1))) != domain(multiplication(addition(sK2,sK0),domain(sK1))),
inference(forward_demodulation,[],[f55,f54]) ).
fof(f55,plain,
domain(multiplication(addition(sK2,sK0),domain(sK1))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))),
inference(forward_demodulation,[],[f39,f51]) ).
fof(f39,plain,
domain(multiplication(addition(sK2,sK0),domain(sK1))) != addition(domain(multiplication(sK2,domain(sK1))),domain(multiplication(sK0,domain(sK1)))),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
domain(multiplication(addition(sK2,sK0),domain(sK1))) != addition(domain(multiplication(sK2,domain(sK1))),domain(multiplication(sK0,domain(sK1)))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f32,f33]) ).
fof(f33,plain,
( ? [X0,X1,X2] : domain(multiplication(addition(X2,X0),domain(X1))) != addition(domain(multiplication(X2,domain(X1))),domain(multiplication(X0,domain(X1))))
=> domain(multiplication(addition(sK2,sK0),domain(sK1))) != addition(domain(multiplication(sK2,domain(sK1))),domain(multiplication(sK0,domain(sK1)))) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0,X1,X2] : domain(multiplication(addition(X2,X0),domain(X1))) != addition(domain(multiplication(X2,domain(X1))),domain(multiplication(X0,domain(X1)))),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X0,X2] : addition(domain(multiplication(X2,domain(X0))),domain(multiplication(X1,domain(X0)))) != domain(multiplication(addition(X2,X1),domain(X0))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X2,X0,X1] : addition(domain(multiplication(X2,domain(X0))),domain(multiplication(X1,domain(X0)))) = domain(multiplication(addition(X2,X1),domain(X0))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X4,X3] : domain(multiplication(addition(X3,X4),domain(X5))) = addition(domain(multiplication(X3,domain(X5))),domain(multiplication(X4,domain(X5)))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X4,X3] : domain(multiplication(addition(X3,X4),domain(X5))) = addition(domain(multiplication(X3,domain(X5))),domain(multiplication(X4,domain(X5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.27 % Computer : n024.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Aug 30 00:27:19 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.38 % (2144)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.38 % (2142)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.11/0.38 % (2155)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)
% 0.11/0.39 % (2155)First to succeed.
% 0.11/0.39 % (2144)Refutation not found, incomplete strategy% (2144)------------------------------
% 0.11/0.39 % (2144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.39 % (2144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.39 % (2144)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.39
% 0.11/0.39 % (2144)Memory used [KB]: 1407
% 0.11/0.39 % (2144)Time elapsed: 0.069 s
% 0.11/0.39 % (2144)Instructions burned: 1 (million)
% 0.11/0.39 % (2144)------------------------------
% 0.11/0.39 % (2144)------------------------------
% 0.11/0.39 % (2141)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.11/0.39 % (2146)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)
% 0.11/0.39 % (2155)Refutation found. Thanks to Tanya!
% 0.11/0.39 % SZS status Theorem for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.39 % (2155)------------------------------
% 0.11/0.39 % (2155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.39 % (2155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.39 % (2155)Termination reason: Refutation
% 0.11/0.39
% 0.11/0.39 % (2155)Memory used [KB]: 1407
% 0.11/0.39 % (2155)Time elapsed: 0.039 s
% 0.11/0.39 % (2155)Instructions burned: 3 (million)
% 0.11/0.39 % (2155)------------------------------
% 0.11/0.39 % (2155)------------------------------
% 0.11/0.39 % (2131)Success in time 0.114 s
%------------------------------------------------------------------------------