TSTP Solution File: KLE070+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Fri Sep 1 17:09:14 EDT 2023
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 29 unt; 0 def)
% Number of atoms : 43 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 5 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 61 (; 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1853,plain,
$false,
inference(trivial_inequality_removal,[],[f1849]) ).
fof(f1849,plain,
domain(sK0) != domain(sK0),
inference(superposition,[],[f30,f1588]) ).
fof(f1588,plain,
! [X4,X5] : addition(X4,multiplication(X4,domain(X5))) = X4,
inference(superposition,[],[f1519,f40]) ).
fof(f40,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/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',additive_commutativity) ).
fof(f1519,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),X0) = X0,
inference(resolution,[],[f1460,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',order) ).
fof(f1460,plain,
! [X31,X30] : leq(multiplication(X31,domain(X30)),X31),
inference(forward_demodulation,[],[f1451,f35]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',multiplicative_right_identity) ).
fof(f1451,plain,
! [X31,X30] : leq(multiplication(X31,domain(X30)),multiplication(X31,one)),
inference(superposition,[],[f1140,f38]) ).
fof(f38,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',domain3) ).
fof(f1140,plain,
! [X36,X34,X35] : leq(multiplication(X34,X35),multiplication(X34,addition(X35,X36))),
inference(superposition,[],[f642,f47]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',right_distributivity) ).
fof(f642,plain,
! [X6,X7] : leq(X6,addition(X6,X7)),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f635,plain,
! [X6,X7] :
( addition(X6,X7) != addition(X6,X7)
| leq(X6,addition(X6,X7)) ),
inference(superposition,[],[f44,f588]) ).
fof(f588,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f45,f37]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',additive_idempotence) ).
fof(f45,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',additive_associativity) ).
fof(f44,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f30,plain,
domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1)))
=> domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(X0) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
file('/export/starexec/sandbox2/tmp/tmp.k7jWs9Tb8N/Vampire---4.8_11401',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 18:04:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.42 % (11584)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (11593)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (11594)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (11596)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (11595)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (11597)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.43 % (11599)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.43 % (11598)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.45 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.48 TRYING [1]
% 0.21/0.48 % (11598)First to succeed.
% 0.21/0.48 TRYING [2]
% 0.21/0.48 % (11598)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (11598)------------------------------
% 0.21/0.48 % (11598)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (11598)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (11598)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (11598)Memory used [KB]: 2174
% 0.21/0.48 % (11598)Time elapsed: 0.053 s
% 0.21/0.48 % (11598)------------------------------
% 0.21/0.48 % (11598)------------------------------
% 0.21/0.48 % (11584)Success in time 0.116 s
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------