TSTP Solution File: KLE072+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE072+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 : n006.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 : Thu Aug 31 05:36:41 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 19 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 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 : 33 (; 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(trivial_inequality_removal,[],[f49]) ).
fof(f49,plain,
domain(multiplication(addition(sK0,sK1),sK2)) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f48,f41]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/tmp/tmp.VNWksd4efh/Vampire---4.8_20644',domain2) ).
fof(f48,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(backward_demodulation,[],[f47,f45]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.VNWksd4efh/Vampire---4.8_20644',left_distributivity) ).
fof(f47,plain,
domain(addition(multiplication(sK0,domain(sK2)),multiplication(sK1,domain(sK2)))) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(backward_demodulation,[],[f46,f41]) ).
fof(f46,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != domain(addition(multiplication(sK0,domain(sK2)),multiplication(sK1,domain(sK2)))),
inference(backward_demodulation,[],[f29,f40]) ).
fof(f40,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.VNWksd4efh/Vampire---4.8_20644',domain5) ).
fof(f29,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) != addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2))))
=> domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) != addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4,X5] : 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,
! [X3,X4,X5] : domain(multiplication(addition(X3,X4),domain(X5))) = addition(domain(multiplication(X3,domain(X5))),domain(multiplication(X4,domain(X5)))),
file('/export/starexec/sandbox/tmp/tmp.VNWksd4efh/Vampire---4.8_20644',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 11:13:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.VNWksd4efh/Vampire---4.8_20644
% 0.15/0.36 % (20883)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (20895)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (20891)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (20892)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (20889)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (20891)First to succeed.
% 0.22/0.42 % (20888)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (20892)Refutation not found, incomplete strategy% (20892)------------------------------
% 0.22/0.42 % (20892)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (20892)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (20892)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (20892)Memory used [KB]: 895
% 0.22/0.42 % (20892)Time elapsed: 0.003 s
% 0.22/0.42 % (20892)------------------------------
% 0.22/0.42 % (20892)------------------------------
% 0.22/0.42 % (20890)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (20891)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (20891)------------------------------
% 0.22/0.42 % (20891)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (20891)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (20891)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (20891)Memory used [KB]: 895
% 0.22/0.42 % (20891)Time elapsed: 0.003 s
% 0.22/0.42 % (20891)------------------------------
% 0.22/0.42 % (20891)------------------------------
% 0.22/0.42 % (20883)Success in time 0.062 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------