TSTP Solution File: KLE054+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE054+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 : n026.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 05:36:37 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 44 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 66 (; 62 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1218,plain,
$false,
inference(trivial_inequality_removal,[],[f1217]) ).
fof(f1217,plain,
domain(sK0) != domain(sK0),
inference(forward_demodulation,[],[f1216,f215]) ).
fof(f215,plain,
! [X8,X7] : domain(X8) = domain(multiplication(X8,addition(X7,one))),
inference(forward_demodulation,[],[f214,f34]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364',multiplicative_right_identity) ).
fof(f214,plain,
! [X8,X7] : domain(multiplication(X8,addition(X7,one))) = domain(multiplication(X8,one)),
inference(forward_demodulation,[],[f205,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/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364',domain2) ).
fof(f205,plain,
! [X8,X7] : domain(multiplication(X8,addition(X7,one))) = domain(multiplication(X8,domain(one))),
inference(superposition,[],[f41,f172]) ).
fof(f172,plain,
! [X1] : domain(one) = domain(addition(X1,one)),
inference(superposition,[],[f140,f39]) ).
fof(f39,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.OvNtawYl7z/Vampire---4.8_27364',additive_commutativity) ).
fof(f140,plain,
! [X6] : domain(one) = domain(addition(one,X6)),
inference(superposition,[],[f130,f48]) ).
fof(f48,plain,
! [X6] : one = addition(one,domain(X6)),
inference(superposition,[],[f39,f37]) ).
fof(f37,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.OvNtawYl7z/Vampire---4.8_27364',domain3) ).
fof(f130,plain,
! [X2,X3] : domain(addition(X3,X2)) = domain(addition(X3,domain(X2))),
inference(forward_demodulation,[],[f126,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/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364',domain5) ).
fof(f126,plain,
! [X2,X3] : domain(addition(X3,domain(X2))) = addition(domain(X3),domain(X2)),
inference(superposition,[],[f40,f118]) ).
fof(f118,plain,
! [X1] : domain(X1) = domain(domain(X1)),
inference(forward_demodulation,[],[f110,f35]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364',multiplicative_left_identity) ).
fof(f110,plain,
! [X1] : domain(multiplication(one,X1)) = domain(domain(X1)),
inference(superposition,[],[f41,f35]) ).
fof(f1216,plain,
domain(sK0) != domain(multiplication(sK0,addition(sK1,one))),
inference(forward_demodulation,[],[f1196,f115]) ).
fof(f115,plain,
! [X2,X3,X1] : domain(multiplication(X3,addition(X1,X2))) = domain(multiplication(X3,addition(X2,X1))),
inference(forward_demodulation,[],[f106,f41]) ).
fof(f106,plain,
! [X2,X3,X1] : domain(multiplication(X3,addition(X1,X2))) = domain(multiplication(X3,domain(addition(X2,X1)))),
inference(superposition,[],[f41,f75]) ).
fof(f75,plain,
! [X3,X4] : domain(addition(X3,X4)) = domain(addition(X4,X3)),
inference(forward_demodulation,[],[f67,f40]) ).
fof(f67,plain,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X4),domain(X3)),
inference(superposition,[],[f40,f39]) ).
fof(f1196,plain,
domain(sK0) != domain(multiplication(sK0,addition(one,sK1))),
inference(superposition,[],[f62,f650]) ).
fof(f650,plain,
! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
inference(superposition,[],[f44,f34]) ).
fof(f44,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.OvNtawYl7z/Vampire---4.8_27364',right_distributivity) ).
fof(f62,plain,
domain(sK0) != domain(addition(sK0,multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f60,f40]) ).
fof(f60,plain,
domain(sK0) != addition(domain(sK0),domain(multiplication(sK0,sK1))),
inference(superposition,[],[f29,f39]) ).
fof(f29,plain,
domain(sK0) != addition(domain(multiplication(sK0,sK1)),domain(sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(sK0) != addition(domain(multiplication(sK0,sK1)),domain(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(X0) != addition(domain(multiplication(X0,X1)),domain(X0))
=> domain(sK0) != addition(domain(multiplication(sK0,sK1)),domain(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(X0) != addition(domain(multiplication(X0,X1)),domain(X0)),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(X0) = addition(domain(multiplication(X0,X1)),domain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(X3) = addition(domain(multiplication(X3,X4)),domain(X3)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(X3) = addition(domain(multiplication(X3,X4)),domain(X3)),
file('/export/starexec/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE054+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n026.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
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 12:02:05 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364
% 0.15/0.37 % (27472)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27476)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)
% 0.23/0.43 % (27478)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.43 % (27474)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)
% 0.23/0.43 % (27475)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)
% 0.23/0.43 % (27473)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)
% 0.23/0.43 % (27479)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)
% 0.23/0.43 % (27477)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)
% 0.23/0.44 % (27477)Refutation not found, incomplete strategy% (27477)------------------------------
% 0.23/0.44 % (27477)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (27477)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (27477)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (27477)Memory used [KB]: 895
% 0.23/0.44 % (27477)Time elapsed: 0.003 s
% 0.23/0.44 % (27477)------------------------------
% 0.23/0.44 % (27477)------------------------------
% 0.23/0.46 % (27478)First to succeed.
% 0.23/0.46 % (27478)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (27478)------------------------------
% 0.23/0.46 % (27478)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (27478)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (27478)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (27478)Memory used [KB]: 1791
% 0.23/0.46 % (27478)Time elapsed: 0.031 s
% 0.23/0.46 % (27478)------------------------------
% 0.23/0.46 % (27478)------------------------------
% 0.23/0.46 % (27472)Success in time 0.089 s
% 0.23/0.46 27473 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.OvNtawYl7z/Vampire---4.8_27364
% 0.23/0.46 % (27473)------------------------------
% 0.23/0.46 % (27473)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (27473)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (27473)Termination reason: Unknown
% 0.23/0.46 % (27473)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (27473)Memory used [KB]: 5373
% 0.23/0.46 % (27473)Time elapsed: 0.033 s
% 0.23/0.46 % (27473)------------------------------
% 0.23/0.46 % (27473)------------------------------
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------