TSTP Solution File: KLE090-10 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE090-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n001.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 05:36:45 EDT 2023
% Result : Unsatisfiable 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7934,plain,
$false,
inference(subsumption_resolution,[],[f7933,f31]) ).
fof(f31,plain,
sF1 != sF3,
inference(definition_folding,[],[f25,f30,f28,f29,f28]) ).
fof(f29,plain,
antidomain(sK1_goals_X1) = sF2,
introduced(function_definition,[]) ).
fof(f28,plain,
antidomain(sK2_goals_X0) = sF1,
introduced(function_definition,[]) ).
fof(f30,plain,
addition(sF2,sF1) = sF3,
introduced(function_definition,[]) ).
fof(f25,axiom,
antidomain(sK2_goals_X0) != addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',goals_1) ).
fof(f7933,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f7932,f45]) ).
fof(f45,plain,
sF3 = addition(sF1,sF2),
inference(superposition,[],[f3,f30]) ).
fof(f3,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',additive_commutativity) ).
fof(f7932,plain,
sF1 = addition(sF1,sF2),
inference(forward_demodulation,[],[f7931,f9]) ).
fof(f9,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',multiplicative_left_identity) ).
fof(f7931,plain,
addition(sF1,sF2) = multiplication(one,sF1),
inference(forward_demodulation,[],[f7917,f343]) ).
fof(f343,plain,
one = addition(one,sF2),
inference(forward_demodulation,[],[f329,f3]) ).
fof(f329,plain,
one = addition(sF2,one),
inference(superposition,[],[f72,f65]) ).
fof(f65,plain,
one = addition(sF2,antidomain(sF2)),
inference(superposition,[],[f34,f29]) ).
fof(f34,plain,
! [X3] : one = addition(antidomain(X3),antidomain(antidomain(X3))),
inference(forward_demodulation,[],[f18,f3]) ).
fof(f18,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',domain3) ).
fof(f72,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f4,f6]) ).
fof(f6,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',additive_idempotence) ).
fof(f4,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',additive_associativity) ).
fof(f7917,plain,
addition(sF1,sF2) = multiplication(addition(one,sF2),sF1),
inference(superposition,[],[f373,f7630]) ).
fof(f7630,plain,
sF2 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f7629,f8]) ).
fof(f8,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',multiplicative_right_identity) ).
fof(f7629,plain,
multiplication(sF2,one) = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f7593,f4575]) ).
fof(f4575,plain,
sF1 = antidomain(antidomain(sF1)),
inference(forward_demodulation,[],[f4574,f8]) ).
fof(f4574,plain,
sF1 = multiplication(antidomain(antidomain(sF1)),one),
inference(forward_demodulation,[],[f4508,f1636]) ).
fof(f1636,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f1615,f9]) ).
fof(f1615,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f411,f34]) ).
fof(f411,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = multiplication(X18,X17),
inference(forward_demodulation,[],[f374,f44]) ).
fof(f44,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f3,f5]) ).
fof(f5,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',additive_identity) ).
fof(f374,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = addition(zero,multiplication(X18,X17)),
inference(superposition,[],[f11,f16]) ).
fof(f16,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',domain1) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',left_distributivity) ).
fof(f4508,plain,
multiplication(antidomain(antidomain(sF1)),one) = multiplication(antidomain(antidomain(sF1)),sF1),
inference(superposition,[],[f302,f64]) ).
fof(f64,plain,
one = addition(sF1,antidomain(sF1)),
inference(superposition,[],[f34,f28]) ).
fof(f302,plain,
! [X18,X17] : multiplication(antidomain(X17),X18) = multiplication(antidomain(X17),addition(X18,X17)),
inference(forward_demodulation,[],[f261,f5]) ).
fof(f261,plain,
! [X18,X17] : multiplication(antidomain(X17),addition(X18,X17)) = addition(multiplication(antidomain(X17),X18),zero),
inference(superposition,[],[f10,f16]) ).
fof(f10,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',right_distributivity) ).
fof(f7593,plain,
multiplication(sF2,one) = multiplication(sF2,antidomain(antidomain(sF1))),
inference(superposition,[],[f3943,f34]) ).
fof(f3943,plain,
! [X1] : multiplication(sF2,X1) = multiplication(sF2,addition(antidomain(sF1),X1)),
inference(forward_demodulation,[],[f3933,f44]) ).
fof(f3933,plain,
! [X1] : addition(zero,multiplication(sF2,X1)) = multiplication(sF2,addition(antidomain(sF1),X1)),
inference(superposition,[],[f10,f3915]) ).
fof(f3915,plain,
zero = multiplication(sF2,antidomain(sF1)),
inference(forward_demodulation,[],[f3901,f9]) ).
fof(f3901,plain,
zero = multiplication(one,multiplication(sF2,antidomain(sF1))),
inference(superposition,[],[f16,f3662]) ).
fof(f3662,plain,
one = antidomain(multiplication(sF2,antidomain(sF1))),
inference(forward_demodulation,[],[f3661,f340]) ).
fof(f340,plain,
! [X15] : one = addition(one,antidomain(X15)),
inference(forward_demodulation,[],[f320,f3]) ).
fof(f320,plain,
! [X15] : one = addition(antidomain(X15),one),
inference(superposition,[],[f72,f34]) ).
fof(f3661,plain,
antidomain(multiplication(sF2,antidomain(sF1))) = addition(one,antidomain(multiplication(sF2,antidomain(sF1)))),
inference(forward_demodulation,[],[f3660,f67]) ).
fof(f67,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f66,f44]) ).
fof(f66,plain,
one = addition(zero,antidomain(zero)),
inference(superposition,[],[f34,f37]) ).
fof(f37,plain,
zero = antidomain(one),
inference(superposition,[],[f16,f8]) ).
fof(f3660,plain,
antidomain(multiplication(sF2,antidomain(sF1))) = addition(antidomain(zero),antidomain(multiplication(sF2,antidomain(sF1)))),
inference(forward_demodulation,[],[f3651,f28]) ).
fof(f3651,plain,
antidomain(multiplication(sF2,antidomain(antidomain(sK2_goals_X0)))) = addition(antidomain(zero),antidomain(multiplication(sF2,antidomain(antidomain(sK2_goals_X0))))),
inference(superposition,[],[f17,f3626]) ).
fof(f3626,plain,
zero = multiplication(sF2,sK2_goals_X0),
inference(forward_demodulation,[],[f3600,f36]) ).
fof(f36,plain,
zero = multiplication(sF2,sK1_goals_X1),
inference(superposition,[],[f16,f29]) ).
fof(f3600,plain,
multiplication(sF2,sK1_goals_X1) = multiplication(sF2,sK2_goals_X0),
inference(superposition,[],[f289,f43]) ).
fof(f43,plain,
sK1_goals_X1 = addition(sK1_goals_X1,sK2_goals_X0),
inference(superposition,[],[f3,f32]) ).
fof(f32,plain,
sK1_goals_X1 = addition(sK2_goals_X0,sK1_goals_X1),
inference(backward_demodulation,[],[f26,f27]) ).
fof(f27,plain,
sK1_goals_X1 = sF0,
inference(definition_folding,[],[f24,f26]) ).
fof(f24,axiom,
sK1_goals_X1 = addition(sK2_goals_X0,sK1_goals_X1),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',goals) ).
fof(f26,plain,
addition(sK2_goals_X0,sK1_goals_X1) = sF0,
introduced(function_definition,[]) ).
fof(f289,plain,
! [X25] : multiplication(sF2,addition(sK1_goals_X1,X25)) = multiplication(sF2,X25),
inference(forward_demodulation,[],[f252,f44]) ).
fof(f252,plain,
! [X25] : multiplication(sF2,addition(sK1_goals_X1,X25)) = addition(zero,multiplication(sF2,X25)),
inference(superposition,[],[f10,f36]) ).
fof(f17,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576',domain2) ).
fof(f373,plain,
! [X16,X15] : multiplication(addition(one,X16),X15) = addition(X15,multiplication(X16,X15)),
inference(superposition,[],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE090-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n001.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 : Tue Aug 29 12:44:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.xtCXK3m9xC/Vampire---4.8_29576
% 0.15/0.36 % (29768)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29786)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.22/0.42 % (29778)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.22/0.42 % (29783)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (29779)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.22/0.42 % (29774)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.22/0.42 % (29771)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.22/0.42 % (29789)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.22/0.57 % (29771)First to succeed.
% 0.22/0.57 % (29771)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.57 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.57 % (29771)------------------------------
% 0.22/0.57 % (29771)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.57 % (29771)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.57 % (29771)Termination reason: Refutation
% 0.22/0.57
% 0.22/0.57 % (29771)Memory used [KB]: 6524
% 0.22/0.57 % (29771)Time elapsed: 0.147 s
% 0.22/0.57 % (29771)------------------------------
% 0.22/0.57 % (29771)------------------------------
% 0.22/0.57 % (29768)Success in time 0.205 s
% 0.22/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------