TSTP Solution File: KLE060+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE060+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 : n002.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 17:09:12 EDT 2023
% Result : Theorem 112.38s 16.94s
% Output : Refutation 112.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 79 unt; 0 def)
% Number of atoms : 91 ( 66 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 4 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 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 : 159 (; 155 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f610332,plain,
$false,
inference(trivial_inequality_removal,[],[f609781]) ).
fof(f609781,plain,
domain(multiplication(domain(sK0),sK1)) != domain(multiplication(domain(sK0),sK1)),
inference(superposition,[],[f30,f609115]) ).
fof(f609115,plain,
! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(forward_demodulation,[],[f608835,f121531]) ).
fof(f121531,plain,
! [X36,X37] : domain(multiplication(domain(X36),X37)) = addition(domain(multiplication(domain(X36),X37)),multiplication(domain(X36),domain(X37))),
inference(forward_demodulation,[],[f120967,f42]) ).
fof(f42,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.8gpWahmIbF/Vampire---4.8_6543',domain2) ).
fof(f120967,plain,
! [X36,X37] : domain(multiplication(domain(X36),domain(X37))) = addition(domain(multiplication(domain(X36),domain(X37))),multiplication(domain(X36),domain(X37))),
inference(superposition,[],[f46109,f16031]) ).
fof(f16031,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(superposition,[],[f15761,f39]) ).
fof(f39,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox2/tmp/tmp.8gpWahmIbF/Vampire---4.8_6543',domain1) ).
fof(f15761,plain,
! [X6,X5] : addition(X6,multiplication(domain(X5),X6)) = X6,
inference(superposition,[],[f15680,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.8gpWahmIbF/Vampire---4.8_6543',additive_commutativity) ).
fof(f15680,plain,
! [X0,X1] : addition(multiplication(domain(X0),X1),X1) = X1,
inference(unit_resulting_resolution,[],[f15675,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.8gpWahmIbF/Vampire---4.8_6543',order) ).
fof(f15675,plain,
! [X65,X66] : leq(multiplication(domain(X65),X66),X66),
inference(forward_demodulation,[],[f15652,f36]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.8gpWahmIbF/Vampire---4.8_6543',multiplicative_left_identity) ).
fof(f15652,plain,
! [X65,X66] : leq(multiplication(domain(X65),X66),multiplication(one,X66)),
inference(superposition,[],[f15128,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.8gpWahmIbF/Vampire---4.8_6543',domain3) ).
fof(f15128,plain,
! [X83,X84,X85] : leq(multiplication(X83,X84),multiplication(addition(X83,X85),X84)),
inference(superposition,[],[f2209,f48]) ).
fof(f48,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/sandbox2/tmp/tmp.8gpWahmIbF/Vampire---4.8_6543',left_distributivity) ).
fof(f2209,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(unit_resulting_resolution,[],[f2153,f44]) ).
fof(f44,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f2153,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.8gpWahmIbF/Vampire---4.8_6543',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.8gpWahmIbF/Vampire---4.8_6543',additive_associativity) ).
fof(f46109,plain,
! [X18,X19,X20] : addition(X20,multiplication(X20,multiplication(domain(X18),domain(X19)))) = X20,
inference(forward_demodulation,[],[f45807,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.8gpWahmIbF/Vampire---4.8_6543',multiplicative_right_identity) ).
fof(f45807,plain,
! [X18,X19,X20] : multiplication(X20,one) = addition(X20,multiplication(X20,multiplication(domain(X18),domain(X19)))),
inference(superposition,[],[f8216,f8884]) ).
fof(f8884,plain,
! [X324,X323] : one = addition(one,multiplication(domain(X323),domain(X324))),
inference(forward_demodulation,[],[f8826,f51]) ).
fof(f51,plain,
! [X6] : one = addition(one,domain(X6)),
inference(superposition,[],[f40,f38]) ).
fof(f8826,plain,
! [X324,X323] : addition(one,multiplication(domain(X323),domain(X324))) = addition(one,domain(X323)),
inference(superposition,[],[f4909,f8577]) ).
fof(f8577,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),X0) = X0,
inference(unit_resulting_resolution,[],[f8571,f43]) ).
fof(f8571,plain,
! [X50,X49] : leq(multiplication(X50,domain(X49)),X50),
inference(forward_demodulation,[],[f8556,f35]) ).
fof(f8556,plain,
! [X50,X49] : leq(multiplication(X50,domain(X49)),multiplication(X50,one)),
inference(superposition,[],[f8250,f38]) ).
fof(f8250,plain,
! [X58,X56,X57] : leq(multiplication(X56,X57),multiplication(X56,addition(X57,X58))),
inference(superposition,[],[f2209,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.8gpWahmIbF/Vampire---4.8_6543',right_distributivity) ).
fof(f4909,plain,
! [X10,X11] : addition(one,X11) = addition(one,addition(X11,domain(X10))),
inference(superposition,[],[f2161,f40]) ).
fof(f2161,plain,
! [X19,X20] : addition(one,X20) = addition(one,addition(domain(X19),X20)),
inference(superposition,[],[f45,f51]) ).
fof(f8216,plain,
! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
inference(superposition,[],[f47,f35]) ).
fof(f608835,plain,
! [X0,X1] : multiplication(domain(X0),domain(X1)) = addition(domain(multiplication(domain(X0),X1)),multiplication(domain(X0),domain(X1))),
inference(unit_resulting_resolution,[],[f608500,f43]) ).
fof(f608500,plain,
! [X884,X883] : leq(domain(multiplication(domain(X883),X884)),multiplication(domain(X883),domain(X884))),
inference(forward_demodulation,[],[f607985,f144]) ).
fof(f144,plain,
! [X1] : domain(X1) = domain(domain(X1)),
inference(forward_demodulation,[],[f137,f36]) ).
fof(f137,plain,
! [X1] : domain(multiplication(one,X1)) = domain(domain(X1)),
inference(superposition,[],[f42,f36]) ).
fof(f607985,plain,
! [X884,X883] : leq(domain(multiplication(domain(X883),X884)),multiplication(domain(domain(X883)),domain(X884))),
inference(superposition,[],[f72142,f27927]) ).
fof(f27927,plain,
! [X14,X13] : domain(multiplication(X13,X14)) = multiplication(domain(X13),domain(multiplication(X13,X14))),
inference(forward_demodulation,[],[f27738,f42]) ).
fof(f27738,plain,
! [X14,X13] : domain(multiplication(X13,domain(X14))) = multiplication(domain(X13),domain(multiplication(X13,domain(X14)))),
inference(superposition,[],[f25407,f8697]) ).
fof(f8697,plain,
! [X2,X3] : addition(X2,multiplication(X2,domain(X3))) = X2,
inference(superposition,[],[f8577,f40]) ).
fof(f25407,plain,
! [X0,X1] : domain(X1) = multiplication(domain(addition(X0,X1)),domain(X1)),
inference(forward_demodulation,[],[f25306,f15761]) ).
fof(f25306,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),domain(X1)) = addition(domain(X1),multiplication(domain(addition(X0,X1)),domain(X1))),
inference(unit_resulting_resolution,[],[f15479,f43]) ).
fof(f15479,plain,
! [X42,X43] : leq(domain(X42),multiplication(domain(addition(X43,X42)),domain(X42))),
inference(forward_demodulation,[],[f15443,f144]) ).
fof(f15443,plain,
! [X42,X43] : leq(domain(X42),multiplication(domain(domain(addition(X43,X42))),domain(X42))),
inference(superposition,[],[f15273,f126]) ).
fof(f126,plain,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X4),domain(X3)),
inference(superposition,[],[f41,f40]) ).
fof(f41,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.8gpWahmIbF/Vampire---4.8_6543',domain5) ).
fof(f15273,plain,
! [X16,X17] : leq(X17,multiplication(domain(addition(X17,X16)),X17)),
inference(superposition,[],[f15110,f126]) ).
fof(f15110,plain,
! [X34,X35] : leq(X35,multiplication(addition(X34,domain(X35)),X35)),
inference(superposition,[],[f2689,f48]) ).
fof(f2689,plain,
! [X14,X13] : leq(X13,addition(X14,multiplication(domain(X13),X13))),
inference(superposition,[],[f2556,f39]) ).
fof(f2556,plain,
! [X2,X3,X4] : leq(X3,addition(X4,addition(X3,X2))),
inference(superposition,[],[f2287,f40]) ).
fof(f2287,plain,
! [X10,X11,X9] : leq(X11,addition(X9,addition(X10,X11))),
inference(superposition,[],[f2265,f45]) ).
fof(f2265,plain,
! [X2,X1] : leq(X1,addition(X2,X1)),
inference(superposition,[],[f2209,f40]) ).
fof(f72142,plain,
! [X70,X68,X69] : leq(multiplication(X70,domain(multiplication(domain(X69),X68))),multiplication(X70,domain(X68))),
inference(superposition,[],[f8557,f15761]) ).
fof(f8557,plain,
! [X51,X52,X53] : leq(multiplication(X53,domain(X51)),multiplication(X53,domain(addition(X52,X51)))),
inference(superposition,[],[f8250,f126]) ).
fof(f30,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1))
=> domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
file('/export/starexec/sandbox2/tmp/tmp.8gpWahmIbF/Vampire---4.8_6543',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 17:59:51 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.18/0.41 % (6696)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (6697)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41 % (6700)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 % (6698)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (6702)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)
% 0.18/0.41 % (6703)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)
% 0.18/0.41 % (6701)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)
% 0.18/0.41 % (6699)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)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.42 TRYING [1]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [2]
% 0.18/0.42 TRYING [4]
% 0.18/0.43 TRYING [3]
% 0.18/0.45 TRYING [4]
% 0.18/0.46 TRYING [5]
% 0.18/0.54 TRYING [6]
% 0.18/0.58 TRYING [5]
% 0.18/0.76 TRYING [7]
% 3.67/0.97 TRYING [6]
% 5.76/1.25 TRYING [8]
% 7.75/1.51 TRYING [1]
% 7.75/1.51 TRYING [2]
% 7.78/1.51 TRYING [3]
% 7.78/1.53 TRYING [4]
% 7.78/1.58 TRYING [5]
% 9.01/1.73 TRYING [6]
% 12.27/2.16 TRYING [7]
% 14.36/2.46 TRYING [9]
% 19.27/3.16 TRYING [8]
% 19.70/3.30 TRYING [7]
% 30.15/4.77 TRYING [10]
% 34.62/5.50 TRYING [9]
% 58.83/9.22 TRYING [11]
% 67.16/10.30 TRYING [10]
% 68.93/10.56 TRYING [8]
% 112.38/16.91 % (6703)First to succeed.
% 112.38/16.94 % (6703)Refutation found. Thanks to Tanya!
% 112.38/16.94 % SZS status Theorem for Vampire---4
% 112.38/16.94 % SZS output start Proof for Vampire---4
% See solution above
% 112.38/16.94 % (6703)------------------------------
% 112.38/16.94 % (6703)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 112.38/16.94 % (6703)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 112.38/16.94 % (6703)Termination reason: Refutation
% 112.38/16.94
% 112.38/16.94 % (6703)Memory used [KB]: 517859
% 112.38/16.94 % (6703)Time elapsed: 16.501 s
% 112.38/16.94 % (6703)------------------------------
% 112.38/16.94 % (6703)------------------------------
% 112.38/16.94 % (6696)Success in time 16.509 s
% 112.38/16.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------