TSTP Solution File: KLE090-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n024.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 17:09:16 EDT 2023
% Result : Unsatisfiable 27.83s 4.44s
% Output : Refutation 27.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 48 (; 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179567,plain,
$false,
inference(trivial_inequality_removal,[],[f179524]) ).
fof(f179524,plain,
antidomain(sK2_goals_X0) != antidomain(sK2_goals_X0),
inference(superposition,[],[f44,f179505]) ).
fof(f179505,plain,
antidomain(sK2_goals_X0) = addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)),
inference(forward_demodulation,[],[f179504,f9]) ).
fof(f9,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',multiplicative_left_identity) ).
fof(f179504,plain,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) = multiplication(one,antidomain(sK2_goals_X0)),
inference(forward_demodulation,[],[f179453,f401]) ).
fof(f401,plain,
! [X1] : one = addition(one,antidomain(X1)),
inference(superposition,[],[f373,f3]) ).
fof(f3,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',additive_commutativity) ).
fof(f373,plain,
! [X12] : one = addition(antidomain(X12),one),
inference(superposition,[],[f106,f86]) ).
fof(f86,plain,
! [X1] : one = addition(antidomain(X1),domain(X1)),
inference(superposition,[],[f27,f3]) ).
fof(f27,plain,
! [X3] : one = addition(domain(X3),antidomain(X3)),
inference(forward_demodulation,[],[f18,f19]) ).
fof(f19,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',domain4) ).
fof(f18,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',domain3) ).
fof(f106,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/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',additive_idempotence) ).
fof(f4,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',additive_associativity) ).
fof(f179453,plain,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) = multiplication(addition(one,antidomain(sK1_goals_X1)),antidomain(sK2_goals_X0)),
inference(superposition,[],[f795,f179368]) ).
fof(f179368,plain,
antidomain(sK1_goals_X1) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
inference(forward_demodulation,[],[f179279,f8]) ).
fof(f8,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',multiplicative_right_identity) ).
fof(f179279,plain,
multiplication(antidomain(sK1_goals_X1),one) = multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
inference(superposition,[],[f12962,f27]) ).
fof(f12962,plain,
! [X1] : multiplication(antidomain(sK1_goals_X1),X1) = multiplication(antidomain(sK1_goals_X1),addition(domain(sK2_goals_X0),X1)),
inference(forward_demodulation,[],[f12945,f42]) ).
fof(f42,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f3,f5]) ).
fof(f5,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',additive_identity) ).
fof(f12945,plain,
! [X1] : addition(zero,multiplication(antidomain(sK1_goals_X1),X1)) = multiplication(antidomain(sK1_goals_X1),addition(domain(sK2_goals_X0),X1)),
inference(superposition,[],[f10,f12932]) ).
fof(f12932,plain,
zero = multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)),
inference(forward_demodulation,[],[f12917,f13]) ).
fof(f13,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',left_annihilation) ).
fof(f12917,plain,
multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)) = multiplication(zero,multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
inference(superposition,[],[f2980,f12878]) ).
fof(f12878,plain,
zero = domain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
inference(forward_demodulation,[],[f12853,f30]) ).
fof(f30,plain,
zero = antidomain(one),
inference(superposition,[],[f16,f8]) ).
fof(f16,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',domain1) ).
fof(f12853,plain,
antidomain(one) = domain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
inference(superposition,[],[f19,f12650]) ).
fof(f12650,plain,
one = antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))),
inference(forward_demodulation,[],[f12649,f401]) ).
fof(f12649,plain,
antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = addition(one,antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))),
inference(forward_demodulation,[],[f12635,f93]) ).
fof(f93,plain,
one = antidomain(zero),
inference(superposition,[],[f90,f5]) ).
fof(f90,plain,
one = addition(antidomain(zero),zero),
inference(forward_demodulation,[],[f83,f30]) ).
fof(f83,plain,
one = addition(antidomain(zero),antidomain(one)),
inference(superposition,[],[f27,f33]) ).
fof(f33,plain,
antidomain(zero) = domain(one),
inference(superposition,[],[f19,f30]) ).
fof(f12635,plain,
antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0))) = addition(antidomain(zero),antidomain(multiplication(antidomain(sK1_goals_X1),domain(sK2_goals_X0)))),
inference(superposition,[],[f29,f12616]) ).
fof(f12616,plain,
zero = multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),
inference(forward_demodulation,[],[f12367,f16]) ).
fof(f12367,plain,
multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) = multiplication(antidomain(sK1_goals_X1),sK1_goals_X1),
inference(superposition,[],[f549,f4640]) ).
fof(f4640,plain,
sK1_goals_X1 = addition(sK1_goals_X1,sK2_goals_X0),
inference(forward_demodulation,[],[f4607,f5]) ).
fof(f4607,plain,
addition(sK1_goals_X1,sK2_goals_X0) = addition(sK1_goals_X1,zero),
inference(superposition,[],[f4524,f5]) ).
fof(f4524,plain,
! [X85] : addition(sK1_goals_X1,addition(sK2_goals_X0,X85)) = addition(sK1_goals_X1,X85),
inference(superposition,[],[f107,f24]) ).
fof(f24,axiom,
sK1_goals_X1 = addition(sK2_goals_X0,sK1_goals_X1),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',goals) ).
fof(f107,plain,
! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6),
inference(superposition,[],[f4,f3]) ).
fof(f549,plain,
! [X18,X17] : multiplication(antidomain(X17),addition(X17,X18)) = multiplication(antidomain(X17),X18),
inference(forward_demodulation,[],[f516,f42]) ).
fof(f516,plain,
! [X18,X17] : multiplication(antidomain(X17),addition(X17,X18)) = addition(zero,multiplication(antidomain(X17),X18)),
inference(superposition,[],[f10,f16]) ).
fof(f29,plain,
! [X3,X4] : antidomain(multiplication(X3,domain(X4))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,domain(X4)))),
inference(forward_demodulation,[],[f17,f19]) ).
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/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',domain2) ).
fof(f2980,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f2959,f9]) ).
fof(f2959,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(superposition,[],[f829,f86]) ).
fof(f829,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = multiplication(X18,X17),
inference(forward_demodulation,[],[f796,f42]) ).
fof(f796,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = addition(zero,multiplication(X18,X17)),
inference(superposition,[],[f11,f16]) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',left_distributivity) ).
fof(f10,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',right_distributivity) ).
fof(f795,plain,
! [X16,X15] : multiplication(addition(one,X16),X15) = addition(X15,multiplication(X16,X15)),
inference(superposition,[],[f11,f9]) ).
fof(f44,plain,
antidomain(sK2_goals_X0) != addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)),
inference(superposition,[],[f25,f3]) ).
fof(f25,axiom,
antidomain(sK2_goals_X0) != addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),
file('/export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106',goals_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE090-10 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.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 17:46:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (5341)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5386)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (5387)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (5388)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)
% 0.22/0.43 % (5390)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)
% 0.22/0.43 % (5392)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)
% 0.22/0.43 % (5391)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)
% 0.22/0.43 % (5389)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 TRYING [3]
% 0.22/0.51 TRYING [5]
% 0.22/0.52 TRYING [4]
% 0.22/0.64 TRYING [6]
% 0.22/0.66 TRYING [5]
% 3.35/0.92 TRYING [7]
% 5.44/1.27 TRYING [6]
% 7.41/1.53 TRYING [1]
% 7.41/1.53 TRYING [2]
% 7.88/1.53 TRYING [3]
% 7.88/1.55 TRYING [4]
% 8.56/1.63 TRYING [5]
% 8.56/1.64 TRYING [8]
% 9.98/1.89 TRYING [6]
% 14.46/2.58 TRYING [7]
% 21.57/3.55 TRYING [7]
% 23.15/3.78 TRYING [9]
% 25.73/4.12 TRYING [8]
% 27.83/4.43 % (5391)First to succeed.
% 27.83/4.44 % (5391)Refutation found. Thanks to Tanya!
% 27.83/4.44 % SZS status Unsatisfiable for Vampire---4
% 27.83/4.44 % SZS output start Proof for Vampire---4
% See solution above
% 27.83/4.44 % (5391)------------------------------
% 27.83/4.44 % (5391)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.83/4.44 % (5391)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.83/4.44 % (5391)Termination reason: Refutation
% 27.83/4.44
% 27.83/4.44 % (5391)Memory used [KB]: 122172
% 27.83/4.44 % (5391)Time elapsed: 4.0000 s
% 27.83/4.44 % (5391)------------------------------
% 27.83/4.44 % (5391)------------------------------
% 27.83/4.44 % (5341)Success in time 4.057 s
% 27.83/4.44 % Vampire---4.8 exiting
% 27.83/4.44 5392 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.wIlqbAwBMD/Vampire---4.8_5106
% 27.83/4.44 % (5392)------------------------------
% 27.83/4.44 % (5392)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.83/4.44 % (5392)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.83/4.44 % (5392)Termination reason: Unknown
% 27.83/4.44 % (5392)Termination phase: Saturation
% 27.83/4.44
% 27.83/4.44 % (5392)Memory used [KB]: 110787
% 27.83/4.44 % (5392)Time elapsed: 4.010 s
% 27.83/4.44 % (5392)------------------------------
% 27.83/4.44 % (5392)------------------------------
%------------------------------------------------------------------------------